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1
Martínez, Javier Andrés, Freddy Humberto Escobar, and José Humberto Cantillo. "Applying Tiab's direct synthesis technique to dilatant non-Newtonian/Newtonian fluids." Ingeniería e Investigación 31, no. 3 (September 1, 2011): 130–34. http://dx.doi.org/10.15446/ing.investig.v31n3.26404.
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Non-Newtonian fluids, such as polymer solutions, have been used by the oil industry for many years as fracturing agents and drilling mud. These solutions, which normally include thickened water and jelled fluids, are injected into the formation to enhanced oil recovery by improving sweep efficiency. It is worth noting that some heavy oils behave non-Newtonianly. Non-Newtonian fluids do not have direct proportionality between applied shear stress and shear rate and viscosity varies with shear rate depending on whether the fluid is either pseudoplastic or dilatant. Viscosity decreases as shear rate increases for the former whilst the reverse takes place for dilatants. Mathematical models of conventional fluids thus fail when applied to non-Newtonian fluids. The pressure derivative curve is introduced in this descriptive work for a dilatant fluid and its pattern was observed. Tiab's direct synthesis (TDS) methodology was used as a tool for interpreting pressure transient data to estimate effective permeability, skin factors and non-Newtonian bank radius. The methodology was successfully verified by its application to synthetic examples. Also, comparing it to pseudoplastic behavior, it was found that the radial flow regime in the Newtonian zone of dilatant fluids took longer to form regarding both the flow behavior index and consistency factor.
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Song, Jinhyeuk, Jaekyeong Jang, Taehoon Kim, and Younghak Cho. "Particle Separation in a Microchannel with a T-Shaped Cross-Section Using Co-Flow of Newtonian and Viscoelastic Fluids." Micromachines 14, no. 10 (September 28, 2023): 1863. http://dx.doi.org/10.3390/mi14101863.
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In this study, we investigated the particle separation phenomenon in a microchannel with a T-shaped cross-section, a unique design detailed in our previous study. Utilizing a co-flow system within this T-shaped microchannel, we examined two types of flow configuration: one where a Newtonian fluid served as the inner fluid and a viscoelastic fluid as the outer fluid (Newtonian/viscoelastic), and another where both the inner and outer fluids were Newtonian fluids (Newtonian/Newtonian). We introduced a mixture of three differently sized particles into the microchannel through the outer fluid and observed that the co-flow of Newtonian/viscoelastic fluids effectively separated particles based on their size compared with Newtonian/Newtonian fluids. In this context, we evaluated and compared the particle separation efficiency, recovery rate, and enrichment factor across both co-flow configurations. The Newtonian/viscoelastic co-flow system demonstrated a superior efficiency and recovery ratio when compared with the Newtonian/Newtonian system. Additionally, we assessed the influence of the flow rate ratio between the inner and outer fluids on particle separation within each co-flow system. Our results indicated that increasing the flow rate ratio enhanced the separation efficiency, particularly in the Newtonian/viscoelastic co-flow configuration. Consequently, this study substantiates the potential of utilizing a Newtonian/viscoelastic co-flow system in a T-shaped straight microchannel for the simultaneous separation of three differently sized particles.
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Gagnon, D. A., and P. E. Arratia. "The cost of swimming in generalized Newtonian fluids: experiments with C. elegans." Journal of Fluid Mechanics 800 (July 14, 2016): 753–65. http://dx.doi.org/10.1017/jfm.2016.420.
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Numerous natural processes are contingent on microorganisms’ ability to swim through fluids with non-Newtonian rheology. Here, we use the model organism Caenorhabditis elegans and tracking methods to experimentally investigate the dynamics of undulatory swimming in shear-thinning fluids. Theory and simulation have proposed that the cost of swimming, or mechanical power, should be lower in a shear-thinning fluid compared to a Newtonian fluid of the same zero-shear viscosity. We aim to provide an experimental investigation into the cost of swimming in a shear-thinning fluid from (i) an estimate of the mechanical power of the swimmer and (ii) the viscous dissipation rate of the flow field, which should yield equivalent results for a self-propelled low Reynolds number swimmer. We find the cost of swimming in shear-thinning fluids is less than or equal to the cost of swimming in Newtonian fluids of the same zero-shear viscosity; furthermore, the cost of swimming in shear-thinning fluids scales with a fluid’s effective viscosity and can be predicted using fluid rheology and simple swimming kinematics. Our results agree reasonably well with previous theoretical predictions and provide a framework for understanding the cost of swimming in generalized Newtonian fluids.
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Safa Riyadh Ridha. "A Review Report of Present Trend in Peristaltic Activity of MHD NON-Newtonian and Newtonian Fluids." Jornual of AL-Farabi for Engineering Sciences 1, no. 2 (December 1, 2022): 9. http://dx.doi.org/10.59746/jfes.v1i2.40.
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This academic paper deals with reviewing theoretical studies on MHD peristaltic transport of the Non-Newtonian as well as Newtonian fluids such as Hyperbolic Tangent fluid, Carreau fluid and Bingham fluid. Here, a wide range of study subjects, concepts, points of view, and mathematical models are presented. All of these studies are focused on Non-Newtonian fluids peristaltic activity. Among numerous of the Non- Newtonian fluids flows in physiological system, blood pumping mechanics
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Nabwey, Hossam A., Farhad Rahbar, Taher Armaghani, Ahmed M. Rashad, and Ali J. Chamkha. "A Comprehensive Review of Non-Newtonian Nanofluid Heat Transfer." Symmetry 15, no. 2 (January 29, 2023): 362. http://dx.doi.org/10.3390/sym15020362.
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Nanofluids behave like non-Newtonian fluids in many cases and, therefore, studying their symmetrical behavior is of paramount importance in nanofluid heat transfer modeling. This article attempts to provide are flection on symmetry via thorough description of a variety of non-Newtonian models and further provides a comprehensive review of articles on non-Newtonian models that have applied symmetrical flow modeling and nanofluid heat transfer. This study reviews articles from recent years and provides a comprehensive analysis of them. Furthermore, a thorough statistical symmetrical analysis regarding the commonality of nanoparticles, base fluids and numerical solutions to equations is provided. This article also investigates the history of nanofluid use as a non-Newtonian fluid; that is, the base fluid is considered to be non-Newtonian fluid or the base fluid is Newtonian, such as water. However, the nanofluid in question is regarded as non-Newtonian in modeling. Results show that 25% of articles considered nanofluids with Newtonian base fluid as a non-Newtonian model. In this article, the following questions are answered for the first time: Which non-Newtonian model has been used to model nanofluids? What are the most common non-Newtonian base fluids? Which numerical method is most used to solve non-Newtonian equations?
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Shaukat, Ayesha, Muhammad Mushtaq, Saadia Farid, Kanwal Jabeen, and Rana Muhammad Akram Muntazir. "A Study of Magnetic/Nonmagnetic Nanoparticles Fluid Flow under the Influence of Nonlinear Thermal Radiation." Mathematical Problems in Engineering 2021 (November 20, 2021): 1–15. http://dx.doi.org/10.1155/2021/2210414.
