Journal articles: 'Micropolar fluid'

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Majid, Nurazleen Abdul, Nurul Farahain Mohammad, Abdul Rahman Mohd Kasim, and Sharidan Shafie. "Mixed convection of micropolar fluid on a permeable stretching surface of another quiescent fluid." Malaysian Journal of Fundamental and Applied Sciences 16, no. 4 (August 26, 2020): 487–92. http://dx.doi.org/10.11113/mjfas.v16n4.1728.

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In recent decades, micropolar fluid has been one of the major interesting research subjects due to the numerous applications such as blood, paint, body fluid, polymers, colloidal fluid and suspension fluid. However, the behavior of micropolar fluid flow over a permeable stretching surface of another quiescent fluid with a heavier density of micropolar fluid under the condition of mixed convection is still unknown. Thus, the current work aims to investigate numerically the mixed convection of micropolar fluid flow over a permeable stretching surface of another quiescent fluid. In this research, the similarity transformation is implemented to reduce the boundary layer governing equations from partial differential equations to a system of nonlinear ordinary differential equations. Then, this model is solved numerically using shooting technique with Runge-Kutta-Gill method and applied in Jupyter Notebook using Python 3 language. The behavior of micropolar fluid in terms of velocity, skin friction, microrotation and temperature are analyzed.

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ASADI, H., K. JAVAHERDEH, and S. RAMEZANI. "MICROPOLAR FLUID MODEL FOR BLOOD FLOW THROUGH A STENOSED ARTERY." International Journal of Applied Mechanics 05, no. 04 (December 2013): 1350043. http://dx.doi.org/10.1142/s1758825113500439.

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Various experimental observations have demonstrated that the classical fluid theory is incapable of explaining many phenomena at micro and nano scales. On the other hand, micropolar fluid dynamics can naturally pick up the physical phenomena at these scales owing to its additional degrees of freedom caused by incorporating the effects of fluid molecules on the continuum. Therefore, one of the aims of this paper is to investigate the applicability of the theory of micropolar fluids to modeling and calculating flows in circular microchannels depending on the geometrical dimension of the flow field. Hence, a finite element formulation for the numerical analysis of micropolar laminar fluid flow is developed. In order to validate the results of the FE formulation, the analytical and exact solution of the micropolar Hagen–Poiseuille flow in a circular microchannel is presented, and an excellent agreement between the results of the analytical solution and those of the FE formulation is observed. It is also shown that the micropolar viscosity and the length scale parameter have significant roles on changing the flow characteristics. Then, the behavior of an incompressible viscous fluid flow such as blood flow in a stenosed artery, having multiple kinds of stenoses, is investigated. The obtained results are compared to the results reported in the literature, and an excellent agreement is observed.

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Rahman, M. M., and T. Sultana. "Radiative Heat Transfer Flow of Micropolar Fluid with Variable Heat Flux in a Porous Medium." Nonlinear Analysis: Modelling and Control 13, no. 1 (January 25, 2008): 71–87. http://dx.doi.org/10.15388/na.2008.13.1.14590.

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A two-dimensional steady convective flow of a micropolar fluid past a vertical porous flat plate in the presence of radiation with variable heat flux has been analyzed numerically. Using Darcy-Forchheimer model the corresponding momentum, microrotation and energy equations have been solved numerically. The local similarity solutions for the flow, microrotation and heat transfer characteristics are illustrated graphically for various material parameters. The effects of the pertinent parameters on the local skin friction coefficient, plate couple stress and the heat transfer are also calculated. It was shown that large Darcy parameter leads to decrease the velocity while it increases the angular velocity as well as temperature of the micropolar fluids. The rate of heat transfer in weakly concentrated micropolar fluids is higher than strongly concentrated micropolar fluids.

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Sofiadis, George, and Ioannis Sarris. "Turbulence Intensity Modulation by Micropolar Fluids." Fluids 6, no. 6 (May 22, 2021): 195. http://dx.doi.org/10.3390/fluids6060195.

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Fluid microstructure nature has a direct effect on turbulence enhancement or attenuation. Certain classes of fluids, such as polymers, tend to reduce turbulence intensity, while others, like dense suspensions, present the opposite results. In this article, we take into consideration the micropolar class of fluids and investigate turbulence intensity modulation for three different Reynolds numbers, as well as different volume fractions of the micropolar density, in a turbulent channel flow. Our findings support that, for low micropolar volume fractions, turbulence presents a monotonic enhancement as the Reynolds number increases. However, on the other hand, for sufficiently high volume fractions, turbulence intensity drops, along with Reynolds number increment. This result is considered to be due to the effect of the micropolar force term on the flow, suppressing near-wall turbulence and enforcing turbulence activity to move further away from the wall. This is the first time that such an observation is made for the class of micropolar fluid flows, and can further assist our understanding of physical phenomena in the more general non-Newtonian flow regime.

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Nazeer, Mubbashar, N. Ali, and T. Javed. "Effects of moving wall on the flow of micropolar fluid inside a right angle triangular cavity." International Journal of Numerical Methods for Heat & Fluid Flow 28, no. 10 (October 1, 2018): 2404–22. http://dx.doi.org/10.1108/hff-10-2017-0424.

