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Journal articles on the topic 'Non-uniform fluid'

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Published: 25 November 2022

Last updated: 8 December 2022

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1

Shi-Qi, Zhou. "Theoretical Investigation of Uniform and Non-uniform Penetrable Sphere Fluid." Communications in Theoretical Physics 46, no. 2 (August 2006): 323–31. http://dx.doi.org/10.1088/0253-6102/46/2/029.

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2

Evans, R. G. "Non-uniform illumination of laser targets." Laser and Particle Beams 3, no. 3 (August 1985): 273–81. http://dx.doi.org/10.1017/s0263034600001488.

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Attempts to accelerate and implode laser targets are hindered by the non-uniformities present in real laser beams. The effects of non-uniform illumination are ‘smoothed’ by thermal transport in the low density ablation plasma but amplified by the fluid instabilities (Rayleigh–Taylor) present in the high density accelerated material. In this paper the effects of different assumptions concerning the plasma thermal conductivity are analysed and the inclusion of the full fluid equations is shown to introduce oscillatory (acoustic) and growing (Rayleigh–Taylor) phenomena into the fluid response.

3

Mollaabbasi, R., and S. M. Taghavi. "Buoyant displacement flows in slightly non-uniform channels." Journal of Fluid Mechanics 795 (April 22, 2016): 876–913. http://dx.doi.org/10.1017/jfm.2016.232.

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We consider displacement flows in slightly diverging or converging plane channels. The two fluids are miscible and buoyancy is significant. We assume that the channel is oriented close to horizontal. Employing a classical lubrication approximation, we simplify the governing equations to furnish a semi-analytical solution for the flux functions. Then, we demonstrate how the non-uniformity of the displacement flow geometry can affect the propagation of the interface between the heavy and light fluids in time, for various parameters studied, e.g. the viscosity ratio, a buoyancy number and rheological features. By setting the molecular diffusion effects to zero, certain solution behaviours at longer times can be practically predicted through the associated hyperbolic problem, using which it becomes possible to directly compute the interfacial features of interest, e.g. leading and trailing front heights and speeds. For a Newtonian displacement flow in a converging or uniform channel, as the buoyancy number increases from zero, we are able to classify three flow regimes based on the behaviour of the trailing front near the top of the channel: a no-back-flow regime, a stationary interface flow regime, and a sustained back-flow regime. For the case of a diverging channel flow, the sustained back-flow regime is replaced by an eventually stationary interface flow regime. In addition, as the displacement flow progresses, the leading front speed typically increases (decreases) in a converging (diverging) channel, while the opposite is usually true for the front height. For the no-back-flow regime (i.e. with small buoyancy), the solution of the displacement flow at long times in all the geometries considered converges to a similarity form, while no similarity form is found for the other flow regimes. As the displacement flow develops, frontal diffusive effects are reduced (enhanced) in a converging (diverging) channel and multiple fronts are progressively less (more) present in a converging (diverging) channel. Regarding non-Newtonian effects, a shear-thinning fluid displacing a Newtonian fluid exhibits an increasingly fast front that has a short height in a converging channel. When a yield stress is present in the displaced fluid, it is possible to find residual wall layers of displaced fluid that are completely static. These layers disappear at a certain critical downstream distance in a converging channel while they appear at a critical distance in a diverging channel. Finally, the combination of strong buoyant and yield-stress effects can modify the destiny of a second front that follows the leading front.

4

Zhongzhong, Wang, Li Decai, and Zhou Jing. "Non-uniform Distribution of Magnetic Fluid in Multistage Magnetic Fluid Seals." Journal of Magnetics 22, no. 2 (June 30, 2017): 299–305. http://dx.doi.org/10.4283/jmag.2017.22.2.299.

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5

Percus, J. K. "Entropy of a non-uniform one-dimensional fluid." Journal of Physics: Condensed Matter 1, no. 17 (May 1, 1989): 2911–22. http://dx.doi.org/10.1088/0953-8984/1/17/011.

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6

Percus, J. K. "The pressure tensor in a non-uniform fluid." Chemical Physics Letters 123, no. 4 (January 1986): 311–14. http://dx.doi.org/10.1016/0009-2614(86)80078-1.

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7

Mekheimer, K. S., and Y. Abd Elmaboud. "Peristaltic Transport of a Particle–Fluid Suspension through a Uniform and Non-Uniform Annulus." Applied Bionics and Biomechanics 5, no. 2 (2008): 47–57. http://dx.doi.org/10.1155/2008/391687.