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The present research work scrutinizes numerical heat transfer in convective boundary layer flow having characteristics of magnetic ( Fe 3 O 4 ) and nonmagnetic ( Al 2 O 3 ) nanoparticles synthesized into two different kinds of Newtonian (water) and non-Newtonian (sodium alginate) convectional base fluids of casson nanofluid which integrates the captivating effects of nonlinear thermal radiation and magnetic field embedded in a porous medium. The characterization of electrically transmitted viscous incompressible fluid is taken into account within the Casson fluid model. The mathematical formulation of governing partial differential equations (PDEs) with highly nonlinearity is renovated into ordinary differential equations (ODEs) by utilizing the suitable similarity transform that constitutes nondimensional pertinent parameters. The transformed ODEs are tackled numerically by implementing b v p 4 c in MATLAB. A graphical illustration for the purpose of better numerical computations of flow regime is deliberated for the specified parameters corresponding to different profiles (velocity and temperature). To elaborate the behavior of Nusselt and skin friction factor, a tabular demonstration against the distinct specific parameters is analyzed. It is perceived that the velocity gradient of Newtonian fluids is much higher comparatively to non-newtonian fluids. On the contrary, the thermal gradient of non-Newtonian fluid becomes more condensed than that of Newtonian fluids. Graphical demonstration disclosed that the heat transfer analysis in non-Newtonian (sodium alginate)-based fluid is tremendously influenced comparatively to Newtonian (water)-based fluid, and radiation interacts with the highly denser temperature profile of non-Newtonian fluid in contrast to that of Newtonian fluid. Through such comparative analysis of magnetic or nonmagnetic nanoparticles synthesized into distinct base fluids, a considerable enhancement in thermal and heat transfer analysis is quite significant in many expanding engineering and industrial phenomenons.
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ALBAALBAKI, BASHAR, and ROGER E. KHAYAT. "Pattern selection in the thermal convection of non-Newtonian fluids." Journal of Fluid Mechanics 668 (January 5, 2011): 500–550. http://dx.doi.org/10.1017/s0022112010004775.
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The thermogravitational instability in a fluid layer of a non-Newtonian medium heated from below is investigated. Linear and weakly nonlinear analyses are successively presented. The fluid is assumed to obey the Carreau–Bird model. Although the critical threshold is the same as for a Newtonian fluid, it is found that non-Newtonian fluids can convect in the form of rolls, squares or hexagons, depending on the shear-thinning level. Similar to Newtonian fluids, shear-thickening fluids convect only in the form of rolls. The stability of the convective steady branches is carried out to determine under which specific conditions a pattern is preferred. The influence of the rheological and physical parameters is examined and discussed in detail.
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Kawase, Y. "Particle-fluid heat/mass transfer: Newtonian and non-Newtonian fluids." Wärme- und Stoffübertragung 27, no. 2 (February 1992): 73–76. http://dx.doi.org/10.1007/bf01590121.
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Bamborde, Atul, Akshta Kharkar, Mukul Hatwade, Deepak Raut, and Mrs Laxmi Gupta. "Study and Analysis of Non-Newtonian Fluid Speed Bump." International Journal for Research in Applied Science and Engineering Technology 11, no. 5 (May 31, 2023): 3201–6. http://dx.doi.org/10.22214/ijraset.2023.51670.
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Abstract: Research and investigation of non-Newtonian speed bumps with conventional speed bumps, are constructed from substances that behave like non-Newtonian fluids, such as shear thickening fluids or gels. In comparison to conventional speed bumps, the use of such materials in speed bumps may have a number of benefits, including a smoother ride, less noise, and better fuel efficiency. Non-Newtonian fluids have characteristics that set them apart from conventional fluids, like viscosity that varies depending on how much force is applied. Use various textures, color, and forms to depict the fluid's fluctuating viscosity and elasticity to express these special qualities in your college. The idea of non-Newtonian speed bumps next be discussed, along with the many non-Newtonian materials that can be used.
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Nag, Debabrata, and Amitava Datta. "Variation of the Recirculation Length of Newtonian and Non-Newtonian Power-Law Fluids in Laminar Flow Through a Suddenly Expanded Axisymmetric Geometry." Journal of Fluids Engineering 129, no. 2 (September 5, 2006): 245–50. http://dx.doi.org/10.1115/1.2409361.
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A numerical study has been carried out for the laminar flow of Newtonian and non-Newtonian power-law fluids through a suddenly expanded axisymmetric geometry. Mathematical correlations are proposed for the prediction of the length of the recirculating eddy in terms of Reynolds number, expansion ratio and rheological parameters. A wide range of expansion ratios (1.25⩽ER⩽8.0) has been covered for the Newtonian fluid and both the shear-thinning and shear-thickening flow characteristic fluids have been considered for the non-Newtonian fluids.
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Bouchendouka, Abdellah, Zine El Abiddine Fellah, Zakaria Larbi, Zineeddine Louna, Erick Ogam, Mohamed Fellah, and Claude Depollier. "Fractal Analysis of a Non-Newtonian Fluid Flow in a Rough-Walled Pipe." Materials 15, no. 10 (May 22, 2022): 3700. http://dx.doi.org/10.3390/ma15103700.
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The fully developed laminar flow of a viscous non-Newtonian fluid in a rough-walled pipe is considered. The fluid rheology is described by the power–law model (covering shear thinning, Newtonian, and shear thickening fluids). The rough surface of the pipe is considered to be fractal, and the surface roughness is measured using surface fractal dimensions. The main focus of this study lies in the theoretical investigation of the influence of the pipe surface roughness on the velocity profile and the Darcy friction factor of an incompressible non-Newtonian fluid. The plotted results demonstrate that shear thinning fluids are the most sensitive to the surface roughness compared with Newtonian and shear thickening fluids. For a particular value of the surface fractal dimension, there exists an intersection point where shear thinning, Newtonian, and shear thickening fluids behave the same way regarding the amplitude of the velocity profile and the friction factor. This approach has a variety of potential applications, for instance fluid dynamics in hydrology, blood flow in the cardiovascular system, and many industrial applications.
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McNeil, D. A., A. J. Addlesee, and A. Stuart. "Newtonian and non-Newtonian viscous flows in nozzles." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 214, no. 11 (November 1, 2000): 1425–36. http://dx.doi.org/10.1243/0954406001523399.
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A study of laminar, Newtonian and non-Newtonian fluids in nozzles has been undertaken. A theoretical model, previously deduced for Newtonian flows in expansions, was developed for Newtonian and non-Newtonian flows in nozzles. The model is based on a two-stream approach where the momentum and kinetic energy stored in the velocity profile of the fluid is altered by an area change of one stream relative to the other. The non-Newtonian liquids investigated were shear thinning. The model was used to investigate these non-Newtonian fluids and to justify the use of simpler, more approximate equations developed for the loss and flow coefficients. The model is compared favourably with data available in the open literature.
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Niedziela, D., A. Latz, and O. Iliev. "Simulations of Viscoelastic Polymer Solution Flows." NAFEMS International Journal of CFD Case Studies 6 (March 2007): 15–25. http://dx.doi.org/10.59972/d8hd7bkp.
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Many natural and synthetic fluids are viscoelastic materials i.e. the stress at a certain fluid particle depends upon the history of the deformation experienced by that particle. Polymer melts and most polymer solutions are examples of such liquids. Simulation of the flow of these fluids is therefore of great interest for the plastic industry. Viscoelastic fluids are examples of non - Newtonian fluids. While the Newtonian fluids are characterised by a constant viscosity (i.e., constant ratio between shear stress and the rate of strain), the non-Newtonian fluids require more complicated constitutive relations in order to close the governing system of equations...
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Shetty, Mayank Udayakumar, and Dhananjay Vijay Kapse. "Fabrication and Validation of Rotational Viscometer." International Journal for Research in Applied Science and Engineering Technology 10, no. 7 (July 31, 2022): 728–31. http://dx.doi.org/10.22214/ijraset.2022.45341.