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Purpose The main purpose of this study is to examine the effects of moving wall on the mixed convection flow and heat transfer in a right-angle triangular cavity filled with a micropolar fluid. Design/methodology/approach It is assumed that the bottom wall is uniformly heated and the right inclined wall is cold, whereas the vertical wall is adiabatic and moving with upward/downward velocity v0/−v0, respectively. The micropolar fluid is considered to satisfy the Boussinesq approximation. The governing equations and boundary conditions are solved using the Galerkin finite element method. The Penalty method is used to eliminate the pressure term from the momentum equations. To accomplish the consistent solution, the value of the penalty parameter is taken 107. The simulations are performed for a wide range of Richardson number, micropolar parameter, Prandtl number and Reynolds number. Findings The results are presented in the form of streamlines, isotherms and variations of average Nusselt number and fluid flow rate depending on the Richardson number, Prandtl number, micropolar parameter and direction of the moving wall. The flow field and temperature distribution in the cavity are affected by these parameters. An average Nusselt number into the cavity in both cases increase with increasing Prandtl and Richardson numbers and decreases with increasing micropolar parameter, and it has a maximum value when the lid is moving in the downward direction for all the physical parameters. Research limitations/implications The present investigation is conducted for the steady, two-dimensional mixed convective flow in a right-angle triangular cavity filled with micropolar fluid. An extension of the present study with the effects of cavity inclination, square cavity, rectangular, trapezoidal and wavy cavity will be the interest of future work. Originality/value This work studies the effects of moving wall, micropolar parameter, Richardson number, Prandtl number and Reynolds number parameter in a right-angle triangular cavity filled with a micropolar fluid on the fluid flow and heat transfer. This study might be useful to flows of biological fluids in thin vessels, polymeric suspensions, liquid crystals, slurries, colloidal suspensions, exotic lubricants, solar engineering for construction of triangular solar collector, construction of thermal insulation structure and geophysical fluid mechanics, etc.

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Naduvinamani, N. B., and S. S. Huggi. "Micropolar fluid squeeze film lubrication of short partial porous journal bearings." Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 223, no. 8 (June 2, 2009): 1179–85. http://dx.doi.org/10.1243/13506501jet627.

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On the basis of Eringen's micropolar fluid theory, a theoretical analysis of hydrodynamic squeeze film behaviour for short partial porous journal bearings lubricated by micropolar fluids is presented in this article. To take into account the micropolar effects because of the lubricant containing additives or suspended particles in a short partial porous journal bearing, the modified Reynolds equation governing the film pressure is derived. Expressions for the squeeze film pressure and load-carrying capacity are obtained. The first-order non-linear equation for the time-height relation is solved numerically by using the Runge—Kutta method. From the results obtained, it is observed that, the effect of micropolar fluid is to increase the load-carrying capacity and to lengthen the squeeze film time as compared to the corresponding Newtonian case. The effect of permeability is to reduce the load-carrying capacity and the squeeze film time as compared to the corresponding solid case.

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Kucaba-Piętal, A. "Squeeze flow modeling with the use of micropolar fluid theory." Bulletin of the Polish Academy of Sciences Technical Sciences 65, no. 6 (December 1, 2017): 927–33. http://dx.doi.org/10.1515/bpasts-2017-0100.

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AbstractThe aim of this paper is to study the applicability of micropolar fluid theory to modeling and to calculating tribological squeeze flow characteristics depending on the geometrical dimension of the flow field. Based on analytical solutions in the lubrication regime of squeeze flow between parallel plates, calculations of the load capacity and time required to squeeze the film are performed and compared – as a function of the distance between the plates – for both fluid models: the micropolar model and the Newtonian model. In particular, maximum distance between the plates for which the micropolar effects of the fluid become significant will be established. Values of rheological constants of the fluids, both those experimentally determined and predicted by means of using equilibrium molecular dynamics, have been used in the calculations. The same analysis was performed as a function of dimensionless microstructural parameters.

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Srinivas, J., J. V. Ramana Murthy, and Ali J. Chamkha. "Analysis of entropy generation in an inclined channel flow containing two immiscible micropolar fluids using HAM." International Journal of Numerical Methods for Heat & Fluid Flow 26, no. 3/4 (May 3, 2016): 1027–49. http://dx.doi.org/10.1108/hff-09-2015-0354.

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Purpose – The purpose of this paper is to examine the flow, heat transfer and entropy generation characteristics for an inclined channel of two immiscible micropolar fluids. Design/methodology/approach – The flow region consists of two zones, the flow of the heavier fluid taking place in the lower zone. The flow is assumed to be governed by Eringen’s micropolar fluid flow equation. The resulting governing equations are then solved using the homotopy analysis method. Findings – The following findings are concluded: first, the entropy generation rate is more near the plates in both the zones as compared to that of the interface. This indicates that the friction due to surface on the fluids increases entropy generation rate. Second, the entropy generation rate is more near the plate in Zone I than that of Zone II. This may be due to the fact that the fluid in Zone I is more viscous. This indicates the more the viscosity of the fluid is, the more the entropy generation. Third, Bejan number is the maximum at the interface of the fluids. This indicates that the amount of exergy (available energy) is maximum and irreversibility is minimized at the interface between the fluids. Fourth, as micropolarity increases, entropy generation rate near the plates decreases and irreversibility decreases. This indicates an important industrial application for micropolar fluids to use them as a good lubricant. Originality/value – The problem is original as no work has been reported on entropy generation in an inclined channel with two immiscible micropolar fluids.

