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Journal articles on the topic 'Bingham fluids'

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Published: 4 June 2021
Last updated: 8 June 2024

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1

Frigaard, I. A., S. D. Howison, and I. J. Sobey. "On the stability of Poiseuille flow of a Bingham fluid." Journal of Fluid Mechanics 263 (March 25, 1994): 133–50. http://dx.doi.org/10.1017/s0022112094004052.

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The stability to linearized two-dimensional disturbances of plane Poiseuille flow of a Bingham fluid is considered. Bingham fluids exhibit a yield stress in addition to a plastic viscosity and this description is typically applied to drilling muds. A non-zero yield stress results in an additional parameter, a Bingham number, and it is found that the minimum Reynolds number for linear instability increases almost linearly with increasing Bingham number.
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2

Shelukhin, V. V., and M. Ružička. "On Cosserat-Bingham fluids." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 93, no. 1 (September 24, 2012): 57–72. http://dx.doi.org/10.1002/zamm.201200037.

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3

Yigit, Sahin, and Nilanjan Chakraborty. "Influences of aspect ratio and wall boundary condition on laminar Rayleigh–Bénard convection of Bingham fluids in rectangular enclosures." International Journal of Numerical Methods for Heat & Fluid Flow 27, no. 2 (February 6, 2017): 310–33. http://dx.doi.org/10.1108/hff-09-2015-0366.

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Purpose This paper aims to investigate the aspect ratio (AR; ratio of enclosure height:length) dependence of steady-state Rayleigh–Bénard convection of Bingham fluids within rectangular enclosures for both constant wall temperature and constant wall heat flux boundary conditions. A nominal Rayleigh number range 103 ≤ Ra ≤ 105 (Ra defined based on the height) for a single representative value of nominal Prandtl number (i.e. Pr = 500) has been considered for 1/4 ≤ AR ≤ 4. Design/methodology/approach The bi-viscosity Bingham model is used to mimic Bingham fluids for Rayleigh–Bénard convection of Bingham fluids in rectangular enclosures. The conservation equations of mass, momentum and energy have been solved in a coupled manner using the finite volume method where a second-order central differencing scheme is used for the diffusive terms and a second-order up-wind scheme is used for the convective terms. The well-known semi-implicit method for pressure-linked equations algorithm is used for the coupling of the pressure and velocity. Findings It has been found that buoyancy-driven flow strengthens with increasing nominal Rayleigh number Ra, but the convective transport weakens with increasing Bingham number Bn, because of additional flow resistance arising from yield stress in Bingham fluids. The relative contribution of thermal conduction (advection) to the total thermal transport strengthens (diminishes) with increasing AR for a given set of values of Ra and Pr for both Newtonian and Bingham fluids for both boundary conditions, and the thermal transport takes place purely because of conduction for tall enclosures. Originality/value Correlations for the mean Nusselt number Nu ¯ have been proposed for both boundary conditions for both Newtonian and Bingham fluids using scaling arguments, and the correlations have been demonstrated to predict Nu ¯ obtained from simulation data for 1/4 ≤ AR ≤ 4, 103 ≤ Ra ≤ 105 and Pr = 500.
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4

Shelukhin, V. V., and V. V. Neverov. "Thermodynamics of micropolar Bingham fluids." Journal of Non-Newtonian Fluid Mechanics 236 (October 2016): 83–90. http://dx.doi.org/10.1016/j.jnnfm.2016.08.005.

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5

Shelukhin, V. V., and V. V. Neverov. "Thermodynamics of micropolar Bingham fluids." Journal of Non-Newtonian Fluid Mechanics 238 (December 2016): 16–23. http://dx.doi.org/10.1016/j.jnnfm.2016.11.006.

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6

Liu, Tong, Shiming Zhang, and Moran Wang. "Does Rheology of Bingham Fluid Influence Upscaling of Flow through Tight Porous Media?" Energies 14, no. 3 (January 28, 2021): 680. http://dx.doi.org/10.3390/en14030680.

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Non-Newtonian fluids may cause nonlinear seepage even for a single-phase flow. Through digital rock technologies, the upscaling of this non-Darcy flow can be studied; however, the requirements for scanning resolution and sample size need to be clarified very carefully. This work focuses on Bingham fluid flow in tight porous media by a pore-scale simulation on CT-scanned microstructures of tight sandstones. A bi-viscous model is used to depict the Bingham fluid. The results show that when the Bingham fluid flows through a rock sample, the flowrate increases at a parabolic rate when the pressure gradient is small and then increases linearly with the pressure gradient. As a result, an effective permeability and a start-up pressure gradient can be used to characterize this flow behavior. By conducting flow simulations at varying sample sizes, we obtain the representative element volume (REV) for effective permeability and start-up pressure gradient. It is found that the REV size for the effective permeability is almost the same as that for the absolute permeability of Newtonian fluid. The interesting result is that the REV size for the start-up pressure gradient is much smaller than that for the effective permeability. The results imply that the sample size, which is large enough to reach the REV size for Newtonian fluids, can be used to investigate the Bingham fluids flow through porous media as well.
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7

Lv, Yiyan, Wei Zhu, and Tingting Han. "Mechanism Underlying Bonding Water Film Effect on Rheological Parameters." Advances in Materials Science and Engineering 2016 (2016): 1–8. http://dx.doi.org/10.1155/2016/8451391.

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From experiments on bonding water of different slurries and the analysis of flow curves, the bilinear fluid model has been improved. The results showed that the rheological parameters correspond to physical processes at different stages of shear strain. As shear rate increases, slurries evolve from high-viscosity Bingham fluids to low-viscosity Bingham fluids. Specific surface area determines the number of edge-to-face arrangements; mineral composition influences the binding strength of each edge-to-face arrangement; and the volume fraction of particles regulates the distance between clay particles and number of edge-to-face arrangements.
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8

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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9

Cui, Jing Wen, Zhi Shang Liu, and Yu Chen Zhang. "Study on the Generalized Darcy's Law for Bingham and Herschel-Bulkley Fluids." Applied Mechanics and Materials 433-435 (October 2013): 1933–36. http://dx.doi.org/10.4028/www.scientific.net/amm.433-435.1933.