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Abstract: An efficient rotational viscometer capable of determining viscosity of Non-Newtonian fluids has been developed and the design of this viscometer is described in detail in this paper. The Equations to find the viscosity of fluids is described in this paper. Viscosity of a Non-Newtonian fluid (ketchup) is found. The instrument is calibrated using standard fluids and a correction coefficient is obtained. An efficient method to find the viscosity of Non-Newtonian fluids is introduce in this paper
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Shan, Jie, and Xiaojun Zhou. "The Effect of Bubbles on Particle Migration in Non-Newtonian Fluids." Separations 8, no. 4 (March 24, 2021): 36. http://dx.doi.org/10.3390/separations8040036.
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The movement of the gas–liquid interface caused by the movement of the bubble position will have an impact on the starting conditions for particle migration. This article quantifies the influence of moving bubbles on the starting conditions of particle migration in non-Newtonian fluids, and it aims to better understand the influence of bubbles moving in non-Newtonian fluids on particle migration to achieve more effective control. First, the forces and moments acting on the particles are analyzed; then, fluid dynamics, non-Newtonian fluid mechanics, extended DLVO (Derjaguin Landau Verwey Overbeek theory), surface tension, and friction are applied on the combined effects of particle migration. Then, we reasonably predict the influence of gas–liquid interface movement on particle migration in non-Newtonian fluids. The theoretical results show that the movement of the gas–liquid interface in non-Newtonian fluids will increase the separation force acting on the particles, which will lead to particle migration. Second, we carry out the particle migration experiment of moving bubbles in non-Newtonian fluid. Experiments show that when the solid–liquid two-phase flow is originally stable, particle migration occurs after the bubble movement is added. This phenomenon shows that the non-Newtonian fluid with bubble motion has stronger particle migration ability. Although there are some errors, the experimental results basically support the theoretical data.
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Wang, Sheldon, Dalong Gao, Alexandria Wester, Kalyb Beaver, and Kuwin Wyke. "Analytical and Computational Modeling of Relaxation Times for Non-Newtonian Fluids." Fluids 9, no. 7 (July 20, 2024): 165. http://dx.doi.org/10.3390/fluids9070165.
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With the availability of efficient and sophisticated finite element analysis (FEA) and computational fluid dynamics (CFD) tools, engineering designs are becoming more software-driven and simulation-based. However, the insights relevant to engineering designs tend to be hidden within massive temporal and spatial data produced with full-fledged three-dimensional simulations. In this paper, we present a preliminary study of the controlled intermittent dispensing of a typical non-Newtonian glue employed in the manufacturing of electric vehicles (EVs). The focus of the study is on the scaling issues derived from different computational and analytical models of interest and importance to the precision control of this non-Newtonian fluid, the lowest dynamic viscosity of which at extremely high shear rates is nearly four million times that of water. More specifically, the abrupt change of the inlet pressure with a constant outlet or ambient pressure and various modeling strategies for transient viscous internal flow with both Newtonian and non-Newtonian fluids are modeled and compared. The analytical and computational results of the developing Newtonian fluid, i.e., water, are derived and computed for validation and verification purposes before the actual applications to the developing non-Newtonian fluid. The concept of a well-established relaxation time before the onset of the steady solution for Newtonian fluids has been validated with both analytical and computational approaches before its expansion and adoption to non-Newtonian fluids with complex rheological behaviors. Other issues attributed to transient operations and precision controls of non-Newtonian fluid delivery involve the pressure pulse and pressure wave propagation within the flexible pipe with compressible or almost incompressible non-Newtonian fluids with a constant pressure at the outlet and a constant mass flow rate or average axial velocity at the inlet, which will be addressed in a separate paper.
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Kaminsky, R. D. "Predicting Single-Phase and Two-Phase Non-Newtonian Flow Behavior in Pipes." Journal of Energy Resources Technology 120, no. 1 (March 1, 1998): 2–7. http://dx.doi.org/10.1115/1.2795006.
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Improved and novel prediction methods are described for single-phase and two-phase flow of non-Newtonian fluids in pipes. Good predictions are achieved for pressure drop, liquid holdup fraction, and two-phase flow regime. The methods are applicable to any visco-inelastic non-Newtonian fluid and include the effect of surface roughness. The methods utilize a reference fluid for which validated models exist. For single-phase flow, the use of Newtonian and power-law reference fluids are illustrated. For two-phase flow, a Newtonian reference fluid is used. Focus is given to shear-thinning fluids. The approach is theoretically based and is expected to be more accurate for large, high-pressure pipelines than present correlation methods, which are all primarily based on low-pressure, small-diameter pipe experimental data.
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Akbarzadeh, Pooria, Mahmood Norouzi, Reza Ghasemi, and Seyed Zia Daghighi. "Experimental study on the entry of solid spheres into Newtonian and non-Newtonian fluids." Physics of Fluids 34, no. 3 (March 2022): 033111. http://dx.doi.org/10.1063/5.0081002.
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This study experimentally investigates the entry of hydrophobic/hydrophilic spheres into Newtonian and Boger fluids. By considering solution of 82% glycerin and 18% water and solution of 80% glycerin, 20% water and 100 ppm polyacrylamide, Newtonian and Boger fluids are made, respectively. It has been tried that liquids' surface tension, density, and viscosity are almost the same. Thus, all dimensionless numbers are approximately the same at a similar impact velocity except for the elasticity number. A PcoDimaxS highspeed camera captures the spheres' trajectory from the impact to the end of the path. Regarding the range of released height ([Formula: see text]), the impact velocities are approximately in the range of [Formula: see text]. The role of fluid elasticity in combination with the sphere surface wettability on the air cavity formation/evolution/collapse is mainly studied. Also, the kinetics of the sphere motion (velocity, acceleration, and hydrodynamic force coefficient) is studied. The results show that air drawn due to the sphere's impact with the Newtonian liquid is more, and the pinch-off takes place later. Also, shedding bubbles are cusped-shaped in the Boger fluid, while in the Newtonian fluid, they are elliptical. In addition, the most significant impact of surface wettability is observed in the Newtonian fluid. Finally, the results reveal that the sphere in the Newtonian fluid can move faster and travel a longer distance in a specific time interval. The differences observed are closely related to the viscoelastic fluid's elasticity property and extensional viscosity.
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Pallapatisaidulu and Rajeev Kumar. "Radiation Absorption on Non- Newtonian Fluid over A Vertical Plate with Radiation Heat Flux." Journal of Biomedical and Pharmaceutical Research 12, no. 4 (September 6, 2023): 36–41. http://dx.doi.org/10.32553/jbpr.v12i4.1017.
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The study of radiation absorption in non-Newtonian fluids flowing over a vertical plate subjected to radiation heat flux is a complex yet critical area of research that finds wide applications in engineering, physics, and environmental sciences. In this investigation, we explore the intricate interplay between radiation heat transfer, the unique rheological properties of non-Newtonian fluids, and the resulting fluid dynamics and heat transfer phenomena. Non-Newtonian fluids, characterized by their nonlinear relationship between shear stress and shear rate, exhibit behavior that deviates from traditional Newtonian fluids. This departure introduces complexity into the heat transfer process when subjected to radiation heat flux. The vertical plate, a common boundary encountered in practical engineering scenarios, serves as a platform for examining these interactions. Research in this field employs a multidisciplinary approach, encompassing experimental investigations, mathematical modeling, and computational simulations. These methodologies are instrumental in unraveling the complexities of radiation absorption in non-Newtonian fluids over vertical plates and provide a foundation for advancements in various engineering and scientific domains.
Keywords: Radiation, Absorption, Transfer, Modeling, non-Newtonian
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El-Khatib, Noaman A. F. "Immiscible Displacement of Non-Newtonian Fluids in Communicating Stratified Reservoirs." SPE Reservoir Evaluation & Engineering 9, no. 04 (August 1, 2006): 356–65. http://dx.doi.org/10.2118/93394-pa.