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9

Reddy, M. Gnaneswara. "Magnetohydrodynamics and Radiation Effects on Unsteady Convection Flow of Micropolar Fluid Past a Vertical Porous Plate with Variable Wall Heat Flux." ISRN Thermodynamics 2012 (July 5, 2012): 1–8. http://dx.doi.org/10.5402/2012/146263.

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An analysis is presented for the problem of the unsteady two-dimensional laminar flow of a viscous incompressible micropolar fluid past a vertical porous plate in the presence of a transverse magnetic field and thermal radiation with variable heat flux. The free stream velocity follows an exponentially increasing or decreasing small perturbation law. A uniform magnetic field acts perpendicularly to the porous surface in which it absorbs the micropolar fluid with a suction velocity varying with time. The Rosseland approximation is used to describe radiative heat transfer in the limit of optically thick fluids. The effects of flow parameters and thermophysical properties on the flow temperature fields across the boundary layer are investigated. The method of solution can be applied for small perturbation approximation. Numerical results of velocity profiles of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid. Also, the results of the skin-friction coefficient and the couple stress coefficient at the wall are prepared with various values of the fluid properties.

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KIM, YOUN J. "FLOW CHARACTERISTIC OF AN ELECTRICALLY CONDUCTING MICROPOLAR FLUID OVER A MOVING POROUS PLATE." Functional Materials Letters 01, no. 01 (June 2008): 83–89. http://dx.doi.org/10.1142/s1793604708000150.

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An analysis is presented for the problem of unsteady two-dimensional laminar flow of a viscous incompressible electrically conducting micropolar fluid over a semi-infinite vertical moving porous plate in the presence of a transverse magnetic field. Especially, the effect of non-zero values of the micro-gyration vector on the velocity and temperature fields across the boundary layer are investigated, using the method of small perturbation approximation. Numerical results of velocity profiles of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid. The results show that the effect of increasing values of the micropolar parameter results in decreasing skin friction. It is also observed that the skin friction decreases by increasing the plate moving velocity.

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11

ASADI, H., K. JAVAHERDEH, and S. RAMEZANI. "FINITE ELEMENT SIMULATION OF MICROPOLAR FLUID FLOW IN THE LID-DRIVEN SQUARE CAVITY." International Journal of Applied Mechanics 05, no. 04 (December 2013): 1350045. http://dx.doi.org/10.1142/s1758825113500452.

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The micropolar fluid theory augments the laws of classical continuum mechanics by incorporating the effects of fluid molecules on the continuum. So, the micropolar theory has been able to explain many phenomena at micro and nano scales. In this paper, a finite element formulation for the numerical analysis of micropolar laminar fluid flow is developed. In order to validate the results of the FE formulation, analytical solution of the Poiseuille flow of micropolar fluid in a microchannel is presented, and an excellent agreement between the results of the analytical solution and those of the FE formulation is observed. It is shown that the micropolar viscosity and the length scale parameter have significant roles on changing the flow characteristics. Then, the behavior of an incompressible viscous fluid flow in a lid-driven square cavity is investigated. The obtained results are compared to the results reported in the literature, and an excellent agreement is observed.

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12

Siddiqui, Abuzar A., and Akhlesh Lakhtakia. "Steady electro-osmotic flow of a micropolar fluid in a microchannel." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2102 (October 28, 2008): 501–22. http://dx.doi.org/10.1098/rspa.2008.0354.

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We have formulated and solved the boundary-value problem of steady, symmetric and one-dimensional electro-osmotic flow of a micropolar fluid in a uniform rectangular microchannel, under the action of a uniform applied electric field. The Helmholtz–Smoluchowski equation and velocity for micropolar fluids have also been formulated. Numerical solutions turn out to be virtually identical to the analytic solutions obtained after using the Debye–Hückel approximation, when the microchannel height exceeds the Debye length, provided that the zeta potential is sufficiently small in magnitude. For a fixed Debye length, the mid-channel fluid speed is linearly proportional to the microchannel height when the fluid is micropolar, but not when the fluid is simple Newtonian. The stress and the microrotation are dominant at and in the vicinity of the microchannel walls, regardless of the microchannel height. The mid-channel couple stress decreases, but the couple stress at the walls intensifies, as the microchannel height increases and the flow tends towards turbulence.

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Siddheshwar, Pradeep G., and S. Pranesh. "Magnetoconvection in a micropolar fluid." International Journal of Engineering Science 36, no. 10 (August 1998): 1173–81. http://dx.doi.org/10.1016/s0020-7225(98)00013-5.