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Extra-heavy oil, polymer solution and some drilling fluids are typical non-Newtonian Herschel-Bulkley fluids, which behave as sheer-thinning with yield stress. In this paper, the Generalized Darcy's law for Herschel-Bulkley fluids flow in porous media was formulated, by the same way formulating the Generalized Darcy's Law for Bingham fluids. Then, the applications of the two type flow models were compared; Bingham type model was still widely applied due to its conciseness and relatively satisfied accuracy. In addition, the Generalized Darcys Law was revised to describe thixotropic non-Newtonian fluids conceptually.
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10

Jafargholinejad, Shapour, and Mohammad Najafi. "Inertia flows of Bingham fluids through a planar channel: Hydroelastic instability analysis." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 232, no. 13 (May 29, 2017): 2394–403. http://dx.doi.org/10.1177/0954406217711470.

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In this paper, the effect of inertial terms on hydroelastic stability of a pressure-driven flow of a viscoplastic fluid flowing through a channel lined with a highly compliant polymeric gel is investigated. It is assumed that the fluid obeys the Bingham constuitive equation and the polymeric gel follows a two-constant Mooney–Rivlin material, which is used for modeling a nonviscous hyperelastic polymeric coating. A base-state solution is obtained for the fluid motion and solid deformation, simultaneously. Next, some infinitesimally small two-dimensional disturbances are imposed on the base-state solution. Dropping out all nonlinear perturbation terms, the modal linear stability analysis of the channel flow is conducted. The effects of the Bingham number and material constants are then examined on the critical Reynolds number. It is found that the yield stress has a stabilizing effect while the Mooney–Rivlin parameters have destabilizing effects on the pressure-driven flow of Bingham fluids.
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11

Al Khatib, M. A. M., and S. D. R. Wilson. "Slow Dripping of Yield-Stress Fluids." Journal of Fluids Engineering 127, no. 4 (April 3, 2005): 687–90. http://dx.doi.org/10.1115/1.1949633.

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The dripping problem of a viscoplastic (yield-stress) liquid running slowly out of a narrow vertical tube is considered. The volume of the drops which break away is determined. A Lagrangian coordinate system is used to analyze the extension of the thread as it sags under its own weight, neglecting inertia and capillarity. The biviscosity model has been used to characterize viscoplastic fluids; the Newtonian and Bingham models can be recovered as limiting cases. The Bingham limit is of special interest.
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12

Mansfield, Charles F. "Modeling Newtonian Fluids and Bingham Plastics." Journal of Geological Education 33, no. 2 (March 1985): 97–100. http://dx.doi.org/10.5408/0022-1368-33.2.97.

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13

Bostan, Mihai, and Patrick Hild. "Starting flow analysis for Bingham fluids." Nonlinear Analysis: Theory, Methods & Applications 64, no. 5 (March 2006): 1119–39. http://dx.doi.org/10.1016/j.na.2005.05.058.

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14

Růžička, Michael, Vladimir Shelukhin, and Marcelo Martins dos Santos. "Steady flows of Cosserat-Bingham fluids." Mathematical Methods in the Applied Sciences 40, no. 7 (October 25, 2016): 2746–61. http://dx.doi.org/10.1002/mma.4195.

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15

Fellouah, H., C. Castelain, A. Ould El Moctar, and H. Peerhossaini. "A Numerical Study of Dean Instability in Non-Newtonian Fluids." Journal of Fluids Engineering 128, no. 1 (May 17, 2005): 34–41. http://dx.doi.org/10.1115/1.2136926.

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We present a numerical study of Dean instability for non-Newtonian fluids in a laminar 180deg curved-channel flow of rectangular cross section. A methodology based on the Papanastasiou model (Papanastasiou, T. C., 1987, J. Rheol., 31(5), pp. 385–404) was developed to take into account the Bingham-type rheological behavior. After validation of the numerical methodology, simulations were carried out (using FLUENT CFD code) for Newtonian and non-Newtonian fluids in curved channels of square or rectangular cross section and for a large aspect and curvature ratios. A criterion based on the axial velocity gradient was defined to detect the instability threshold. This criterion was used to optimize the grid geometry. The effects of curvature and aspect ratio on the Dean instability are studied for all fluids, Newtonian and non-Newtonian. In particular, we show that the critical value of the Dean number decreases with increasing curvature ratio. The variation of the critical Dean number with aspect ratio is less regular. The results are compared to those for Newtonian fluids to emphasize the effect of the power-law index and the Bingham number. The onset of Dean instability is delayed with increasing power-law index. The same delay is observed in Bingham fluids when the Bingham number is increased.
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16

Pei, Pei, Yongbo Peng, and Canxing Qiu. "Magnetorheological damper modeling based on a refined constitutive model for MR fluids." Journal of Intelligent Material Systems and Structures 33, no. 10 (October 26, 2021): 1271–91. http://dx.doi.org/10.1177/1045389x211048231.