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Summary The displacement of non-Newtonian power-law fluids in communicating stratified reservoirs with a log-normal permeability distribution is studied. Equations are derived for fractional oil recovery, water cut, injectivity ratio, and pseudorelative permeability functions, and the performance is compared with that for Newtonian fluids. Constant-injection-rate and constant-total-pressure-drop cases are studied. The effects of the following factors on performance are investigated: the flow-behavior indices, the apparent mobility ratio, the Dykstra-Parsons variation coefficient, and the flow rate. It was found that fractional oil recovery increases for nw > no and decreases for nw < no, as compared with Newtonian fluids. For the same ratio of nw /no, oil recovery increases as the apparent mobility ratio decreases. The effect of reservoir heterogeneity in decreasing oil recovery is more apparent for the case of nw > no . Increasing the total injection rate increases the recovery for nw > no, and the opposite is true for nw < no . It also was found that the fractional oil recovery for the displacement at constant total pressure drop is lower than that for the displacement at constant injection rate, with the effect being more significant when nw < no. Introduction Many of the fluids injected into the reservoir in enhanced-oil-recovery (EOR)/improved-oil-recovery (IOR) processes such as polymer, surfactant, and alkaline solutions may be non-Newtonian; in addition, some heavy oils exhibit non-Newtonian behavior. Flow of non-Newtonian fluids in porous media has been studied mainly for single-phase flow. Savins (1969) presented a comprehensive review of the rheological behavior of non-Newtonian fluids and their flow behavior through porous media. van Poollen and Jargon (1969) presented a finite-difference solution for transient-pressure behavior, while Odeh and Yang (1979) derived an approximate closed-form analytical solution of the problem. Chakrabarty et al. (1993) presented Laplace-space solutions for transient pressure in fractal reservoirs. For multiphase flow of non-Newtonian fluids in porous media, the problem was considered only for single-layer cases. Salman et al. (1990) presented the modifications for the Buckley-Leverett frontal-advance method and for the JBN relative permeability method for non-Newtonian power-law fluid displacing a Newtonian fluid. Wu et al. (1992) studied the displacement of a Bingham non-Newtonian fluid (oil) by a Newtonian fluid (water). Wu and Pruess (1998) introduced a numerical finite-difference solution for displacement of non-Newtonian fluids in linear systems and in a five-spot pattern. Yi (2004) developed a Buckley-Leverett model for displacement by a Newtonian fluid of a fracturing fluid having a Herschel-Bulkley rheological behavior. An iterative procedure was used to obtain a solution of the model. The methods available in the literature to predict linear waterflooding performance in stratified reservoirs are grouped into two categories depending on the assumption of communication or no communication between the different layers. In the case of noncommunicating systems, no vertical crossflow is permitted between the adjacent layers. The Dykstra-Parsons (1950) method is the basis for performance prediction in noncommunicating stratified reservoirs.
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Skadsem, Hans Joakim, and Arild Saasen. "Concentric cylinder viscometer flows of Herschel-Bulkley fluids." Applied Rheology 29, no. 1 (January 1, 2019): 173–81. http://dx.doi.org/10.1515/arh-2019-0015.
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Abstract Drilling fluids and well cements are example non-Newtonian fluids that are used for geothermal and petroleum well construction. Measurement of the non-Newtonian fluid viscosities are normally performed using a concentric cylinder Couette geometry, where one of the cylinders rotates at a controlled speed or under a controlled torque. In this paper we address Couette flow of yield stress shear thinning fluids in concentric cylinder geometries.We focus on typical oilfield viscometers and discuss effects of yield stress and shear thinning on fluid yielding at low viscometer rotational speeds and errors caused by the Newtonian shear rate assumption. We relate these errors to possible implications for typical wellbore flows.
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Eichheimer, Philipp, Marcel Thielmann, Anton Popov, Gregor J. Golabek, Wakana Fujita, Maximilian O. Kottwitz, and Boris J. P. Kaus. "Pore-scale permeability prediction for Newtonian and non-Newtonian fluids." Solid Earth 10, no. 5 (October 23, 2019): 1717–31. http://dx.doi.org/10.5194/se-10-1717-2019.
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Abstract. The flow of fluids through porous media such as groundwater flow or magma migration is a key process in geological sciences. Flow is controlled by the permeability of the rock; thus, an accurate determination and prediction of its value is of crucial importance. For this reason, permeability has been measured across different scales. As laboratory measurements exhibit a range of limitations, the numerical prediction of permeability at conditions where laboratory experiments struggle has become an important method to complement laboratory approaches. At high resolutions, this prediction becomes computationally very expensive, which makes it crucial to develop methods that maximize accuracy. In recent years, the flow of non-Newtonian fluids through porous media has gained additional importance due to, e.g., the use of nanofluids for enhanced oil recovery. Numerical methods to predict fluid flow in these cases are therefore required. Here, we employ the open-source finite difference solver LaMEM (Lithosphere and Mantle Evolution Model) to numerically predict the permeability of porous media at low Reynolds numbers for both Newtonian and non-Newtonian fluids. We employ a stencil rescaling method to better describe the solid–fluid interface. The accuracy of the code is verified by comparing numerical solutions to analytical ones for a set of simplified model setups. Results show that stencil rescaling significantly increases the accuracy at no additional computational cost. Finally, we use our modeling framework to predict the permeability of a Fontainebleau sandstone and demonstrate numerical convergence. Results show very good agreement with experimental estimates as well as with previous studies. We also demonstrate the ability of the code to simulate the flow of power-law fluids through porous media. As in the Newtonian case, results show good agreement with analytical solutions.
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Achour, Lila, Mathieu Specklin, Miguel Asuaje, Smaine Kouidri, and Idir Belaidi. "Energy loss analysis of volute centrifugal pump handling non-Newtonian emulsions through entropy production theory." Mechanics & Industry 25 (2024): 13. http://dx.doi.org/10.1051/meca/2024009.
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Flow losses in centrifugal pumps handling non-Newtonian fluids are of great importance for design optimization, performance prediction, and energy savings. Traditional methods are very limited in determining energy losses due to the complex rheological behavior of such fluids. This study aims to investigate the hydraulic losses and performance degradation mechanism of centrifugal volute pumps handling non-Newtonian emulsions using the entropy production method, focusing on the influence of emulsion type on the loss mechanism. The influence of pump size on fluid’s non-Newtonian behavior and energy loss in a centrifugal pump is also investigated by comparing the entropy distribution in two geometrically similar pumps operating with different emulsions exhibiting shear-thinning behavior. The flow field and entropy production are predicted by computational fluid dynamics (CFD) based on the Reynolds-averaged Navier-Stokes (RANS) equations coupled with the k-epsilon turbulence model. The latter is used to acquire the dissipative entropic components of the flow. The results showed that for a non-Newtonian fluid, energy loss occurs primarily in the impeller, regardless of pump size and flow rate. In addition, the shear-thinning behavior of concentrated emulsions significantly affects hydraulic losses, especially in small-size pumps. Most importantly, small-size pumps generate relatively the highest entropy loss over the entire flow range and the entropy loss increases with the lower limit of the non-Newtonian plateau. This approach showed that the predominance of losses in centrifugal volute pumps operating with non-Newtonian fluids depends on the pump size. Thus, indicating that the hydrodynamic characteristics of two geometrically similar pumps do not scale when the liquid has non-Newtonian rheology.
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Zheng, Jiaxuan, Jialu Wang, and Yongjun Jian. "Micro Electro-Osmotic Thrusters of Power-Law Fluids for Space Propulsion." Micromachines 14, no. 5 (April 27, 2023): 949. http://dx.doi.org/10.3390/mi14050949.