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This study looks at the influence of an endoscope on the peristaltic flow of a particle–fluid suspension (as blood model) through tubes. A long wavelength approximation through a uniform and non-uniform infinite annulus filled with an incompressible viscous and Newtonian fluid mixed with rigid spherical particles of identical size is investigated theoretically. The inner tube is uniform, rigid and moving with a constant velocity V0, whereas the outer non-uniform tube has a sinusoidal wave travelling down its wall. The axial velocity of the fluid phase uf, particulate phase upand the pressure gradients have been obtained in terms of the dimensionless flow rateQ, the amplitude ratioɸ, particle concentrationC, the velocity constant V0and the radius ratio ϵ (the ratio between the radius of the inner tube and the radius of the outer one at the inlet). Numerical calculations for various values of the physical parameters of interest are carried out for the pressure rise and the friction force on the inner and the outer tubes.

8

Barrett, Jonathan C. "Random phase approximation for the non-uniform Yukawa fluid." Journal of Physics: Condensed Matter 31, no. 15 (February 18, 2019): 155002. http://dx.doi.org/10.1088/1361-648x/ab0037.

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9

Pelevina, D. A., V. A. Naletova, and V. A. Turkov. "Magnetic fluid bridge in a non-uniform magnetic field." Journal of Magnetism and Magnetic Materials 431 (June 2017): 184–87. http://dx.doi.org/10.1016/j.jmmm.2016.09.059.

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10

Ünal, H. C. "Temperature distributions in fins with uniform and non-uniform heat generation and non-uniform heat transfer coefficient." International Journal of Heat and Mass Transfer 30, no. 7 (July 1987): 1465–77. http://dx.doi.org/10.1016/0017-9310(87)90178-5.

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11

Chen, Jianwen, Zhi-Min Chen, and Bo-Qing Dong. "Uniform attractors of non-homogeneous micropolar fluid flows in non-smooth domains." Nonlinearity 20, no. 7 (May 29, 2007): 1619–35. http://dx.doi.org/10.1088/0951-7715/20/7/005.

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12

Mekheimer, K. S., and Y. Abd elmaboud. "Peristaltic transport of a particle–fluid suspension through a uniform and non-uniform annulus." Applied Bionics and Biomechanics 5, no. 2 (December 5, 2008): 47–57. http://dx.doi.org/10.1080/11762320802376183.

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13

Zhao, Caidi, Shengfan Zhou, and Xinyuan Liao. "Uniform attractors for nonautonomous incompressible non-Newtonian fluid with locally uniform integrable external forces." Journal of Mathematical Physics 47, no. 5 (May 2006): 052701. http://dx.doi.org/10.1063/1.2200145.

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14

GALPER, A. R., and T. MILOH. "Curved slender structures in non-uniform flows." Journal of Fluid Mechanics 385 (April 25, 1999): 21–40. http://dx.doi.org/10.1017/s0022112098004170.

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General expressions are derived for the load distribution acting on an arbitrary curved and twisted rigid or deformable slender cylindrical structure moving in an ambient non-uniform potential flow field. Further simplifications are presented for flexible shapes in the limit of a small cross-section. The general analysis is illustrated for straight, toroidal and helical shapes. These shapes are frequently encountered in nature and are good examples of typical fluid–structure interaction problems.

15

Ren, Shao Qing, Chun Fu Gao, Peng Huang, Xin Sheng He, Hong Yun Wang, and Wei Zeng Chen. "Research on MRF Shear Stress Measurement Method under Non-Uniform Magnetic." Key Engineering Materials 620 (August 2014): 347–50. http://dx.doi.org/10.4028/www.scientific.net/kem.620.347.

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Magnetorheological fluid as an important branch of the emerging intelligent material, its excellent characteristics make it widely used in electrical system and mechanical system. Common MRF system environment is limited to a uniform magnetic field, the practical application process to the vast of magneto rheological characteristics devices has shown the phenomenon, which does not match the uniform magnetic field theory, the reason is that the actual work environment is the non-uniform magnetic [1-2]. To study the characteristics of MRF shear stress in a non-uniform magnetic field, this paper established a non-uniform field magneto-rheological fluid shear stress measurement device. Comparing the experimental shear stress curves with the uniform magnetic field measured shear stress curves, we found that the non-uniform magnetic field strength of the environmental equivalent shear stress values compared with the uniform magnetic field data have large deviation, this indicates that the existing uniform magnetic field theory is not well to explain non-uniform magnetic field shear properties of MRF, we need to build the introduction of non-uniform magnetic field theory.