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A systematic modeling study is conducted to predict the dynamic response of magnetorheological (MR) damper based on a refined constitutive model for MR fluids. A particle-level simulation method is first employed to probe the microstructured behavior and rheological properties of MR fluids, based on which the refined constitutive model is developed. The constitutive model is further validated by comparing the predicted results with the data obtained from microscopic simulations and existing experiments. It is revealed that the proposed constitutive model has comparable accuracy and good applicability in representing MR fluids. Subsequently, a computational fluid dynamics (CFD) model is established to explore MR damper’s behavior by using the proposed constitutive model to describe the fluid rheology. For better capturing the dynamic hysteretic behavior of MR damper, a modified parametric model is developed by combing the Bingham plastic model and the proposed constitutive model. The modified model for MR damper shows its validity and superiority over the existing Bingham plastic models.
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17

ALEXANDROU, ANDREAS N., and VLADIMIR ENTOV. "On the steady-state advancement of fingers and bubbles in a Hele–Shaw cell filled by a non-Newtonian fluid." European Journal of Applied Mathematics 8, no. 1 (February 1997): 73–87. http://dx.doi.org/10.1017/s0956792596002963.

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The problem of steady-state propagation of a finger or a bubble of inviscid fluid through a Hele–Shaw cell filled by a viscous non-Newtonian, including visco-plastic (Bingham) fluid is addressed. Only flows symmetric relative to the cell axis are considered. It is shown that, using a hodograph transform, this non-linear free boundary problem can be reduced to the solution of an elliptic system of linear partial differential equations in a fixed domain with part of the boundary being curvilinear. The resulting boundary-value problem is solved numerically using the Finite Element Method. Finger shapes are calculated, and the approach is verified for one-parameter family of solutions which correspond to the well-known Saffman–Taylor solutions for the case of a Hele–Shaw cell filled by a Newtonian fluid. Results are also shown for fingers with non-Newtonian fluids. In the case of a cell filled by visco-plastic (Bingham) fluid, it is shown that stagnant zones propagate with the finger, and that the rear part of the finger has constant width. The same approach is applied to finding a two-parametric family of solutions for steady propagating bubbles. Results are shown for bubbles in Hele–Shaw cell filled by power-law and Bingham fluids.
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18

Falsaperla, Paolo, Andrea Giacobbe, and Giuseppe Mulone. "Stability of the Plane Bingham–Poiseuille Flow in an Inclined Channel." Fluids 5, no. 3 (August 27, 2020): 141. http://dx.doi.org/10.3390/fluids5030141.

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We study the stability of laminar Bingham–Poiseuille flows in a sheet of fluid (open channel) down an incline with constant slope angle β∈(0,π/2). This problem has geophysical applications to the evolution of landslides. In this article, we apply to this problem recent results of Falsaperla et al. for laminar Couette and Poiseuille flows of Newtonian fluids in inclined channels. The stability of the basic motion of the generalised Navier–Stokes system for a Bingham fluid in a horizontal channel against linear perturbations has been studied. In this article, we study the flows of a Bingham fluid when the channel is oblique and we prove a stabilizing effect of the Bingham parameter B. We also study the stability of the linear system with an energy method (Lyapunov functions) and prove that the streamwise perturbations are always stable, while the spanwise perturbations are energy-stable if the Reynolds number Re is less than the critical Reynolds number Rc obtained solving a generalised Orr equation of a maximum variational problem.
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19

Hu, Tianmu. "Fluxion Form Comparison between Newton Fluid and Bingham Fluid based on Three-Dimensional Numerical Simulation With Examples of Blood in Aorta and Water." Journal of Physics: Conference Series 2386, no. 1 (December 1, 2022): 012006. http://dx.doi.org/10.1088/1742-6596/2386/1/012006.

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Abstract The rheological properties of blood is one of the most important parameter to make an influence on human health. And the numerical simulation is a popular methodology to conduct research towards the fluxion form of blood. In this dissertation, this paper uses Ansys Aim to computationally analyze the vessels based on the theory of Computational Fluid Dynamics (CFD for short). Two kinds of fluid, namely the Newton fluid, water, and the non-Newton fluid, blood, are taken into consideration. And the model of the blood’s non-Newton fluid is set as the Bingham model. Two fluids’ distributions of velocity and absolute stress are given, and the comparison of their fluxion form is done. The simulated results reveal that the biggest velocity in Bingham model is 18.07% bigger than that in Newton model, and the max difference of stress in Bingham model is 139% bigger than that in the water model. The results stated above pave the way for the subsequent research.
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20

Yigit, Sahin, and Nilanjan Chakraborty. "Numerical investigation of aspect ratio influences on Rayleigh–Bénard convection of Bingham fluids in vertical cylindrical annuli." International Journal of Numerical Methods for Heat & Fluid Flow 29, no. 1 (January 7, 2019): 251–79. http://dx.doi.org/10.1108/hff-03-2018-0101.

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Purpose This paper aims to conduct numerical simulations to investigate steady-state laminar Rayleigh–Bénard convection of yield stress fluids obeying Bingham model in rectangular cross-sectional cylindrical annular enclosures. In this investigation, axisymmetric simulations have been carried out for nominal Rayleigh number range Ra = 103 to 105, aspect ratio range AR = 0.25 to 4 (i.e. AR = H/L where H is the enclosure height and L is the difference between outer and inner radii) and normalised inner radius range ri/L = 0 to 16 (where ri is internal cylinder radius) for a nominal representative Prandtl number Pr = 500. Both constant wall temperature (CWT) and constant wall heat flux (CWHF) boundary conditions have been considered for differentially heated horizontal walls to analyse the effects of wall boundary condition. Design/methodology/approach The bi-viscosity Bingham model is used to mimic Bingham fluids for Rayleigh–Bénard convection of Bingham fluids in vertical cylindrical annuli. The conservation equations of mass, momentum and energy have been solved in a coupled manner using the finite volume method where a second-order central differencing scheme is used for the diffusive terms and a second-order up-wind scheme is used for the convective terms. The well-known semi-implicit method for pressure-linked equations algorithm is used for the coupling of the pressure and velocity. Findings It is found that the convective transport strengthens (weakens) with an increase in Ra (AR) for both Newtonian (i.e. Bn = 0) and Bingham fluids, regardless of the boundary conditions. Moreover, the strength of convection is stronger in the CWT configuration than that is for CWHF boundary condition due to higher temperature difference between horizontal walls for both Newtonian (i.e. Bn = 0) and Bingham fluids. The mean Nusselt number Nūcy does not show a monotonic increase with increasing Ra for AR = 1 and ri/L = 4 because of the change in flow pattern (i.e. number of convection rolls/cells) in the CWT boundary condition, whereas a monotonic increase of Nūcy with increasing Ra is obtained for the CWHF configuration. In addition, Nūcy increases with increasing ri/L and asymptotically approaches the corresponding value obtained for rectangular enclosures (ri/L → ∞) for both CWT and CWHF boundary conditions for large values of ri/L. It is also found that both the flow pattern and the mean Nusselt number Nūcy are dependent on the initial conditions for Bingham fluid cases, as hysteresis is evident for AR = 1 for both CWT and CWHF boundary conditions. Originality value Finally, the numerical findings have been used to propose a correlation for Nūcy in the range of 0.25 ≤ ri/L ≤ 16, 0.25 ≤ AR ≤ 2 and 5 × 104 ≤ Ra ≤ 105 for the CWHF configuration.
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21