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In this article, electro-osmotic thrusters (EOTs), which are full of non-Newtonian power-law fluids with a flow behavior index n of the effective viscosity, are theoretically investigated in a microchannel. Different values of the flow behavior index represent two kinds of non-Newtonian power-law fluids, pseudoplastic fluids (n < 1) and dilatant fluids (n > 1), which have not yet been considered to be used as propellants in micro-thrusters. Analytical solutions of the electric potential and flow velocity are obtained using the Debye–Hückel linearization assumption and the approximate scheme of hyperbolic sine function. Then, thruster performances of power-law fluids, including specific impulse, thrust, thruster efficiency, and thrust-to-power ratio, are explored in detail. Results show that these performance curves strongly depend on the flow behavior index and electrokinetic width. It is noted that the non-Newtonian pseudoplastic fluid is most suitable as a propeller solvent in micro electro-osmotic thrusters owing to its improving or optimizing deficiencies in the performances of the existing Newtonian fluid thrusters.
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Zhuo, Jingxuan, Ricardo Cortez, and Robert Dillon. "Lagrangian Mesh Model with Regridding for Planar Poiseuille Flow." Communications in Computational Physics 22, no. 1 (May 3, 2017): 112–32. http://dx.doi.org/10.4208/cicp.oa-2016-0109.
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AbstractMany biological settings involve complex fluids that have non-Newtonian mechanical responses that arise from suspended microstructures. In contrast, Newtonian fluids are liquids or mixtures of a simple molecular structure that exhibit a linear relationship between the shear stress and the rate of deformation. In modeling complex fluids, the extra stress from the non-Newtonian contribution must be included in the governing equations.In this study we compare Lagrangian mesh and Oldroyd-B formulations of fluid-structure interaction in an immersed boundary framework. The start-up phase of planar Poiseuille flow between two parallel plates is used as a test case for the fluid models. For Newtonian and Oldroyd-B fluids there exist analytical solutions which are used in the comparison of simulation and theoretical results. The Lagrangian mesh results are compared with Oldroyd-B using comparable parameters. A regridding algorithm is introduced for the Lagrangian mesh model. We show that the Lagrangian mesh model simulations with regridding produce results in close agreement with the Oldfoyd-B model.
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Ismayilov, Gafar, Fidan Ismayilova, and Gulnara Zeynalova. "DIAGNOSIS OF STEADY-STATE CHARACTERISTICS IN LAMINAR FLOW OF FLUIDS." Rudarsko-geološko-naftni zbornik 39, no. 3 (2024): 53–58. http://dx.doi.org/10.17794/rgn.2024.3.5.
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Laminar flow of fluids is one of the most common forms of motion in oilfield practice. In such a flow regime of fluid, the determination of velocity-flow rate performance which takes into account the rheological properties of the fluid is of great importance for the development of hydraulic criteria. On the other hand, from the moment of the beginning of fluid motion in the pipe, a certain time is required to ensure the steady flow of fluid, i.e. independence of its parameters on time. The issues of diagnosing steady-state characteristics in laminar flow of both Newtonian and non-Newtonian fluids are of particular relevance. In this paper, the velocity distribution along the cross-section of a pipe in laminar flow of Newtonian and non-Newtonian fluids is studied while taking into consideration rheological factors, and the change of flow rate is investigated. Determination of the time of transition to the steady-state flow regime and parameters affecting the variation of this time are shown.
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Onder, Ahmet, Rafet Yapici, and Omer Incebay. "An experimental performance comparison of Newtonian and non-Newtonian fluids on a centrifugal blood pump." Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 236, no. 3 (January 11, 2022): 399–405. http://dx.doi.org/10.1177/09544119211057626.
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The use of substitute fluid with similar rheological properties instead of blood is important due to ethical concerns and high blood volume consumption in pump performance test before clinical applications. The performance of a centrifugal blood pump with hydrodynamic journal bearing is experimentally tested using Newtonian 40% aqueous glycerin solution (GS) and non-Newtonian aqueous xanthan gum solution of 600 ppm (XGS) as working fluids. Experiments are performed at four different rotational speeds which are 2700, 3000, 3300, and 3600 rpm; experiments using GS reach between 8.5% and 37.2% higher head curve than experiments using the XGS for every rotational speed. It was observed that as the rotational speed and flow rate increase, the head curve difference between GS and XGS decreases. This result can be attributed to the friction reduction effect when using XGS in experiments at high rotation speed and high flow rate. Moreover, due to different fluid viscosities, differences in hydraulic efficiency were observed for both fluids. This study reveals that the use of Newtonian fluids as working fluids is not sufficient to determine the actual performance of a blood pump, and the performance effects of non-Newtonian fluids are remarkably important in pump performance optimizations.
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Jegatheeswaran, Sinthuran, Farhad Ein-Mozaffari, and Jiangning Wu. "Laminar mixing of non-Newtonian fluids in static mixers: process intensification perspective." Reviews in Chemical Engineering 36, no. 3 (April 28, 2020): 423–36. http://dx.doi.org/10.1515/revce-2017-0104.
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AbstractStatic mixers are widely used in various industrial applications to intensify the laminar mixing of non-Newtonian fluids. Non-Newtonian fluids can be categorized into (1) time-independent, (2) time-dependent, and (3) viscoelastic fluids. Computational fluid dynamics studies on the laminar mixing of viscoelastic fluids are very limited due to the complexity in incorporating the multiple relaxation times and the associated stress tensor into the constitutive equations. This review paper provides recommendations for future research studies while summarizing the key research contributions in the field of non-Newtonian fluid mixing using static mixers. This review discusses the different experimental techniques employed such as electrical resistance tomography, magnetic resonance imaging, planar laser-induced fluorescence, and positron emission particle tracking. A comprehensive overview of the mixing fundamentals, fluid chaos, numerical characterization of fluid stretching, development of pressure drop correlations, and derivations of generalized Reynolds number is also provided in this review paper.
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Fetecau, Constantin, Dumitru Vieru, and Ahmed Zeeshan. "Analytical Solutions for Two Mixed Initial-Boundary Value Problems Corresponding to Unsteady Motions of Maxwell Fluids through a Porous Plate Channel." Mathematical Problems in Engineering 2021 (April 24, 2021): 1–13. http://dx.doi.org/10.1155/2021/5539007.
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Two unsteady motions of incompressible Maxwell fluids between infinite horizontal parallel plates embedded in a porous medium are analytically studied to get exact solutions using the finite Fourier cosine transform. The motion is induced by the lower plate that applies time-dependent shear stresses to the fluid. The solutions that have been obtained satisfy all imposed initial and boundary conditions. They can be easily reduced as limiting cases to known solutions for the incompressible Newtonian fluids. For a check of their correctness, the steady-state solutions are presented in different forms whose equivalence is graphically proved. The effects of physical parameters on the fluid motion are graphically emphasized and discussed. Required time to reach the steady-state is also determined. It is found that the steady-state is rather obtained for Newtonian fluids as compared with Maxwell fluids. Furthermore, the effect of the side walls on the fluid motion is more effective in the case of Newtonian fluids.
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Ewoldt, Randy H., and Chaimongkol Saengow. "Designing Complex Fluids." Annual Review of Fluid Mechanics 54, no. 1 (January 5, 2022): 413–41. http://dx.doi.org/10.1146/annurev-fluid-031821-104935.
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Taking a small step away from Newtonian fluid behavior creates an explosion in the range of possibilities. Non-Newtonian fluid properties can achieve diverse flow objectives, but the complexity introduces challenges. We survey useful rheological complexity along with organizing principles and design methods as we consider the following questions: How can non-Newtonian properties be useful? What properties are needed? How can we get those properties?