16

Woods, Andrew W., and Nicola Mingotti. "Topographic viscous fingering: fluid–fluid displacement in a channel of non-uniform gap width." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374, no. 2078 (October 13, 2016): 20150427. http://dx.doi.org/10.1098/rsta.2015.0427.

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We consider the displacement of one fluid by a second immiscible fluid through a long, thin permeable channel whose thickness and permeability decrease away from the axis of the channel. We build a model that illustrates how the shape of the fluid–fluid interface evolves in time. We find that if the injected fluid is of the same viscosity as the original fluid, then the cross-channel variations in permeability and thickness tend to focus the flow along the centre of the channel. If the viscosity of the injected fluid is smaller than the original fluid, then this flow focusing intensifies, leading to very poor sweep of the original fluid in the system, with the injected fluid bypassing much of the channel. We also show that if the viscosity ratio of the injected fluid to the original fluid is sufficiently large, then a blunt nose may develop at the leading edge of the injected fluid, whereas the remainder of the fluid–fluid interface becomes stretched out along the edges of the channel. This leads to a much more efficient sweep of the original fluid from the channel. We generalize the model to illustrate how buoyancy forces and capillary pressure affect the evolution of the system and compare our model predictions with some simple laboratory experiments. This partial stabilization of a fluid interface in a channel of non-uniform width represents a generalization of the classical Saffman–Taylor instability, and our nonlinear solutions for the evolution of the interface highlight the importance of cross-channel variations in permeability and thickness in modelling flow in channelled reservoirs. This article is part of the themed issue ‘Energy and the subsurface’.

17

Pranesh, S. "Effects of Magnetic Field and Non-Uniform Basic Temperature Gradient." Mapana - Journal of Sciences 1, no. 1 (June 8, 2002): 1–14. http://dx.doi.org/10.12723/mjs.1.1.

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The effects of a non-uniform temperature gradient and magnetic field on the onset of convection in a horizontal layer of Boussinesq fluid with suspended particles confined between an upper free/adiabatic boundary and a lower rigid/isothermal boundary have been considered. A linear stability analysis is performed. The microrotation is assumed to vanish at the boundaries. The Galerkin technique is used to obtain the Eigen values. The influence of various parameters on the onset of convection has been analysed. Six different non-uniform temperature profiles are considered and their comparative influence on onset is discussed. It is observed that the electrically conducting fluid layer with suspended particles heated from below is more stable compared to the classical electrically conducting fluid without Suspended particles. The critical wave number is found to be insensitive to the changes in the parameters but sensitive to the changes in the Chandrasekhar number.

18

Shirsavar, R., M. Nasiri, A. Amjadi, A. Nejati, S. O. Sobhani, and Mehdi Habibi. "Rotation induced by uniform and non-uniform magnetic fields in a conducting fluid carrying an electric current." RSC Advances 6, no. 113 (2016): 112641–45. http://dx.doi.org/10.1039/c6ra24346k.

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19

Shi-Qi, Zhou, Chen Hong, and Zhang Xiao-Qi. "A New Uniform Phase Bridge Functional: Test and Its Application to Non-uniform Phase Fluid." Communications in Theoretical Physics 39, no. 2 (February 15, 2003): 231–37. http://dx.doi.org/10.1088/0253-6102/39/2/231.

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20

Shi-Qi, Zhou, Chen Hong, Ling Si-Li, Xiang Xian-Wei, and Zhang Xiao-Qi. "Statistical Mechanics Approach for Uniform and Non-uniform Fluid with Hard Core and Interaction Tail." Communications in Theoretical Physics 39, no. 3 (March 15, 2003): 331–36. http://dx.doi.org/10.1088/0253-6102/39/3/331.

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21

Rafiei, Behnam, Hamed Masoumi, Mohammad Saeid Aghighi, and Amine Ammar. "Effects of complex boundary conditions on natural convection of a viscoplastic fluid." International Journal of Numerical Methods for Heat & Fluid Flow 29, no. 8 (August 5, 2019): 2792–808. http://dx.doi.org/10.1108/hff-09-2018-0507.

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Purpose The purpose of this paper is to analyze the effects of complex boundary conditions on natural convection of a yield stress fluid in a square enclosure heated from below (uniformly and non-uniformly) and symmetrically cooled from the sides. Design/methodology/approach The governing equations are solved numerically subject to continuous and discontinuous Dirichlet boundary conditions by Galerkin’s weighted residuals scheme of finite element method and using a non-uniform unstructured triangular grid. Findings Results show that the overall heat transfer from the heated wall decreases in the case of non-uniform heating for both Newtonian and yield stress fluids. It is found that the effect of yield stress on heat transfer is almost similar in both uniform and non-uniform heating cases. The yield stress has a stabilizing effect, reducing the convection intensity in both cases. Above a certain value of yield number Y, heat transfer is only due to conduction. It is found that a transition of different modes of stability may occur as Rayleigh number changes; this fact gives rise to a discontinuity in the variation of critical yield number. Originality/value Besides the new numerical method based on the finite element and using a non-uniform unstructured grid for analyzing natural convection of viscoplastic materials with complex boundary conditions, the originality of the present work concerns the treatment of the yield stress fluids under the influence of complex boundary conditions.