He, Jian Min, Jin Huang, and Cheng Liu. "Yield and Rheological Behaviors of Magnetorheological Fluids." Advanced Materials Research 97-101 (March 2010): 875–79. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.875.

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Magnetorheological (MR) fluids are materials that respond to an applied magnetic field with the change of their yield and rheological behaviors. In this paper, the yield and rheological behaviors of MR fluids are discussed. Based on the microstructure of magnetic chain a theoretical model is developed to analyze the effect of an applied magnetic field on the yield stress of MR fluids. Bingham model is used to describe the rheological behaviors of MR fluids subject to an applied magnetic field. The results show that altering the strength of an applied field can control the yield stress of MR fluids. The shear stress increases as the strength of an applied magnetic field increases, and it hardly changes with the increase of shear strain rate. MR fluids exhibit Bingham plastic model.
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22

Zhao, Jing, Jiahong He, Stanisław Migórski, and Sylwia Dudek. "An inverse problem for Bingham type fluids." Journal of Computational and Applied Mathematics 404 (April 2022): 113906. http://dx.doi.org/10.1016/j.cam.2021.113906.

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23

Abdali, S. S., Evan Mitsoulis, and N. C. Markatos. "Entry and exit flows of Bingham fluids." Journal of Rheology 36, no. 2 (February 1992): 389–407. http://dx.doi.org/10.1122/1.550350.

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24

Briscoe, Brian J., Mathias Glaese, Paul F. Luckham, and Shaoran Ren. "The falling of spheres through Bingham fluids." Colloids and Surfaces 65, no. 1 (July 1992): 69–75. http://dx.doi.org/10.1016/0166-6622(92)80176-3.

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25

Aghighi, Mohammad Saeid, and Amine Ammar. "Aspect ratio effects in Rayleigh–Bénard convection of Herschel–Bulkley fluids." Engineering Computations 34, no. 5 (July 3, 2017): 1658–76. http://dx.doi.org/10.1108/ec-06-2016-0227.

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Purpose The purpose of this paper is to analyze two-dimensional steady-state Rayleigh–Bénard convection within rectangular enclosures in different aspect ratios filled with yield stress fluids obeying the Herschel–Bulkley model. Design/methodology/approach In this study, a numerical method based on the finite element has been developed for analyzing two-dimensional natural convection of a Herschel–Bulkley fluid. The effects of Bingham number Bn and power law index n on heat and momentum transport have been investigated for a nominal Rayleigh number range (5 × 103 < Ra < 105), three different aspect ratios (ratio of enclosure length:height AR = 1, 2, 3) and a single representative value of nominal Prandtl number (Pr = 10). Findings Results show that the mean Nusselt number Nu¯ increases with increasing Rayleigh number due to strengthening of convective transport. However, with the same nominal value of Ra, the values of Nu¯ for shear thinning fluids n < 1 are greater than shear thickening fluids n > 1. The values of Nu¯ decrease with Bingham number and for large values of Bn, Nu¯ rapidly approaches unity, which indicates that heat transfer takes place principally by thermal conduction. The effects of aspect ratios have also been investigated and results show that Nu¯ increases with increasing AR due to stronger convection effects. Originality/value This paper presents a numerical study of Rayleigh–Bérnard flows involving Herschel–Bulkley fluids for a wide range of Rayleigh numbers, Bingham numbers and power law index based on finite element method. The effects of aspect ratio on flow and heat transfer of Herschel–Bulkley fluids are also studied.
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26

Zhu, Shi Xing, Xin Liu, and Li Ding. "Modeling and Analysis of Magnetorheological Fluid Damper under Impact Load." Advanced Materials Research 452-453 (January 2012): 1481–85. http://dx.doi.org/10.4028/www.scientific.net/amr.452-453.1481.

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Modeling of a multi- ring grooves Magnetorheological（MR）fluid damper designed by ourselves were respectively carried out based on the Bingham model and the Herschel-Bulkley model. By comparing the simulation results of the two models with the true drop experimental result, it was proved that the Herschel-Bulkley model is in good accordance with the experiment and outperformed the Bingham model under high shear rate and high magnetic field. Furthermore, the parameter n in the Herschel-Bulkley model reflects the densification of the MR fluids, and by identifying and selecting the value of n better models and simulation results can be obtained.
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27

Kada, Benhanifia, Rahmani Lakhdar, Mebarki Brahim, and Houari Ameur. "Agitation of Complex Fluids in Cylindrical Vessels by Newly Designed Anchor Impellers." Periodica Polytechnica Mechanical Engineering 66, no. 2 (March 22, 2022): 109–19. http://dx.doi.org/10.3311/ppme.18438.