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Kozubková, Milada, Jana Jablonská, Marian Bojko, František Pochylý, and Simona Fialová. "Research of Flow Stability of Non-Newtonian Magnetorheological Fluid Flow in the Gap between Two Cylinders." Processes 9, no. 10 (October 15, 2021): 1832. http://dx.doi.org/10.3390/pr9101832.
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This paper deals with a mathematical modeling of flow stability of Newtonian and non-Newtonian fluids in the gap between two concentric cylinders, one of which rotates. A typical feature of the flow is the formation of a vortex flow, so-called Taylor vortices. Vortex structures are affected by the speed of the rotating cylinder and the physical properties of the fluids, i.e., viscosity and density. Analogy in terms of viscosity is assumed for non-Newtonian and magnetorheological fluids. Mathematical models of laminar, transient and turbulent flow with constant viscosity and viscosity as a function of the deformation gradient were formulated and numerically solved to analyze the stability of single-phase flow. To verify them, a physical experiment was performed for Newtonian fluids using visualizations of vortex structures—Taylor vortices. Based on the agreement of selected numerical and physical results, the experience was used for numerical simulations of non-Newtonian magnetorheological fluid flow.
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Rogovyi, Andrii, and Artem Neskorozhenyi. "Flow fields of a non-Newtonian fluid in vortex chamber pumps." Bulletin of Kharkov National Automobile and Highway University 1, no. 92 (March 4, 2021): 125. http://dx.doi.org/10.30977/bul.2219-5548.2021.92.1.125.
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Problem. Pumping different fluids by hydraulic transport is associated with fast wear of the pump contact surfaces. The fluids being pumped are often non-Newtonian. The use of jet pumps for pumping is impractical due to low efficiency. Vortex chamber pumps may have higher efficiency when pumping non-Newtonian fluids, however, their operation on such fluids has not yet been studied. The aim of this work is to study the characteristics of the flow fields of a non-Newtonian fluid using the example of a Bingham fluid in the vortex chamber pump. Methodology. Predicting pump energy performance and determining flow fields for highly viscous fluids using CFD simulations enables advanced jet pumps to handle non-Newtonian fluids. Results. Modeling was carried out based on the numerical solution of the RANS equations with the SST turbulence model. To ensure the operability of the vortex chamber pump when pumping non-Newtonian fluid, with known rheological parameters of the mixture, it is necessary to select the required supply pressure for the active flow, and also to consider the issue of diluting the liquid with water to reduce the mixture viscosity and achieve the specified values of the pumping energy parameters. Originality. The hypothesis that the vortex chamber supercharger can operate on a hypothetical ideal fluid has been confirmed. In this case, the performance indicators of such a supercharger improve and tend to ideal. With an increase in plastic viscosity, the volumetric flow rate of the pumped fluid decreases, and at high values of the viscosity, an active flow is ejected through the axial channels. Practical value. Researchers can use the theoretical results of this work to design new devices for pumping other Bingham fluids, such as oil paint, resins, varnishes, swamp soils, and many others.
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Singh, U. P., Amit Medhavi, R. S. Gupta, and Siddharth Shankar Bhatt. "Analysis of Peristaltic Transport of Non-Newtonian Fluids Through Nonuniform Tubes: Rabinowitsch Fluid Model." Zeitschrift für Naturforschung A 72, no. 7 (July 26, 2017): 601–8. http://dx.doi.org/10.1515/zna-2017-0033.
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AbstractPeristaltic transport is an important mechanism of physiological phenomenon and peristaltic pumps. With the advancement of medical science, it has been established that the physiological fluids do not behave like Newtonian fluids. Therefore, in order to understand the behaviour and properties of physiological fluids during peristalsis, selection of appropriate fluid model is of great importance. In the present investigation, properties of peristaltic transport through nonuniform tube have been studied for non-Newtonian fluids using Rabinowitsch fluid model. Theoretical analysis has been presented for long wavelength and low Reynolds number approximation. To analyse various properties of the flow, analytical expressions for velocity, pressure gradient, pressure rise, friction force, and temperature have been obtained. The numerical results for the same have been obtained to present the effect of various physical and flow parameters on fluid velocity, pressure rise, friction force, and temperature. Significant variation of these properties has been observed in the analysis for non-Newtonian nature of the fluid and nonuniformity of the tube.
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Maritz, Riëtte, and Emile Franc Doungmo Goufo. "Newtonian and Non-Newtonian Fluids through Permeable Boundaries." Mathematical Problems in Engineering 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/146521.
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We considered the situation where a container with a permeable boundary is immersed in a larger body of fluid of the same kind. In this paper, we found mathematical expressions at the permeable interfaceΓof a domainΩ, whereΩ⊂R3.Γis defined as a smooth two-dimensional (at least classC2) manifold inΩ. The Sennet-Frenet formulas for curves without torsion were employed to find the expressions on the interfaceΓ. We modelled the flow of Newtonian as well as non-Newtonian fluids through permeable boundaries which results in nonhomogeneous dynamic and kinematic boundary conditions. The flow is assumed to flow through the boundary only in the direction of the outer normaln, where the tangential components are assumed to be zero. These conditions take into account certain assumptions made on the curvature of the boundary regarding the surface density and the shape ofΩ; namely, that the curvature is constrained in a certain way. Stability of the rest state and uniqueness are proved for a special case where a “shear flow” is assumed.
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Méndez-Mora, Lourdes, Maria Cabello-Fusarés, Josep Ferré-Torres, Carla Riera-Llobet, Samantha Lopez, Claudia Trejo-Soto, Tomas Alarcón, and Aurora Hernandez-Machado. "Microrheometer for Biofluidic Analysis: Electronic Detection of the Fluid-Front Advancement." Micromachines 12, no. 6 (June 20, 2021): 726. http://dx.doi.org/10.3390/mi12060726.
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The motivation for this study was to develop a microdevice for the precise rheological characterization of biofluids, especially blood. The method presented was based on the principles of rheometry and fluid mechanics at the microscale. Traditional rheometers require a considerable amount of space, are expensive, and require a large volume of sample. A mathematical model was developed that, combined with a proper experimental model, allowed us to characterize the viscosity of Newtonian and non-Newtonian fluids at different shear rates. The technology presented here is the basis of a point-of-care device capable of describing the nonlinear rheology of biofluids by the fluid/air interface front velocity characterization through a microchannel. The proposed microrheometer uses a small amount of sample to deliver fast and accurate results, without needing a large laboratory space. Blood samples from healthy donors at distinct hematocrit percentages were the non-Newtonian fluid selected for the study. Water and plasma were employed as testing Newtonian fluids for validation of the system. The viscosity results obtained for the Newtonian and non-Newtonian fluids were consistent with pertinent studies cited in this paper. In addition, the results achieved using the proposed method allowed distinguishing between blood samples with different characteristics.
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Chen, Dilin, Jie Li, Haiwen Chen, Lai Zhang, Hongna Zhang, and Yu Ma. "Electroosmotic Flow Behavior of Viscoelastic LPTT Fluid in a Microchannel." Micromachines 10, no. 12 (December 15, 2019): 881. http://dx.doi.org/10.3390/mi10120881.