22

Zijun, Zhang, Liu Yongshou, and Han Tao. "Two parameters affecting the dynamics characteristics of a uniform-conical assembled pipe conveying fluid." Journal of Vibration and Control 23, no. 3 (August 9, 2016): 361–72. http://dx.doi.org/10.1177/1077546315577747.

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A modified Galerkin approach is employed to calculate the dynamic characteristics of a complex non-uniform fluid-conveying pipe assembled by a uniform and a conical segment. The effects of two geometric parameters (length ratio of the uniform part and conical truncation factor) on the dynamic stability are studied. Results prove that for the assembled fluid-conveying pipe 1) when fluid enters the pipe from the thinner end, the natural frequencies are higher than those when it enters from the wider end; 2) the critical flow velocity increases linearly with the increase of the uniform part ratio, while it decreases squarely with the increase of the conical truncation factor in a limited range and 3) the clamp-pined non-uniform pipe has a higher dimensionless critical velocity than the pin-clamped pipe when fluid enters from the wider end.

23

Abudoureheman, Abudoukelimu, Xamxinur Abdikerem, and Mamtimin Gheni. "Numerical Simulation of Sand Ripple Formation with Periodically Uniform and Non-Uniform Stream Field." Advanced Materials Research 33-37 (March 2008): 1063–68. http://dx.doi.org/10.4028/www.scientific.net/amr.33-37.1063.

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In this study, for the numerical simulation of the sand ripple’s forming process which caused by the sand flow, the simulation models based on the fluid dynamics and the sand flow field by the wind are analyzed. Due to sand field’s characteristics is very complex, the establishing process of stream flow field constitutive equations analyzed at first, and then the implication relations and independency between stream flow field and the sand flow field analyzed. Finally, the sand ripple forming and moving process simulated in uniform and non-uniform stream flow field.

24

Oke, Abayomi S., Winifred N. Mutuku, Mark Kimathi, and Isaac L. Animasaun. "Insight into the dynamics of non-Newtonian Casson fluid over a rotating non-uniform surface subject to Coriolis force." Nonlinear Engineering 9, no. 1 (October 13, 2020): 398–411. http://dx.doi.org/10.1515/nleng-2020-0025.

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AbstractCasson fluid model is the most accurate mathematical expression for investigating the dynamics of fluids with non-zero plastic dynamic viscosity like that of blood. Despite huge number of published articles on the transport phenomenon, there is no report on the increasing effects of the Coriolis force. This report presents the significance of increasing not only the Coriolis force and reducing plastic dynamic viscosity, but also the Prandtl number and buoyancy forces on the motion of non-Newtonian Casson fluid over the rotating non-uniform surface. The relevant body forces are derived and incorporated into the Navier-Stokes equations to obtain appropriate equations for the flow of Newtonian Casson fluid under the action of Coriolis force. The governing equations are non-dimensionalized using Blasius similarity variables to reduce the nonlinear partial differential equations to nonlinear ordinary differential equations. The resulting system of nonlinear ordinary differential equations is solved using the Runge-Kutta-Gills method with the Shooting technique, and the results depicted graphically. An increase in Coriolis force and non-Newtonian parameter decreases the velocity profile in the x-direction, causes a dual effect on the shear stress, increases the temperature profiles, and increases the velocity profile in the z-direction.

25

Sharma, Ram Prakash, K. Avinash, N. Sandeep, and Oluwole Daniel Makinde. "Thermal Radiation Effect on Non-Newtonian Fluid Flow over a Stretched Sheet of Non-Uniform Thickness." Defect and Diffusion Forum 377 (September 2017): 242–59. http://dx.doi.org/10.4028/www.scientific.net/ddf.377.242.

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The influence of thermal radiation on a two-dimensional non-Newtonian fluid flow past a slendering stretching surface is investigated theoretically. Casson and Williamson fluid models are considered with Soret and Dufour effects. The transformed ODEs are solved numerically using the bvp5c Matlab package and dual solutions are executed for Casson and Williamson fluid cases. The influence of various parameters, namely, thermal radiation parameter, cross diffusion parameters and slip parameters on velocity, thermal and concentration distributions are discussed with the assistance of graphs. The local Nusselt and Sherwood numbers are computed and presented through tables. It is observed that the influence of cross diffusion is higher on Williamson flow when equated with the Casson flow.