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The fluid flows and power consumption in a vessel stirred by anchor impellers are investigated in this paper. The case of rheologically complex fluids modeled by the Bingham-Papanastasiou model is considered. New modifications in the design of the classical anchor impeller are introduced. A horizontal blade is added to the standard geometry of the anchor, and the effect of its inclination angle (α) is explored. Four geometrical configurations are realized, namely: α = 0°, 20°, 40°, and 60°. The effects of the number of added horizontal blades, Reynolds number, and Bingham number are also examined. The obtained findings reveal that the most efficient impeller design is that with (case 4) arm blades inclined by 60°.This case allowed the most expansive cavern size with enhanced shearing in the whole vessel volume. The effect of adding second horizontal arm blades (with 60°) gave better hydrodynamic performance only with a slight increase in power consumption. A significant impact of Bingham number (Bn) was observed, where Bn = 5 allowed obtaining the lowest power input and most expansive well-stirred region.
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28

Xu, Baojie, Hualei Zhang, Jiadi Yin, and Yonglin Xue. "Infiltration Grouting Mechanism of Bingham Fluids in Porous Media with Different Particle Size Distributions." Applied Sciences 13, no. 21 (November 2, 2023): 11986. http://dx.doi.org/10.3390/app132111986.

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Although permeation grouting technology has been widely used in engineering practice, there has not been sufficient research on how the distribution of pore sizes in porous media affects the diffusion of grout. In this study, based on the fractal theory of porous media and the Bingham fluid rheological equation, a Bingham fluid permeation grouting mechanism considering the distribution of pore sizes in porous media is proposed. The mechanism is validated through laboratory experiments and numerical simulations using COMSOL 6.0. During the experiments, parallel electrical resistance imaging is employed to monitor the diffusion range of the grout. Furthermore, the effects of grouting pressure, porosity, and water–cement ratio on the diffusion radius of the grout are analyzed. The results show that the Bingham fluid grout diffuses in a semi-spherical shape in the gravel. Additionally, parallel electrical resistance imaging can analyze the diffusion range of the grout in the gravel. The diffusion radius of the Bingham fluid grout in the gravel is smaller than the diffusion radius obtained by considering the particle size distribution theory, with an average difference of 31.8%. Compared to the diffusion radius obtained without considering the particle size distribution theory, the diffusion radius obtained by considering the distribution of pore sizes is closer to the experimental results. The numerically simulated program, which was developed for this study, can effectively simulate the diffusion law of the Bingham fluid in the gravel. So far, the Bingham fluid seepage grouting model considering the different particle size distribution of porous media has been built. The findings of this study can provide theoretical support and technical reference for practical grouting projects.
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29

Nugroho, Kacuk Cikal, Wahid Sidik Sarifuddin, Budi Purnama, Ubaidillah, Nur Azmah Nordin, and Saiful Amri Bin Mazlan. "Effect of Hard Magnetic CoFe2O4 Nanoparticles Additives on Improving Rheological Properties and Dispersion Stability of Magnetorheological Fluids." Key Engineering Materials 855 (July 2020): 89–95. http://dx.doi.org/10.4028/www.scientific.net/kem.855.89.

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Increasing dispersion stability is the main issue in recent research at magnetorheological (MR) fluids. The presentation of nanoparticle addictive in MR fluids is an effective method not only to increase dispersion stability but also increasing performance in MR fluids. In this study, the effect of hard magnetic CoFe2O4 nanoparticles addition on rheological properties and dispersion stabilization had been studied. Rheological properties were investigated using a rheometer at room temperature. The result showed that the addition of CoFe2O4 nanoparticles 1wt% in particles of MR fluids were improving the shear stress and viscosity of MR fluids. Both MR fluids with and without nanoadditives behaving like a Newtonian fluid at the off-state condition and act like Bingham fluid at the on-state condition. Moreover, MR fluid with CoFe2O4 additives had a higher sedimentation ratio than MR fluids without additives.
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30

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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31

Vaidya, Hanumesh, Manjunatha Gudekote, Rajashekhar Choudhari, and Prasad K.V. "Role of slip and heat transfer on peristaltic transport of Herschel-Bulkley fluid through an elastic tube." Multidiscipline Modeling in Materials and Structures 14, no. 5 (December 6, 2018): 940–59. http://dx.doi.org/10.1108/mmms-11-2017-0144.

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Purpose This paper is concerned with the peristaltic transport of an incompressible non-Newtonian fluid in a porous elastic tube. The impacts of slip and heat transfer on the Herschel-Bulkley fluid are considered. The impacts of relevant parameters on flow rate and temperature are examined graphically. The examination incorporates Newtonian, Power-law and Bingham plastic fluids. The paper aims to discuss these issues. Design/methodology/approach The administering equations are solved utilizing long wavelength and low Reynolds number approximations, and exact solutions are acquired for velocity, temperature, flux and stream functions. Findings It is seen that the flow rate in a Newtonian fluid is high when contrasted with the Herschel-Bulkley model, and the inlet elastic radius and outlet elastic radius have opposite effects on the flow rate. Originality/value The analysis carried out in this paper is about the peristaltic transport of an incompressible non-Newtonian fluid in a porous elastic tube. The impact of slip and heat transfer on a Herschel-Bulkley fluid is taken into account. The impacts of relevant parameters on the flow rate and temperature are examined graphically. The examination incorporates Newtonian, Power-law and Bingham plastic fluids.
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32

Rees, D. Andrew S. "The convection of a Bingham fluid in a differentially-heated porous cavity." International Journal of Numerical Methods for Heat & Fluid Flow 26, no. 3/4 (May 3, 2016): 879–96. http://dx.doi.org/10.1108/hff-09-2015-0383.