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In many research works, the fluid medium in electroosmosis is considered to be a Newtonian fluid, while the polymer solutions and biological fluids used in biomedical fields mostly belong to the non-Newtonian category. Based on the finite volume method (FVM), the electroosmotic flow (EOF) of viscoelastic fluids in near-neutral (pH = 7.5) solution considering four ions (K+, Cl−, H+, OH−) is numerically studied, as well as the viscoelastic fluids’ flow characteristics in a microchannel described by the Linear Phan-Thien–Tanner (LPTT) constitutive model under different conditions, including the electrical double layer (EDL) thickness, the Weissenberg number (Wi), the viscosity ratio and the polymer extensibility parameters. When the EDL does not overlap, the velocity profiles for both Newtonian and viscoelastic fluids are plug-like and increase sharply near the charged wall. Compared with Newtonian fluid at Wi = 3, the viscoelastic fluid velocity increases by 5 times and 9 times, respectively, under the EDL conditions of kH = 15 and kH = 250, indicating the shear thinning behavior of LPTT fluid. Shear stress obviously depends on the viscosity ratio and different Wi number conditions. The EOF is also enhanced by the increase (decrease) in polymer extensibility parameters (viscosity ratio). When the extensibility parameters are large, the contribution to velocity is gradually weakened.
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Zhu, Bo, Minjae Lee, Ed Quigley, and Ronald Fedkiw. "Codimensional non-Newtonian fluids." ACM Transactions on Graphics 34, no. 4 (July 27, 2015): 1–9. http://dx.doi.org/10.1145/2766981.
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Málek, J., and K. R. Rajagopal. "Compressible generalized Newtonian fluids." Zeitschrift für angewandte Mathematik und Physik 61, no. 6 (March 2, 2010): 1097–110. http://dx.doi.org/10.1007/s00033-010-0061-8.
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Lenci, Alessandro, and Luca Chiapponi. "An Experimental Setup to Investigate Non-Newtonian Fluid Flow in Variable Aperture Channels." Water 12, no. 5 (May 1, 2020): 1284. http://dx.doi.org/10.3390/w12051284.
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Non-Newtonian fluid flow in porous and fractured media is of considerable technical and environmental interest. Here, the flow of a non-Newtonian fluid in a variable aperture fracture is studied theoretically, experimentally and numerically. We consider a shear-thinning power-law fluid with flow behavior index n. The natural logarithm of the fracture aperture is a two-dimensional, spatially homogeneous and correlated Gaussian random field. An experimental device has been conceived and realized to allow the validation of the theory, and several tests are conducted with Newtonian and shear-thinning fluids and different combinations of parameters to validate the model. For Newtonian fluids, experimental results match quite well the theoretical predictions, mostly with a slight overestimation. For non-Newtonian fluids, the discrepancy between experiments and theory is larger, with an underestimation of the experimental flow rate. We bear in mind the high shear-rates involved in the experiments, covering a large range where simple models seldom are effective in reproducing the process, and possible interferences like slip at the wall. For all test conditions, the comparison between analytical and numerical model is fairly good.
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Dzierka, M., and P. Jurczak. "Review Of Applied Mathematical Models For Describing The Behaviour Of Aqueous Humor In Eye Structures." International Journal of Applied Mechanics and Engineering 20, no. 4 (December 1, 2015): 757–72. http://dx.doi.org/10.1515/ijame-2015-0049.
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Abstract In the paper, currently used methods for modeling the flow of the aqueous humor through eye structures are presented. Then a computational model based on rheological models of Newtonian and non-Newtonian fluids is proposed. The proposed model may be used for modeling the flow of the aqueous humor through the trabecular meshwork. The trabecular meshwork is modeled as an array of rectilinear parallel capillary tubes. The flow of Newtonian and non-Newtonian fluids is considered. As a results of discussion mathematical equations of permeability of porous media and velocity of fluid flow through porous media have been received.
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Korobeinikov, A. "Numerical simulation of the oscillations of non-newtonian viscous fluids with a free surface." Journal of Applied Mathematics and Decision Sciences 4, no. 2 (January 1, 2000): 111–23. http://dx.doi.org/10.1155/s1173912600000080.
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Non-Newtonian fluids are increasingly being transported by a variety of vehicles. It has been observed that vehicles containing such fluids demonstrate behaviour which could be explained only by non-linearity characteristics of such fluids. In this paper small oscillations of non-Newtonian fluids in tanks are considered. A numerical method suitable for both Newtonian and non-Newtonian fluids is suggested. Examples of numerical simulations with emphasis on Bingham fluids are given to demonstrate effects of non-linear properties.
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Jamil, Muhammad. "First Problem of Stokes for Generalized Burgers' Fluids." ISRN Mathematical Physics 2012 (March 4, 2012): 1–17. http://dx.doi.org/10.5402/2012/831063.
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The velocity field and the adequate shear stress corresponding to the first problem of Stokes for generalized Burgers’ fluids are determined in simple forms by means of integral transforms. The solutions that have been obtained, presented as a sum of steady and transient solutions, satisfy all imposed initial and boundary conditions. They can be easily reduced to the similar solutions for Burgers, Oldroyd-B, Maxwell, and second-grade and Newtonian fluids. Furthermore, as a check of our calculi, for small values of the corresponding material parameters, their diagrams are almost identical to those corresponding to the known solutions for Newtonian and Oldroyd-B fluids. Finally, the influence of the rheological parameters on the fluid motions, as well as a comparison between models, is graphically illustrated. The non-Newtonian effects disappear in time, and the required time to reach steady-state is the lowest for Newtonian fluids.
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Kwon, Joo-Yong, Taehoon Kim, Jungwoo Kim, and Younghak Cho. "Particle Focusing under Newtonian and Viscoelastic Flow in a Straight Rhombic Microchannel." Micromachines 11, no. 11 (November 11, 2020): 998. http://dx.doi.org/10.3390/mi11110998.
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Particle behavior in viscoelastic fluids has attracted considerable attention in recent years. In viscoelastic fluids, as opposed to Newtonian fluids, particle focusing can be simply realized in a microchannel without any external forces or complex structures. In this study, a polydimethylsiloxane (PDMS) microchannel with a rhombic cross-sectional shape was fabricated to experimentally investigate the behavior of inertial and elasto-inertial particles. Particle migration and behavior in Newtonian and non-Newtonian fluids were compared with respect to the flow rate and particle size to investigate their effect on the particle focusing position and focusing width. The PDMS rhombic microchannel was fabricated using basic microelectromechanical systems (MEMS) processes. The experimental results showed that single-line particle focusing was formed along the centerline of the microchannel in the non-Newtonian fluid, unlike the double-line particle focusing in the Newtonian fluid over a wide range of flow rates. Numerical simulation using the same flow conditions as in the experiments revealed that the particles suspended in the channel tend to drift toward the center of the channel owing to the negative net force throughout the cross-sectional area. This supports the experimental observation that the viscoelastic fluid in the rhombic microchannel significantly influences particle migration toward the channel center without any external force owing to coupling between the inertia and elasticity.
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Khokhar, R. B., Y. K. Chen, Y. Xu, and R. K. Calay. "Numerical Simulation of Combined Mixing and Separating Flow in Cannel Filled with Porous Media." Advanced Materials Research 694-697 (May 2013): 639–47. http://dx.doi.org/10.4028/www.scientific.net/amr.694-697.639.
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Various flow bifurcations are investigated for two dimensional combined mixing and separating geometry. These consist of two reversed channel flows interacting through a gap in the common separating wall filled with porous media of Newtonian fluids and other with unidirectional fluid flows. The Steady solutions are obtained through an unsteady finite element approach that employs a Taylor-Galerkin/pressure-correction scheme. The influence of increasing inertia on flow rates are all studied. Close agreement is attained with numerical data in the porous channels for Newtonian fluids. Keywords: mixing-separating geometry, flow bifurcation, porous media, finite element method, Newtonian fluid.