26

Berezin, Arseniy Vladimirovich, Anton Valerievich Ivanov, and Anastasia Yurievna Perepelkina. "LBM on non-uniform grids without interpolation." Keldysh Institute Preprints, no. 65 (2022): 1–20. http://dx.doi.org/10.20948/prepr-2022-65.

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Lattice Boltzmann method (LBM) is a numerical scheme for solving fluid dynamics problems. One of the important and actively developing areas of LBM is the correct construction of the scheme on non-uniform spatial grids. With non-uniform grids the total number of calculations can be significantly reduced. However, at the moment, the construction of an LBM scheme near the boundary of grids with different spatial steps inevitably requires data interpolation, which can reduce the LBM approximation order and lead to violation of conservation laws. In this work, for the first time, we have developed and tested a method for constructing an athermal node-based LBM on non-uniform grids without interpolation, with the same time step for grids of different scales. The method based on a two-stage transformation of populations corresponding to different on-grid stencils.

27

ZHOU, SHIQI. "EXTENDING SIMPLE WEIGHTED DENSITY APPROXIMATION FOR HARD SPHERE FLUID TO LENNARD–JONES FLUID (I): TEST." International Journal of Modern Physics B 19, no. 32 (December 30, 2005): 4701–21. http://dx.doi.org/10.1142/s0217979205033078.

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A theoretical formalism which can be combined with any hard sphere density functional approximations (DFA) to construct DFA for non-hard sphere fluids with a hard or soft core subjected to diverse external potentials is proposed. To show validity and power of the present formalism, we employ a simple weighted density approximation as an illustrating example. It is found that the resultant DFA for Lennard–Jones fluid under influences of diverse extenal potentials is in generally satisfactory agreement with corresponding simulational results even though the co-existence bulk fluid in the particle reservoir with which the non-uniform fluid under consideration is connected, is situated at "dangerous" regions. The significance of the present formalism lies in that it can be combined with any other hard sphere DFAs to construct DFAs for any non-hard sphere fluids with a hard or soft core.

28

Tromp, Rutger, Leo Pel, and David Smeulders. "Modeling fluid polarization during flow in a non-uniform polarization field." Journal of Magnetic Resonance Open 8-9 (December 2021): 100021. http://dx.doi.org/10.1016/j.jmro.2021.100021.

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29

Elshehawey, Elsayed Farouk, Abd El Magied El Misery, and Abd El Hakeem Abd El Naby. "Peristaltic Motion of Generalized Newtonian Fluid in a Non-Uniform Channel." Journal of the Physical Society of Japan 67, no. 2 (February 15, 1998): 434–40. http://dx.doi.org/10.1143/jpsj.67.434.

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30

Choi, Wooyoung, and T. Yao-tsu Wu. "Vortex solitons in a rotating fluid within a non-uniform tube." Wave Motion 24, no. 3 (November 1996): 243–62. http://dx.doi.org/10.1016/s0165-2125(96)00007-8.

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31

Nikjoo, E., and A. Hashemi. "Effects of non-uniform fluid saturation distribution on pressure transient analysis." Journal of Petroleum Exploration and Production Technology 2, no. 3 (July 28, 2012): 141–47. http://dx.doi.org/10.1007/s13202-012-0030-1.

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32

Zhao, Caidi, Shengfan Zhou, and Yongsheng Li. "Uniform attractor for a two-dimensional nonautonomous incompressible non-Newtonian fluid." Applied Mathematics and Computation 201, no. 1-2 (July 2008): 688–700. http://dx.doi.org/10.1016/j.amc.2008.01.005.

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33

Fearn, D. R., and L. Richardson. "Convection In A Non-Uniformly Stratified Fluid Permeated By A Non-Uniform Magnetic Field." Geophysical Journal International 104, no. 1 (January 1991): 203–11. http://dx.doi.org/10.1111/j.1365-246x.1991.tb02504.x.

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34

Munawar, Sufian, Ahmer Mehmood, Asif Ali, and Najma Saleem. "Unsteady Boundary-Layer Flow over Jerked Plate Moving in a Free Stream of Viscoelastic Fluid." Scientific World Journal 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/601950.