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Faltas, M. S., H. H. Sherief, E. A. Ashmawy, and M. G. Nashwan. "Unsteady unidirectional micropolar fluid flow." Theoretical and Applied Mechanics Letters 1, no. 6 (2011): 062005. http://dx.doi.org/10.1063/2.1106205.

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Ortega-Torres, E., E. J. Villamizar-Roa, and M. A. Rojas-Medar. "Micropolar Fluids with Vanishing Viscosity." Abstract and Applied Analysis 2010 (2010): 1–18. http://dx.doi.org/10.1155/2010/843692.

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A study of the convergence of weak solutions of the nonstationary micropolar fluids, in bounded domains of , when the viscosities tend to zero, is established. In the limit, a fluid governed by an Euler-like system is found.

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Dang, Song Yang, Hong Yu Xu, Qing Yong Sun, and Bin Liang. "Propagation Characteristics of Coupled Wave through Micropolar Fluid Interlayer in Micropolar Elastic Solid." Advanced Materials Research 721 (July 2013): 729–32. http://dx.doi.org/10.4028/www.scientific.net/amr.721.729.

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Based on micropolar fluid theory and micropolar solid elasticity theory, reflection and transmission characteristics of longitudinal displacement wave and two coupled waves were studied when incident coupled wave propagated through micropolar fluid interlayer in micropolar elastic solid. Using numerical example, the rules of the reflection waves and refraction waves amplitudes varied with incident angle are also discussed. Results show that there exist extremum values of reflection and transmission coefficient for coupled wave. There are two peaks and one zero value of transmission coefficient for longitudinal displacement wave.

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Usman, M. Ijaz Khan, Sami Ullah Khan, Abuzar Ghaffari, Yu-Ming Chu, and Shahid Farooq. "A higher order slip flow of generalized Micropolar nanofluid with applications of motile microorganisms, nonlinear thermal radiation and activation energy." International Journal of Modern Physics B 35, no. 07 (March 20, 2021): 2150095. http://dx.doi.org/10.1142/s0217979221500958.

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This communication aims to develop the thermal flow model for generalized micropolar nanofluid with insensitive applications of bioconvection, activation energy and nonlinear thermal radiation. The generalized micropolar fluid model is the extension of traditional micropolar fluid model with viscoelastic relations. The viscous nature of non-Newtonian micropolar material can be successfully predicted with help of this model. The motivating idea for considering the motile microorganisms is to control the nanoparticles suspension effectively. The higher order slip relations are incorporated to examine the bio-convective phenomenon. The simplified coupled equations in terms of non-dimensional variables are numerically treated with shooting scheme. The reliable graphical outcomes are presented for flow parameters governed to the transported problem. The flow pattern of each parameter is highlighted in view of viscous nature of micropolar fluid.

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Yamazaki, Kazuo. "Large deviation principle for the micropolar, magneto-micropolar fluid systems." Discrete & Continuous Dynamical Systems - B 23, no. 2 (2018): 913–38. http://dx.doi.org/10.3934/dcdsb.2018048.

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Prasad, M. Krishna, and Manpreet Kaur. "Stokes Flow of Viscous Fluid Past a Micropolar Fluid Spheroid." Advances in Applied Mathematics and Mechanics 9, no. 5 (July 11, 2017): 1076–93. http://dx.doi.org/10.4208/aamm.2015.m1200.

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AbstractThe Stokes axisymmetric flow of an incompressible viscous fluid past a micropolar fluid spheroid whose shape deviates slightly from that of a sphere is studied analytically. The boundary conditions used are the vanishing of the normal velocities, the continuity of the tangential velocities, continuity of shear stresses and spin-vorticity relation at the surface of the spheroid. The hydrodynamic drag force acting on the fluid spheroid is calculated. An exact solution of the problem is obtained to the first order in the small parameter characterizing the deformation. It is observed that due to increase spin parameter value, the drag coefficient decreases. Well known results are deduced and comparisons are made with classical viscous fluid and micropolar fluid.

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Sun, Qing Yong, Hong Yu Xu, and Bin Liang. "Propagation Characteristics of Longitudinal Displacement Wave in Micropolar Fluid with Micropolar Elastic Plate." Materials Science Forum 694 (July 2011): 923–27. http://dx.doi.org/10.4028/www.scientific.net/msf.694.923.

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Based on micropolar fluid theory and micropolar solid elasticity theory, reflection and transmission characteristics of three kinds of micropolar elastic waves, which are longitudinal displacement wave and two coupled waves, were studied when incident longitudinal displacement wave propagated in micropolar fluid with micropolar elastic plate. Using numerical example, the variations of various amplitudes are also shown against the angle of incidence and the variation characteristics of various amplitudes are discussed. Results show that there exist maximum values of reflection and transmission coefficient for coupled wave, however, there exist minimum values of reflection coefficient for longitudinal displacement wave, and transmission coefficient decreases with the incident angle and the transmission coefficient are smaller for bigger incident angle.