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Purpose – The purpose of this paper is to determine the manner in which a yield stress fluid begins convecting when it saturates a porous medium. A sidewall-heated rectangular cavity is selected as the testbed for this pioneering work. Design/methodology/approach – Steady solutions are obtained using a second order accurate finite difference method, line relaxation based on the Gauss-Seidel smoother, a Full Approximation Scheme multigrid algorithm with V-cycling and a regularization of the Darcy-Bingham model to smooth the piecewise linear relation between the Darcy flux and the applied body forces. Findings – While Newtonian fluids always convect whenever the Darcy-Rayleigh number is nonzero, Bingham fluids are found to convect only when the Darcy-Rayleigh number exceeds a value which is linearly dependent on both the Rees-Bingham number and the overall perimeter of the rectangular cavity. Stagnation is always found in the centre of the cavity and in regions close to the four corners. Care must be taken over the selection of the regularization constant. Research limitations/implications – The Darcy-Rayleigh number is restricted to values which are at or below 200. Originality/value – This is the first investigation of the effect of yield stress on nonlinear convection in porous media.
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33

Calusi, Benedetta, Angiolo Farina, Lorenzo Fusi, Liviu Iulian Palade, and Fabio Rosso. "Linear stability of viscoplastic flows down an incline." Journal of Physics: Conference Series 2701, no. 1 (February 1, 2024): 012071. http://dx.doi.org/10.1088/1742-6596/2701/1/012071.

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Abstract The stability analysis of viscoplastic flows down an inclined plane is done by comparing results obtained through theoretical and numerical studies of “regularized” models. The theoretical analysis is performed for Regularized Bingham and Casson-like fluids via the long-wave approximation method. In particular, the Bingham and the Casson flow have different stability characteristics, for Bingham-type materials an increase in yield stress leads to flow destabilization, while Casson-type materials show the opposite behaviour. The numerical study is performed by using the Papanastasiou and the “exact” Bingham model via a spectral method. The comparison between theoretical and numerical results shows excellent agreement. Our findings highlight that “regularized” and “exact” flow and can have stability characteristics, although they are “practically indistinguishable”. We validate our approach with the Regularized Bingham-like model, which is in rather satisfactory agreement with the experimental data.
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34

Myslyuk, М. А. "On the assessment of the carrying capacity of drilling fluids." SOCAR Proceedings, no. 1 (March 31, 2023): 26–34. http://dx.doi.org/10.5510/ogp20230100801.

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Methods for evaluating the carrying capacity of drilling fluids for effective hole cleaning are considered. An indicator of the carrying capacity of drilling fluids is proposed, considering the completeness of the flow profile in the annulus. For the rheological models of Newton, Ostwald, Bingham, Herschel – Bulkley and Shulman – Casson, the influence of flow rate and rheological properties on the carrying capacity index in laminar flow in a concentric annular gap is studied. Based on the analysis of field data, the effect of temperature on the carrying capacity of drilling fluids is shown. Keywords: carrying capacity; drilling fluid; laminar flow; rheological model.
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35

Priyadharshini, S., and R. Ponalagusamy. "Biorheological Model on Flow of Herschel-Bulkley Fluid through a Tapered Arterial Stenosis with Dilatation." Applied Bionics and Biomechanics 2015 (2015): 1–12. http://dx.doi.org/10.1155/2015/406195.

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An analysis of blood flow through a tapered artery with stenosis and dilatation has been carried out where the blood is treated as incompressible Herschel-Bulkley fluid. A comparison between numerical values and analytical values of pressure gradient at the midpoint of stenotic region shows that the analytical expression for pressure gradient works well for the values of yield stress till 2.4. The wall shear stress and flow resistance increase significantly with axial distance and the increase is more in the case of converging tapered artery. A comparison study of velocity profiles, wall shear stress, and flow resistance for Newtonian, power law, Bingham-plastic, and Herschel-Bulkley fluids shows that the variation is greater for Herschel-Bulkley fluid than the other fluids. The obtained velocity profiles have been compared with the experimental data and it is observed that blood behaves like a Herschel-Bulkley fluid rather than power law, Bingham, and Newtonian fluids. It is observed that, in the case of a tapered stenosed tube, the streamline pattern follows a convex pattern when we move fromr/R=0tor/R=1and it follows a concave pattern when we move fromr/R=0tor/R=-1. Further, it is of opposite behaviour in the case of a tapered dilatation tube which forms new information that is, for the first time, added to the literature.
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36

Hild, Patrick. "The mortar finite element method for Bingham fluids." ESAIM: Mathematical Modelling and Numerical Analysis 35, no. 1 (January 2001): 153–64. http://dx.doi.org/10.1051/m2an:2001110.

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37

Al Khatib, M. A. M., and S. D. R. Wilson. "Flow of Bingham fluids in an orthogonal rheometer." International Journal of Engineering Science 41, no. 6 (March 2003): 621–32. http://dx.doi.org/10.1016/s0020-7225(02)00152-0.

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38

Fusi, Lorenzo, and Angiolo Farina. "Modelling of Bingham-like fluids with deformable core." Computers & Mathematics with Applications 53, no. 3-4 (February 2007): 583–94. http://dx.doi.org/10.1016/j.camwa.2006.02.033.

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39

Fuchs, Martin, Joseph F. Grotowski, and Jürgen Reuling. "On Variational Models for Quasi-static Bingham Fluids." Mathematical Methods in the Applied Sciences 19, no. 12 (August 1996): 991–1015. http://dx.doi.org/10.1002/(sici)1099-1476(199608)19:12<991::aid-mma810>3.0.co;2-r.