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This study aims to investigate the unsteady boundary-layer flow of a viscoelastic non-Newtonian fluid over a flat surface. The plate is suddenly jerked to move with uniform velocity in a uniform stream of non-Newtonian fluid. Purely analytic solution to governing nonlinear equation is obtained. The solution is highly accurate and valid for all values of the dimensionless time0≤τ<∞. Flow properties of the viscoelastic fluid are discussed through graphs.

35

Bharuthram, R., and P. K. Shukla. "Dynamics of kink instability in a non-uniform magnetoplasma." Journal of Plasma Physics 38, no. 2 (October 1987): 309–16. http://dx.doi.org/10.1017/s0022377800012605.

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Accounting for an external electron current gradient, a set of nonlinear fluid equations governing the dynamics of kink instability in an inhomogeneous magnetized plasma has been derived. In the linear regime, the dispersion relation is analysed and the variation of the growth rate is graphically shown. In the nonlinear regime, it is shown that a quasi-stationary solution of the mode coupling equations can be represented as a dipolar vortex. Conditions under which the latter arises are given.

36

Wu, Ge Ping, Ping Lu, and Jun Wang. "Non-Uniform Heating Condition Effects in Microchannels of the MTPV Systems." Applied Mechanics and Materials 437 (October 2013): 120–23. http://dx.doi.org/10.4028/www.scientific.net/amm.437.120.

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Heat transfer and fluid flow in the microchannel cooling passages of plane cell type MTPV systems are numerically investigated. The Finite Volume method is adopted for the governing equations discretization; The SIMPLE method is applied to deal with the linkage between pressure and velocities. The microscale effects, such as surface roughness and viscous dissipation are taken into account. Influence of non-uniform heating condition on the flow and heat transfer characteristics of the microchannel cooling passage was discussed. The computer simulations were validated by the experiment data. Numerical results confirm that the effects of non-uniform heating condition on fluid flow and heat transfer in microchannels could not be neglected.

37

Ibrahim, S. Mohammed, Prathi Vijaya Kumar, and Oluwole Daniel Makinde. "Chemical Reaction and Radiation Effects on Non-Newtonian Fluid Flow over a Stretching Sheet with Non-Uniform Thickness and Heat Source." Defect and Diffusion Forum 387 (September 2018): 319–31. http://dx.doi.org/10.4028/www.scientific.net/ddf.387.319.

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The principle priority of this study is to inspect the performance of two dimensional chemically reacting non-Newtonian fluid bearing Soret, Dufour, thermal radiation, heat source and slip effects. The flow is prompted by a slendering surface with variable thickness. Casson and Williamson fluid models are incorporated in this discussion. Governing equations are evolved and converted into ordinary differential equations using similarity transformations. We adopted homotopy analysis method (HAM) to pick up the solutions. The graphical and tabular results for velocity, temperature, concentration, skin friction factor, local Nusselt number and Sherwood number are secured for both Casson and Williamson fluids. The correspondence between the acquired and previous results reveals that they are in good correlation. It is found that there is a significant increase in the thermal boundary layer thickness when the strength of the Dufour number is increased.

38

OZCAN, SINAN, CAHIT A. EVRENSEL, MARK A. PINSKY, and ALAN FUCHS. "DYNAMIC SIMULATION OF PRESSURE DRIVEN FLOW OF FLUIDS WITH SUSPENDED FERROUS PARTICLES IN A MICRO CHANNEL UNDER MAGNETIC FIELD." International Journal of Modern Physics B 21, no. 28n29 (November 10, 2007): 4890–97. http://dx.doi.org/10.1142/s0217979207045803.

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This computational study focuses on the dynamics of individual ferrous particles and the flow of the incompressible Newtonian fluid under the effect of an externally applied magnetic field and pressure gradient in a two-dimensional micro channel with smooth walls. The particle dynamics is simulated as a discrete phase using MATLAB code and the fluid flow is solved as a continuous phase using Computational Fluid Dynamics Software FLUENT. Interaction between the particle and fluid phases are included as hydrodynamic forces predicated by the fluid phase simulation and updated particle locations determined by the particle phase solution under non-uniform magnetic field. Non-uniform magnetic field forces the particles to move to poles of the magnet, and results in their accumulation. This causes drastic change on the continuous phase flow and pressure distribution, which in turn influences the particle motion. Predicted dynamics of the suspended ferrous particles under magnetic field and flow of the carrier fluid with pressure gradient is in reasonably well agreement with previous work. The results show that non-uniform magnetic field generated by externally placed magnets can be used to control the locations of the particles and flow of the fluid in a micro channel.