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Sharma, Ramprakash, and Abhay Kumar Jha. "Heat Transfer in MHD Micropolar Fluid Flow Past a Vertical Plate in Slip-Flow Regime." Mapana - Journal of Sciences 11, no. 3 (August 20, 2012): 179–91. http://dx.doi.org/10.12723/mjs.22.12.

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We consider unsteady flow of a micropolar fluid through a porous medium bounded by a semi-infinite vertical plate in slip-flow regime. A uniform magnetic field acts perpendicular to the porous surface which absorbs the micropolar fluids with a suction velocity varying with time. The free stream velocity follows an exponentially increasing or decreasing small perturbation law. Using approximate method the expression for the velocity microrotation, and temperature are obtained.

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Srivastava, Neetu. "MHD Flow of the Micropolar Fluid between Eccentrically Rotating Disks." International Scholarly Research Notices 2014 (September 3, 2014): 1–7. http://dx.doi.org/10.1155/2014/317075.

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This analytical investigation examines the magnetohydrodynamic flow problem of an incompressible micropolar fluid between the two eccentrically placed disks. Employing suitable transformations, the flow governing partial differential equations is reduced to ordinary differential equations. An exact solution representing the different flow characteristic of micropolar fluid has been derived by solving the ordinary differential equations. Analysis of the flow characteristics of the micropolar fluid has been done graphically by varying the Reynolds number and the Hartmann number. This analysis has been carried out for the weak and strong interactions.

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Manser, Belkacem, Idir Belaidi, Sofiane Khelladi, Mohamed A. Ait Chikh, Michael Deligant, and Farid Bakir. "Computational investigation on the performance of hydrodynamic micro-textured journal bearing lubricated with micropolar fluid using mass-conserving numerical approach." Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 234, no. 8 (December 15, 2019): 1310–31. http://dx.doi.org/10.1177/1350650119894167.

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The tribological characteristic of journal bearing systems can be enhanced with the integrating of textures in the contact interfaces, or using the lubricating effect of non-Newtonian fluids. In this study, the combined effects of bearing surface texturing and non-Newtonian lubricants behavior, using micropolar fluid model, on static characteristics of hydrodynamic circular journal bearings of finite length are highlighted. The modified Reynolds equation of micropolar lubrication theory is solved using finite differences scheme and Elrod's mass conservation algorithm, taking into account the presence of the cylindrical texture shape on full and optimum bearing surfaces. The optimization textured area is carried out through particle swarm optimization algorithm, in order to increase the load lifting capacity. Preliminary results are in good agreement with the reference ones, and present an enhancement in the performances of micro-textured journal bearings (load carrying capacity and friction). The results suggest that texturing the bearing convergent zone significantly increases the load carrying capacity and reduce friction coefficient, while fully texturing causes bad performances. It is also shown that the micropolar fluids exhibit better performances for smooth journal bearings than a Newtonian fluid depending on the size of material characteristic length and the coupling number. The combined effects of fully surface textured with micropolar fluids reduce the performance of journal bearing, especially at lower eccentricity ratios. Considering the optimal arrangement of textures on the contact surface, a significant improvement in terms of load capacity and friction can be achieved, particularly at high eccentricity ratios, high material characteristic lengths and high values of the coupling numbers of micropolar fluids.

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Yadav, Pramod Kumar, and Sneha Jaiswal. "Influence of an inclined magnetic field on the Poiseuille flow of immiscible micropolar–Newtonian fluids in a porous medium." Canadian Journal of Physics 96, no. 9 (September 2018): 1016–28. http://dx.doi.org/10.1139/cjp-2017-0998.

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The present problem is concerned with two-phase fluid flow through a horizontal porous channel in the presence of uniform inclined magnetic field. The micropolar fluid or Eringen fluid and Newtonian viscous fluid are flowing in the upper and lower regions of the horizontal porous channel, respectively. In this paper, the permeability of each region of the horizontal porous channel has been taken to be different. The effects of various physical parameters like angles of inclination of magnetic field, viscosity ratio, micropolarity parameter, etc., on the velocities, micro-rotational velocity of two immiscible fluids in horizontal porous channel, wall-shear stress, and flow rate have been discussed. The result obtained for immiscible micropolar–Newtonian fluids are compared with the results of two immiscible Newtonian fluids. The obtained result may be used in production of oil from oil reservoirs, purification of contaminated ground water, etc.

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Ibrahim, F. S., I. A. Hassanien, and A. A. Bakr. "Unsteady magnetohydrodynamic micropolar fluid flow and heat transfer over a vertical porous plate through a porous medium in the presence of thermal and mass diffusion with a constant heat source." Canadian Journal of Physics 82, no. 10 (October 1, 2004): 775–90. http://dx.doi.org/10.1139/p04-021.