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Lin, J. R., L. M. Chu, H. L. Chiang, and Y. K. Chiu. "Derivation of Non-Newtonian Magnetic Fluid Lubricated Rough Centrosymmetric Squeeze Film Reynolds Equation and its Application." Journal of Mechanics 35, no. 1 (August 24, 2017): 113–19. http://dx.doi.org/10.1017/jmech.2017.74.
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AbstractBased upon the Shliomis ferromagnetic fluid model and the Stokes microcontinuum theory incorporating with the Christensen stochastic model, a modified Reynolds equation of centrosymmetric squeeze films has been derived in this paper. The Reynolds equation includes the combined effects of non-Newtonian rheology, magnetic fluids with applied magnetic fields, rotational inertia forces, and surface roughness. To guide the use of the derived equation, the squeeze film of rotational rough-surface circular disks lubricated with non-Newtonian magnetic fluids is illustrated. According to the results obtained, the effects of rotation inertia decrease the load capacity and the squeeze film time of smooth circular disks. By the use of non-Newtonian magnetic fluids with applied magnetic fields, the rotational circular disks predict better squeeze film performances. When the influences of circumferential roughness patterns are considered, the non-Newtonian magnetic-fluid lubricated rotational rough disks with applied magnetic fields provide further higher values of the load capacity and the squeeze film time as compared to those of the smooth case.
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Podder, Satyabrata, Paulam Deep Paul, and Arunabha Chanda. "Magnetohydrodynamics (MHD) Induced Slip Flow of a Non-Newtonian Fluid through Circular Microchannels." Trends in Sciences 19, no. 19 (October 3, 2022): 6180. http://dx.doi.org/10.48048/tis.2022.6180.
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The present numerical analysis reveals the nature of non-Newtonian fluid flow through circular microchannels under slip boundary conditions. The power law has been used for the simulation of the fluid flow, which considers a steady, laminar, incompressible non-Newtonian fluid acted upon by a constant, externally applied magnetic field. The flow is axisymmetric and slip boundary conditions are applied in the near wall. A constant magnetic flux has been applied on the wall boundary to analyze the effect of magnetic field on Xanthan solution in formic acid, a type of non-Newtonian fluid having electrical conductivity. Using control volume method of finite difference scheme, a set of dimensionless governing differential equations defining the behavior of the fluid flow in the microchannel under an externally applied magnetic field, has been solved using slip boundary conditions to understand the effect of magnetic field on slip induced flow of non-Newtonian fluids. The results have depicted that the magnetic field affects both the centerline velocity and slip velocity but it is more prominent for the centerline velocities. The main objective of this research is to study the flow of non-Newtonian fluid, Xanthan through a circular microchannel and its corresponding behavior when flow boundary conditions are applied to interpret the characteristics under an externally applied magnetic field. The results obtained from this present study will find its application in the area of the flow of ferrofluids and biofluids.
HIGHLIGHTS
Most of the bio fluids and ferrofluids are non-Newtonian in nature and it is required to control these fluids when they pass through microchannels of modern devices
Analysis conducted to find out the flow behaviour of non-Newtonian fluids through circular microchannels when they are exposed to externally applied magnetic fields
Slip flow occurs in the fluid flow and an externally applied magnetic field controls the flow patterns by affecting slip velocity and centerline velocity which introduces extra flow in the microchannel. The results are helpful for better understanding of the flow of ferrofluids and bio fluids through circular microchannels
GRAPHICAL ABSTRACT
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Kwon, Kyung C., YoonKook Park, Tamara Floyd, Nader Vahdat, Erica Jackson, and Paul Jones. "Rheological Characterization of Shear-Thinning Fluids with a Novel Viscosity Equation of a Tank-Tube Viscometer." Applied Rheology 17, no. 5 (October 1, 2007): 51413–1. http://dx.doi.org/10.1515/arh-2007-0016.
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Abstract A tank-tube viscometer and its novel viscosity equation were developed to determine flow characteristics of non-Newtonian fluids. The objective of this research is to test capabilities of the tank-tube viscometer and its novel non-Newtonian viscosity equation by characterizing rheological behaviors of well-known polyethylene oxide (MW 8000000) aqueous solutions as non-Newtonian fluids with 60-w% sucrose aqueous solution as a reference calibration fluid. Non-Newtonian characteristics of 0.3 - 0.7 wt% polyethylene oxide aqueous solutions were extensively investigated with the tank-tube viscometer and its non-Newtonian viscosity equation over the 294 - 306 K temperature range, and 55 - 784 s-1 shear rate range. The 60-w% sucrose aqueous solution was used as a reference/calibration fluid for the tank-tube viscometer. Dynamic viscosity values of 60 w% sucrose aqueous solution were determined with the calibrated tank-tube viscometer and its Newtonian viscosity equation at 299.15 K, and compared with the literature values.
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Escobar, Freddy-Humberto, Laura-Jimena Vega, and Luis-Fernando Bonilla. "Determination of well-drainage area for power-law fluids by transient pressure analysis." CT&F - Ciencia, Tecnología y Futuro 5, no. 1 (November 30, 2012): 45–56. http://dx.doi.org/10.29047/01225383.214.
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Since conventional oil is almost depleted, oil companies are focusing their efforts on exploiting heavy oil reserves. A modern and practical technique using the pressure and pressure derivative, log-log plot for estimating the well-drainage area in closed and constant-pressure reservoirs, drained by a vertical well is presented by considering a non-Newtonian flow model for describing the fluid behavior. Several synthetic examples were presented for demonstration and verification purposes.Such fluids as heavy oil, fracturing fluids, some fluids used for Enhanced Oil Recovery (EOR) and drilling muds can behave as either Power-law or Bingham, usually referred to as the non-Newtonian fluids. Currently, there is no way to estimate the well-drainage area from conventional well test analysis when a non-Newtonian fluid is dealt with; therefore, none of the commercial well test interpretation package can estimate this parameter (drainage area).
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Yadav, Pramod Kumar, and Sneha Jaiswal. "Influence of an inclined magnetic field on the Poiseuille flow of immiscible micropolar–Newtonian fluids in a porous medium." Canadian Journal of Physics 96, no. 9 (September 2018): 1016–28. http://dx.doi.org/10.1139/cjp-2017-0998.
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The present problem is concerned with two-phase fluid flow through a horizontal porous channel in the presence of uniform inclined magnetic field. The micropolar fluid or Eringen fluid and Newtonian viscous fluid are flowing in the upper and lower regions of the horizontal porous channel, respectively. In this paper, the permeability of each region of the horizontal porous channel has been taken to be different. The effects of various physical parameters like angles of inclination of magnetic field, viscosity ratio, micropolarity parameter, etc., on the velocities, micro-rotational velocity of two immiscible fluids in horizontal porous channel, wall-shear stress, and flow rate have been discussed. The result obtained for immiscible micropolar–Newtonian fluids are compared with the results of two immiscible Newtonian fluids. The obtained result may be used in production of oil from oil reservoirs, purification of contaminated ground water, etc.
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OZTEKIN, A., B. R. SEYMOUR, and E. VARLEY. "Self-similar flows of multi-phase immiscible fluids." European Journal of Applied Mathematics 11, no. 6 (December 2000): 529–59. http://dx.doi.org/10.1017/s0956792500004289.
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Exact analytical representations are obtained describing self-similar unsteady flows of multi-phase immiscible fluids in the vicinity of non-circular, but constant strength, fronts. It is assumed that Darcy's law holds for each phase and that the mobilities are known functions of the saturations. Equivalent representations are obtained for Hele-Shaw cell flows that are produced when a viscous fluid is injected into a region containing some other viscous fluid. The fluids may be Newtonian fluids or non-Newtonian fluids for which the coefficients of viscosity depend on the shear stress. Even though the flows are unsteady and two dimensional, the representations are obtained by using hodograph techniques.