39

Chen, Wei Zeng, Guang Zhang, Xin Sheng He, Shao Qing Ren, and Peng Huang. "Developing of the Experimental Device that Test Magneto Rheological Fluid(MRF) Shear Yield Stress Nnder Non Uniform Composite Field." Key Engineering Materials 667 (October 2015): 385–90. http://dx.doi.org/10.4028/www.scientific.net/kem.667.385.

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Abstract:

In order to study magneto rheological fluid shear characteristics developing of magnetic field and temperature field under the actual condition (non-uniform composite field), Experimental device that test magneto rheological fluid (MRF) Shear yield stress under Non uniform composite field was developed. The device of the magnetic field distribution, temperature conductivity, shear yield stress are studied in theory and prototype production, and then testing the Shear yield stress of magneto rheological fluids of different magnetic field, temperature yield . The adjusting range of temperature of the experimental device is for 0-200, the magnetic field adjusting range by adjusting the current of the electromagnetic coil in the 0mt-300mt. Makes the air gap magnetic field intensity is 20mt, magneto rheological fluid in the shear rate at , the research of magneto rheological fluid shear yield stress with the magnetic field variation different temperatures (T=10, T=50, T=100,T=130, T=150, T=170) . The experimental results show that: in the 10-170, the temperature value basically does not affect the shear yield stress of the MR fluid, but the temperature is less than 10 and the temperature is greater than 170, the effects that temperature size on MRF Shear yield stress is relatively large.

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Mohammadi, Masoud, and Masoud Riazi. "Applicable Investigation of SPH in Characterization of Fluid Flow in Uniform and Non-Uniform Periodic Porous Media." Sustainability 14, no. 21 (November 2, 2022): 14320. http://dx.doi.org/10.3390/su142114320.

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Today, the use of numerical modeling for characterizing properties of porous media and related concepts has been widely extended, especially in subsurface flow issues such as geological CO2 storage and petroleum recovery. Therefore, in this study, the fundamental problem of laminar fluid flow through uniform or non-uniform and periodic array of cylinders was functionally investigated using the smoothed particle hydrodynamics (SPH) method as a modern and applied method of modeling in order to develop the past studies and introduce a complementary numerical tool alongside laboratory methods. All modeling processes were performed in the form of dimensionless processes for generalization and applicability at different scales. The results were used to characterize properties of porous media and to investigate basic properties such as fluid velocity, permeability, streamlines, and hydraulic tortuosity. Accuracy of modeling was shown in comparison with the results obtained in the literature. In this study, the potential of the method has been investigated in order to show the ability in modeling characteristic laboratory experiments of porous media and the possibility of using it instead of them. For this purpose, three periodic models of uniform and randomly distributed non-uniform porous media with arrays of circular, square, and diamond-shaped cylinders in a porosity range of 30–95%, with different types of cylinder distribution at the pore scale, were investigated. New equations were proposed for permeability as a function of porosity. Moreover, the method of tortuosity calculation was investigated directly through the time history of properties in the SPH method, and shape factors were obtained for the studied porous media models. The results showed that the geometry of a square cylinder with distribution in a square grid led to a higher permeability than circular and diamond-shaped grids. In contrast, diamond-shaped geometry with distribution in a hexagonal grid led to higher permeability than the other two models. Furthermore, diamond-shaped geometry had higher tortuosity, and circular and square geometries had almost identical tortuosity. Increasing the size of the modeling domain and decreasing the size of cylinders (i.e., decreasing resolution) reduces effects of the shape and the geometry of cylinders and achieves the same results. Random and non-uniform distribution of cylinders within porous media reduces fluid velocity, permeability, tortuosity, and shape factor (p) compared to the uniform models.

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SOUNART, T. L., and J. C. BAYGENTS. "Lubrication theory for electro-osmotic flow in a non-uniform electrolyte." Journal of Fluid Mechanics 576 (March 28, 2007): 139–72. http://dx.doi.org/10.1017/s0022112006003867.

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A lubrication theory has been developed for the electro-osmotic flow of non-uniform buffers in narrow rectilinear channels. The analysis applies to systems in which the transverse dimensions of the channel are large compared with the Debye screening length of the electrolyte. In contrast with related theories of electrokinetic lubrication, here the streamwise variations of the velocity field stem from, and are nonlinearly coupled to, spatiotemporal variations in the electrolyte composition. Spatially non-uniform buffers are commonly employed in electrophoretic separation and transport schemes, including iso-electric focusing (IEF), isotachophoresis (ITP), field-amplified sample stacking (FASS), and high-ionic-strength electro-osmotic pumping. The fluid dynamics of these systems is controlled by a complex nonlinear coupling to the ion transport, driven by an applied electric field. Electrical conductivity gradients, attendent to the buffer non-uniformities, result in a variable electro-osmotic slip velocity and, in electric fields approaching 1 kV cm−1, Maxwell stresses drive the electrohydrodynamic circulation. Explicit semi-analytic expressions are derived for the fluid velocity, stream function, and electric field. The resulting approximations are found to be in good agreement with full numerical solutions for a prototype buffer, over a range of conditions typical of microfluidic systems. The approximations greatly simplify the computational analysis, reduce computation times by a factor 4–5, and, for the first time, provide general insight on the dominant fluid physics of two-dimensional electrically driven transport.