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In this work, the effects of a temperature-dependent heat source on the hydromagnetic free-convective flow (set up due to temperature as well as species concentration) of an electrically conducting micropolar fluid past a steady vertical porous plate through a highly porous medium has been analyzed when the free stream oscillates in magnitude. A uniform magnetic field acts perpendicularly to the porous surface, which absorbs the micropolar fluid with constant suction velocity. The method of solution can be applied for a small perturbation approximation. The numerical results of velocity and temperature distributions of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid. The effects of the material parameters on velocity, angular momentum, concentration, and temperature fields across the boundary layer are investigated. In addition, the skin-friction coefficient and Nusselt number are shown in tabular form.PACS Nos.: 44.05.+e, 44.30.+v, 47.11.+j, 47.27.Te, 47.55.Mh, 47.65.+a, 47.50.+d

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Prasad, Madasu Krishna. "Cell Models for Non-Newtonian Fluid Past a Semipermeable Sphere." International Journal of Mathematical, Engineering and Management Sciences 4, no. 6 (December 1, 2019): 1352–61. http://dx.doi.org/10.33889/ijmems.2019.4.6-106.

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This paper is focused on investigating the boundary effects of the steady translational motion of a semipermeable sphere located at the center of a spherical envelope filled with an incompressible micropolar fluid. Stokes equations of micropolar fluid are employed inside the spherical envelope and Darcy’s law governs in semipermeable region. On the surface of semipermeable sphere, the boundary conditions used are continuity of normal velocity, vanishing of tangential velocity of micropolar fluid, and continuity of pressure. On the surface of the spherical envelope, the Happel’s, Kuwabara’s, Kvashnin’s, and Cunningham’s boundary conditions, are used along with no spin boundary condition. The expression for the hydrodynamic normalized drag force acting on the semipermeable sphere is obtained. The limiting cases of drag expression exerted on the semipermeable sphere and impermeable solid sphere in cell models filled with Newtonian fluid are obtained. Also, in absence of envelope, the drag expression for the micropolar fluid past a semipermeable sphere is obtained.

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Lin, Jaw-Ren, Chia-Chuan Kuo, Won-Hsion Liao, and Ching-Been Yang. "Non-Newtonian Micropolar Fluid Squeeze Film Between Conical Plates." Zeitschrift für Naturforschung A 67, no. 6-7 (July 1, 2012): 333–37. http://dx.doi.org/10.5560/zna.2012-0036.

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By applying the micropolar fluid model of Eringen (J. Math. Mech. 16, 1 (1966) and Int. J. Mech. Sci. 31, 605 (1993)), the squeeze film lubrication problems between conical plates are extended in the present paper. A non-Newtonian modified Reynolds equation is derived and applied to obtain the solution of squeeze film characteristics. Comparing with the traditional Newtonian case, the non-Newtonian effects of micropolar fluids are found to enhance the load capacity and lengthen the approaching time of conical plates. Some numerical results are also provided in tables for engineer applications

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Goel, Rohit, and Pushpendra Kumar Vashishtha. "On The Stability of Rayleigh – Benard Convection in A Micropolar Fluid." Paripex - Indian Journal Of Research 3, no. 5 (January 15, 2012): 1–2. http://dx.doi.org/10.15373/22501991/may2014/89.

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Hasnain, Jafar, and Zaheer Abbas. "Entropy generation analysis on two-phase micropolar nanofluids flow in an inclined channel with convective heat transfer." Thermal Science 23, no. 3 Part B (2019): 1765–77. http://dx.doi.org/10.2298/tsci170715221h.

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This article deals the entropy generation due to mixed convective flow of two nonmiscible and electrically conducting fluids streaming through an inclined channel by considering convective boundary conditions at the walls of channel. Micropolar fluid is flowing adjacent to the upper wall of the channel and fluid flowing between the non- Newtonain fluid layer and lower plate of channel is water based nanofluid. The transformed dimensionless coupled equations are solved numerically via shooting technique. The numerical results are plotted to analyze the effects of various emerging parameters. This study shows that an increase in magnetic parameter and Brinkman number causes an increase in entropy generation whereas entropy generation reduces with increase in micropolar parameter and nanoparticle volume fraction.

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Tang, Zhihao, Gang Wang, and Haiwa Guan. "A Regularity Criterion for the Magneto-Micropolar Fluid Equations inB˙∞,∞−1." Discrete Dynamics in Nature and Society 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/676353.

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The paper is dedicated to study of the Cauchy problem for the magneto-micropolar fluid equations in three-dimensional spaces. A new logarithmically improved regularity criterion for the magneto-micropolar fluid equations is established in terms of the pressure in the homogeneous Besov spaceB˙∞,∞−1.

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Kaur, H., and G. N. Verma. "Electro-Hydrodynamic Convection in a Rotating Dielectric Micropolar Fluid Layer." International Journal of Applied Mechanics and Engineering 24, no. 4 (November 1, 2019): 106–24. http://dx.doi.org/10.2478/ijame-2019-0052.

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Abstract Thermal convection of a rotating dielectric micropolar fluid layer under the action of an electric field and temperature gradient has been investigated. The dispersion relation has been derived using normal mode analysis. The effects of the electric Rayleigh number, micropolar viscosity, Taylor number and Prandtl number on stability and over stability criteria are discussed. It is found that rotation postpones the instability in the fluid layer, while the Prandtl number and rotation both have a stabilizing effect. It is also observed that the micropolar fluid additives have a stabilizing effect, whereas the electric field has a destabilizing effect on the onset of convection stability.