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40

Cioroiu, Doinita Roxana, Oana Cristina Parvulescu, Claudia Irina Koncsag, Tanase Dobre, and Cristian Raducanu. "Rheological Characterization of Algal Suspensions for Bioethanol Processing." Revista de Chimie 68, no. 10 (November 15, 2017): 2311–16. http://dx.doi.org/10.37358/rc.17.10.5875.

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The paper has aimed at studying the rheology of macroalgae aqueous suspensions in the presence of cellulase enzyme relevant to bioethanol processing by a subsequent fermentation. Rheological measurements of aqueous suspensions of Ceramium virgatum and Cladophora vagabunda macroalgae species were performed using a Couette geometry rotational viscosimeter. The effects of operation temperature (t=25, 50 �C), cellulase/dried algae ratio (R=0, 16 U/mgda), and algal suspension mass concentration (c=5-15%) on rheological behaviour and parameters were evaluated. Algal suspensions behaved as non-Newtonian fluids obeying either a Bingham plastic linear relationship or an Ostwald-de Waele power law corresponding to a pseudoplastic fluid. Characteristic dynamic viscosity of Bingham plastic fluids were in the range 0.045-0.115 Pa�s for C. virgatum suspensions and 0.021-0.114 Pa�s for C. vagabunda ones, whereas apparent viscosity varied from 0.138 Pa�s to 43.551 Pa�s for C. virgatum and from 0.181 Pa�s to 45.417 Pa�s for C. vagabunda. Data obtained in 8 rheological tests corresponding to a Bingham plastic behaviour of C. vagabunda suspensions, which were processed according to a 23 factorial experiment, emphasized an increase in suspension viscosity with all process factors. The results could be useful for optimization of enzymatic hydrolysis process in order to develop efficient and cost effective saccharification and fermentation strategies.
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41

Mitsoulis, Evan, S. Marangoudakis, M. Spyratos, Th Zisis, and Nikolaos A. Malamataris. "Pressure-Driven Flows of Bingham Plastics Over a Square Cavity." Journal of Fluids Engineering 128, no. 5 (March 9, 2006): 993–1003. http://dx.doi.org/10.1115/1.2236130.

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Pressure-driven flows over a square cavity are studied numerically for Bingham plastics exhibiting a yield stress. The problem is encountered whenever pressure measurements are made by a drilled-hole based pressure transducer. The Bingham constitutive equation is used with an appropriate modification proposed by Papanastasiou, which applies everywhere in the flow field in both yielded and practically unyielded regions. Newtonian results are obtained for a wide range of Reynolds numbers (0<Re≤1000) for the cavity vortex position and intensity, and the excess pressure drop (entrance correction) in the system. To reduce the length of the computational domain for highly convective flows, an open boundary condition has been implemented at the outflow. For viscoplastic fluids the emphasis is on determining the extent and shape of yielded/unyielded regions along with the cavity vortex shape, size, and intensity for a wide range of Bingham numbers (0≤Bn<∞). The entrance correction is found to be an increasing sigmoidal function of the Bn number, reaching asymptotically the value of zero. It is shown that for viscoplastic fluids not exhibiting normal stresses in shear flow (lack of viscoelasticity), the hole pressure is zero opposite the center of the hole. Thus, any nonzero pressure hole measured by this apparatus would signify the presence of a normal-stress difference in the fluid.
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42

TIAN, Y., K. Q. ZHU, Y. G. MENG, and S. Z. WEN. "MECHANICAL PROPERTIES OF ELECTRORHEOLOGICAL FLUIDS." International Journal of Modern Physics B 19, no. 07n09 (April 10, 2005): 1311–17. http://dx.doi.org/10.1142/s0217979205030232.

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Electrorheological (ER) fluids are usually described by the continuous theory, Newtonian model and Bingham model. But during recent years, experiments showed that the mechanical properties of ER fluids were much complex than the traditional definitions. Many-body effect, modeling mechanical properties of ER fluids from particle chains or columns, and other problems are thought to be some key issues in ER effect and for ER mechanism.
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43

BULLOUGH, W. A., J. R. KINSELLA, D. J. PEEL, and U. S. URANG. "COMPUTATIONAL FLUID DYNAMICS MODELLING OF ELECTRO-STRUCTURED FLOWS." International Journal of Modern Physics B 15, no. 06n07 (March 20, 2001): 731–44. http://dx.doi.org/10.1142/s0217979201005210.

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The use of computational fluid dynamics (CFD) software for modelling the flow of electro-structured fluids is introduced. A non-Newtonian fluids package written specifically to model Bingham plastics is validated for several flow rates between stationary parallel plates for varying yield stresses, plate separations and lengths. The computing procedure is rationalised in terms of grid fitting of the 'plug' edge. The programme is modified to include an analytical expression which relates delectro-rheological fluid parameters. This approach is then used to predict valve flow rates from small sample, Couette viscometer produced data: its output compares with experimental results.
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44

Belayneh, Mesfin, Bernt Aadnøy, and Simen Moe Strømø. "MoS2 Nanoparticle Effects on 80 °C Thermally Stable Water-Based Drilling Fluid." Materials 14, no. 23 (November 25, 2021): 7195. http://dx.doi.org/10.3390/ma14237195.

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Bentonite-based drilling fluids are used for drilling, where inhibitive fluids are not required. The rheological and the density properties of the drilling fluids are highly affected by high temperature and pressure. Due to high temperature, the clay particles stick together, and the fluid system becomes more flocculated. Poorly designed drilling fluid may cause undesired operational issues such as poor hole cleaning, drill strings sticking, high torque and drag. In this study, the 80 °C thermally stable Herschel Bulkley’s and Bingham plastic yield stresses drilling fluids were formulated based on lignosulfonate-treated bentonite drilling fluid. Further, the impact of a MoS2 nanoparticle solution on the properties of the thermally stable base fluid was characterized. Results at room temperature and pressure showed that the blending of 0.26 wt.% MoS2 increased the lubricity of thermally stable base fluid by 27% and enhanced the thermal and electrical conductivities by 7.2% and 8.8%, respectively.
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45

Tomioka, Keiya, and Tomohiro Fukui. "Numerical Analysis of Non-Newtonian Fluid Effects on the Equilibrium Position of a Suspended Particle and Relative Viscosity in Two-Dimensional Flow." Fluids 9, no. 2 (February 1, 2024): 37. http://dx.doi.org/10.3390/fluids9020037.