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Muthtamilselvan, M., K. Periyadurai, and Deog Hee Doh. "Effect of mutually orthogonal heated plates on buoyancy convection flow of micropolar fluid in a cavity." International Journal of Numerical Methods for Heat & Fluid Flow 28, no. 9 (September 3, 2018): 2231–51. http://dx.doi.org/10.1108/hff-03-2018-0118.

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Purpose The main purpose of this study is to investigate the natural convection of micropolar fluid in a square cavity with two orthogonal heaters placed inside. The study of natural convection in a two-dimensional enclosure determines the effect of non-uniform heated plate on certain micropolar fluid flows which are found in many engineering applications. Therefore, because of its practical interest in the engineering fields such as building design, cooling of electronic components, melting and solidification process, solar energy systems, solar collectors, liquid crystals, animal blood, colloidal fluids and polymeric fluids, the topic needs to be further explored. Design/methodology/approach The dimensionless governing equations have been solved by finite volume method of the second-order central difference and upwind scheme. Findings The effects of the Rayleigh number, nonuniformity parameter and vortex viscosity parameter on fluid flow and heat transfer have been analyzed. The rate of heat transfer increases with an increase in the aspect ratio of the heated plates for all the values of Rayleigh number and vortex viscosity parameter. The heat transfer rate is reduced with an increase in the vortex viscosity parameter. It is predicted that the non-uniform of the baffle gives better heat transfer than uniform heating. Originality/value The present numerical results were tested against the experimental work. The present results have an excellent agreement with the results obtained by the previous experimental work.

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Mbah, Godwin Christopher Ezike, and Emmanuel Oluwakorede Oshilim. "Pressure Variation in a Fluid Flow over Non-Uniform, Porous Bottom Topography." OALib 07, no. 02 (2020): 1–16. http://dx.doi.org/10.4236/oalib.1106033.

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Shi-Qi, Zhou. "Bridge density functional approximation for non-uniform hard core repulsive Yukawa fluid." Chinese Physics B 17, no. 10 (October 2008): 3812–21. http://dx.doi.org/10.1088/1674-1056/17/10/046.

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Prajapati, R. P. "Rayleigh-Taylor instability in non-uniform magnetized rotating strongly coupled viscoelastic fluid." Physics of Plasmas 23, no. 2 (February 2016): 022106. http://dx.doi.org/10.1063/1.4941593.

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MAI, Jianqiang, Masaaki OKUBO, Yukio ISHIBASHI, Shuzo OSHIMA, and Ryuichiro YAMANE. "Instability of Magnetic Fluid Surface under Horizontal Non-Uniform Alternating Magnetic Field." Transactions of the Japan Society of Mechanical Engineers Series B 66, no. 642 (2000): 398–405. http://dx.doi.org/10.1299/kikaib.66.398.

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Hayat, T., H. Zahir, A. Alsaedi, and B. Ahmad. "Peristaltic flow of rotating couple stress fluid in a non-uniform channel." Results in Physics 7 (2017): 2865–73. http://dx.doi.org/10.1016/j.rinp.2017.08.003.

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Ng, Chiu-On, and Cheng Qi. "Electroosmotic flow of a power-law fluid in a non-uniform microchannel." Journal of Non-Newtonian Fluid Mechanics 208-209 (June 2014): 118–25. http://dx.doi.org/10.1016/j.jnnfm.2014.04.008.

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Selvi, C. K., and A. N. S. Srinivas. "Peristaltic transport of Herschel-Bulkley fluid in a non-uniform elastic tube." Propulsion and Power Research 8, no. 3 (September 2019): 253–62. http://dx.doi.org/10.1016/j.jppr.2018.07.010.

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Asghar, S., and A. Ahmad. "Unsteady Couette flow of viscous fluid under a non-uniform magnetic field." Applied Mathematics Letters 25, no. 11 (November 2012): 1953–58. http://dx.doi.org/10.1016/j.aml.2012.03.008.

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