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32

Sherief, H. H., M. S. Faltas, and S. El-Sapa. "Pipe flow of magneto-micropolar fluids with slip." Canadian Journal of Physics 95, no. 10 (October 2017): 885–93. http://dx.doi.org/10.1139/cjp-2016-0508.

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The steady unidirectional flow of an isothermal, incompressible, magneto-micropolar hydrodynamic fluid in an infinitely magnetic insulating circular cylinder is considered. The fluid is under a constant magnetic field perpendicular to the axis of the cylinder. The slip boundary conditions for velocity and microrotation are applied. Closed forms for the velocity, microrotation, and magnetic field are obtained for Poiseuille and Couette flows. Expressions for the rate of flow and skin coefficients are calculated. Variations of the physical quantities with respect to micropolarity parameter, slip parameters, and Hartman number are studied and their variations are illustrated graphically. Similar results are obtained for electro- micropolar fluids.

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33

Rao, P. S., Birendra Murmu, and Santosh Agarwal. "Effects of Surface Roughness and Non-Newtonian Micropolar Fluid Squeeze Film between Conical Bearings." Zeitschrift für Naturforschung A 72, no. 12 (November 27, 2017): 1151–58. http://dx.doi.org/10.1515/zna-2017-0257.

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AbstractBased on the micropolar fluid models of Eringen and Christensen’s stochastic theories, the analysis of the effects of surface roughness and the squeeze film lubrication problems between conical bearings are presented. The concerned nondimensional Reynolds equation is solved with appropriate boundary conditions in dimensionless form to find the pressure distribution, which is then used to obtain the expression for load-carrying capacity, paving the way for the calculation of response time. Computed values of pressure, load capacity, and response time are displayed in graphical form. This investigation reveals that the bearing system admits an improved performance as compared with that of a bearing system working with a conventional lubricant. According to the results, the effects of transverse roughness provide an increase in the bearing characteristics as compared with the smooth bearing lubricated with micropolar fluid whereas the influences of longitudinal roughness yield a reversed trend. The quantifiable effects of rough surfaces and non-Newtonian fluids on bearing performances are more pronounced for the roughness and micropolar parameters.

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34

Jia, Yan, Jing Zhang, and Bo-Qing Dong. "Logarithmical Regularity Criteria of the Three-Dimensional Micropolar Fluid Equations in terms of the Pressure." Abstract and Applied Analysis 2012 (2012): 1–13. http://dx.doi.org/10.1155/2012/395420.

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This paper is devoted to the regularity criterion of the three-dimensional micropolar fluid equations. Some new regularity criteria in terms of the partial derivative of the pressure in the Lebesgue spaces and the Besov spaces are obtained which improve the previous results on the micropolar fluid equations.

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35

Łukaszewicz, Grzegorz. "Asymptotic behavior of micropolar fluid flows." International Journal of Engineering Science 41, no. 3-5 (March 2003): 259–69. http://dx.doi.org/10.1016/s0020-7225(02)00208-2.

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36

Brutyan, M. A., and V. E. Kovalev. "VORTEX FLOWS OF A MICROPOLAR FLUID." TsAGI Science Journal 41, no. 4 (2010): 437–49. http://dx.doi.org/10.1615/tsagiscij.v41.i4.60.

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37

DELHOMMELLE, JEROME, and DENIS J. EVANS. "Poiseuille flow of a micropolar fluid." Molecular Physics 100, no. 17 (September 10, 2002): 2857–65. http://dx.doi.org/10.1080/00268970210145320.

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Kocić, Miloš, Živojin Stamenković, Jelena Petrović, and Milica Nikodijević. "CONTROL OF MHD MICROPOLAR FLUID FLOW." Facta Universitatis, Series: Automatic Control and Robotics 18, no. 3 (January 27, 2020): 163. http://dx.doi.org/10.22190/fuacr1903163k.

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In this paper, the steady flow and heat transfer of an incompressible electrically conducting micropolar fluid through a parallel plate channel is investigated. The upper and lower plate have been kept at the two constant different temperatures and the plates are electrically insulated. The applied magnetic field is perpendicular to the flow, while the Reynolds number is significantly lower than one i.e. the considered problem is in induction-less approximation. The general equations that describe the discussed problem under the adopted assumptions are reduced to ordinary differential equations and closed-form solutions are obtained. The influences of each of the governing parameters on velocity, heat transfer on the plates (Nusselt number), flow rate and skin friction are discussed with the aid of graphs.

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39

Lindsay, K. A., and B. Straughan. "Penetrative convection in a micropolar fluid." International Journal of Engineering Science 30, no. 12 (December 1992): 1683–702. http://dx.doi.org/10.1016/0020-7225(92)90088-x.

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40

Hayat, Tasawar, Muhammad Nawaz, and Awatif A. Hendi. "Flow of Magnetohydrodynamic Micropolar Fluid Induced by Radially Stretching Sheets." Zeitschrift für Naturforschung A 66, no. 1-2 (February 1, 2011): 53–60. http://dx.doi.org/10.1515/zna-2011-1-209.