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A solvent in suspension often has non-Newtonian properties. To date, in order to determine these properties, many constitutive equations have been suggested. In particular, power-law fluid, which describes both dilatant and pseudoplastic fluids, has been used in many previous studies because of its simplicity. Then, the Herschel–Bulkley model is used, which describes fluid with yield stress. In this study, we considered how a non-Newtonian solvent affected the equilibrium position of a particle and relative viscosity using the regularized lattice Boltzmann method for fluid and a two-way coupling scheme for the particle. We focused on these methods so as to evaluate the non-Newtonian effects of a solvent. The equilibrium position in Bingham fluid was closer to the wall than that in Newtonian or power-law fluid. In contrast, the tendency of relative viscosity in Bingham fluid for each position was similar to that in power-law fluid.
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46

Rekha Gopalkrishna Pai and Ammembal Gopalkrishna Pai. "Core Variation of a Non-Newtonian Fluid in an Annular Cylinder." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 103, no. 2 (March 23, 2023): 12–19. http://dx.doi.org/10.37934/arfmts.103.2.1219.

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The objective of the paper is to investigate the variation of core thickness of a non-Newtonian fluid in an annular cylinder at the entrance region. It is derived numerically, with no prior assumptions on the form of the Velocity profile. The thickness of the core is examined at each cross section of annuli for various values of Bingham number and aspect ratio by applying mass balance equation. The effect of various parameters on the flow rate are obtained graphically. The examination incorporates Bingham plastic fluids, Casson and Herschel-Bulkley fluid. The administering equations are solved using an iterative procedure by converting non-linear algebraic equation, expressing the variation in pressure in terms of core thickness obtained using the mass balance equation and plug core velocities along the boundary layers. The core thickness is obtained numerically by solving this equation using an iterative procedure. MATLAB programming tool has been employed to get the graphical variation of core thickness for different values of aspect ratio. The comparisons have been made between the obtained results and the results of Casson and Herschel-Bulkley fluids. Also, we find excellent agreement between our numerical results and the results available in literature.
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47

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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48

Mustafa, Meraj, Maria Tabassum, and Mahmood Rahi. "Second law analysis of heat transfer in swirling flow of Bingham fluid by a rotating disk subjected to suction effect." Thermal Science, no. 00 (2019): 162. http://dx.doi.org/10.2298/tsci180722162m.

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This framework presents heat transfer analysis for swirling flow of viscoplastic fluid bounded by a permeable rotating disk. Problem formulation is made through constitutive relations of Bingham fluid model. Viscous dissipation effects are preserved in the mathematical model. Entropy production analysis is made which is yet to be explored for the von-K?rm?n flow of non-Newtonian fluids. Having found the similarity equations, these have been dealt numerically for broad parameter values. The solutions are remarkably influenced by wall suction parameter (A) and Bingham number (Bn) which measures the fluid yield stress. Akin to earlier numerical results, thermal boundary layer suppresses upon increasing wall suction velocity. Thermal penetration depth is much enhanced when fluid yield stress becomes large. Higher heat transfer rate can be accomplished by employing higher suction velocity at the disk. However, deterioration in heat transfer is anticipated as fluid yield stress enlarges. Current numerical results are in perfect line with those of an existing article in limiting sense.
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49

Hamedi, Naser, and Lars-Göran Westerberg. "On the Interaction of Side-By-Side Circular Cylinders in Viscoplastic Fluids." Fluids 4, no. 2 (May 21, 2019): 93. http://dx.doi.org/10.3390/fluids4020093.

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In this paper, the static interaction of a train of three cylinders in a Bingham fluid is studied numerically using Computational Fluid Dynamics. The variation of drag forces for the cylinders in several configurations is investigated. Positions of the particles in relation to the reference particle are recognized by the separation distance between the cylinders. A steady state field is considered, with Bingham numbers between 5 and 150. Several separation distances (d) were considered, such that 2.0D ≤ d ≤ 6.0D where D is the cylinder diameter. The Reynolds number was chosen in the range of 5 ≤ Re ≤ 40. In particular, the effect of the separation distance, Reynolds number and Bingham number on the shape and size of the unyielded regions was investigated. The functional dependence of this region and the drag coefficient is explored. The present results reveal the significant influence of the gap between the cylinders on the drag force and the shape of the unyielded regions surrounding the cylinders. It was found that there are several configurations in which the drag forces over the first and the third cylinders are almost equal depending on variation of the Bi, Re and the separation distance.
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50

Choi, Seung Bok, Jung Woo Sohn, and Y. S. Lee. "Temperature Effect on Yield Stress of Electrorheological Fluids: Experimental Investigation." Key Engineering Materials 324-325 (November 2006): 173–76. http://dx.doi.org/10.4028/www.scientific.net/kem.324-325.173.

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In the present paper, temperature effect on yield stress of electrorheological fluids is experimentally investigated. A rotational shear-mode type electroviscometer is designed and manufactured for the identification of Bingham characteristics of ER fluids. Optimization of ER fluids is undertaken with carrier liquid, particle and additive treatment and then four different ER fluids are prepared for the test. The field-dependent yield stress, current density and response time of optimized ER fluids are compared at various temperature conditions.
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