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We investigate the flow of a micropolar fluid between radial stretching sheets. The magnetohydrodynamic (MHD) nonlinear problem is treated using the homotopy analysis method (HAM) and the velocity profiles are predicted for the pertinent parameters. The values of skin friction and couple shear stress coefficients are obtained for various values of Reynolds number, Hartman number, and micropolar fluid parameter.

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41

Dang, Song Yang, Hong Yu Xu, Qing Yong Sun, and Bin Liang. "Reflection and Transmission of Longitudinal Displacement Wave through Micropolar Fluid Interlayer in Micropolar Solid." Applied Mechanics and Materials 438-439 (October 2013): 408–12. http://dx.doi.org/10.4028/www.scientific.net/amm.438-439.408.

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Based on micropolar fluid theory and micropolar solid elasticity theory, reflection and transmission characteristics of longitudinal displacement wave and two coupled waves are studied when incident longitudinal displacement plane wave propagates through micropolar fluid interlayer in micropolar solid. Theoretical and numerical analytical results reveal that in general the amplitude ratios of various reflected and transmitted waves are functions of the incidence angle, the frequency of the incident wave and the material properties of the medium. At normal incidence, the reflection and transmission of only longitudinal waves take place and no coupled transverse wave is found to reflect or transmit. At grazing incidence, no reflection or transmission phenomena take place and the same wave propagates along the interface. The change rules of the amplitudes varied with incident angle are also discussed.

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42

Budheeja, Kamal, and Suresh Verma. "Nonlinear transient analysis of hole-entry journal bearing with constant flow of micropolar fluids." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 1 (February 12, 2018): 350–68. http://dx.doi.org/10.1177/0954406218756942.

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The present work deals with study and analysis of a symmetric hybrid journal bearing compensated with constant flow valve restrictor operating with micropolar fluid from stability point of view. The effect of micropolar parameters on the stability of this journal bearing system is presented on the basis of nonlinear transient model. Finite element method has been used to solve modified Reynolds’ equation for the flow of micropolar fluid through the bearing. Computations are done for the static and dynamic characteristics of hole-entry hybrid journal bearing system. The stability characteristics in terms of critical mass of journal, threshold speed, and frequency of whirl are obtained for journal bearing system operating with Newtonian and micropolar fluids and are compared together. Paths of the journal center in the form of trajectories have also been plotted using the journal center coordinates obtained after solving nonlinear equation of motion by fourth-order Runge–Kutta method to find the stability margin of the considered bearing configuration more precisely and easily. Results indicate that micropolar effect causes significant increase in stability margin of the hybrid journal bearing system especially at higher loads. The results also indicate that lubricant flow through the bearing and type of lubricant should be decided in an appropriate manner for the stability of the constant flow valve compensated hybrid journal bearing system.

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43

Papautsky, Ian, John Brazzle, Timothy Ameel, and A. Bruno Frazier. "Laminar fluid behavior in microchannels using micropolar fluid theory." Sensors and Actuators A: Physical 73, no. 1-2 (March 1999): 101–8. http://dx.doi.org/10.1016/s0924-4247(98)00261-1.

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44

Naduvinamani, N. B., and Archana K. Kadadi. "Effect of Viscosity Variation on the Micropolar Fluid Squeeze Film Lubrication of a Short Journal Bearing." Advances in Tribology 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/743987.

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A theoretical study of the effect of the viscosity variation on the squeeze film performance of a short journal bearing operating with micropolar fluid is presented. The modified Reynolds equation accounting for the viscosity variation in micropolar fluid is mathematically derived. To obtain a closed form solution, the short bearing approximation under constant load is considered. The modified Reynolds equation is solved for the fluid film pressure and then the bearing characteristics, such as obtaining the load carrying capacity and the squeeze film time. According to the results evaluated, the micropolar fluid as a lubricant improves the squeeze film characteristics and results in a longer bearing life, whereas the viscosity variation factor decreases the load carrying capacity and squeezes film time. The result is compared with the corresponding Newtonian case.

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45

Deo, Satya, and Pankaj Shukla. "Creeping flow of Micropolar fluid past a fluid sphere with non-zero spin boundary condition." International Journal of Engineering & Technology 1, no. 2 (May 10, 2012): 67. http://dx.doi.org/10.14419/ijet.v1i2.5.

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Abstract: This paper concerns the problem of creeping flow of an incompressible micropolar fluid past a fluid sphere with non-homogeneous boundary condition for micro rotation vector i.e. the micro rotation on the boundary of the fluid sphere is assumed to be proportional to the rotation rate of the velocity field on the boundary. The stream functions are determined by matching the solution of micropolar field equation for flow outside the fluid sphere with that of the Stokes equation for the flow inside the fluid sphere. The drag force experienced by a fluid sphere is evaluated and its variation is studied with respect to the material parameters. Some well-known results are then deduced.

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Prasad, K. M., and G. Radhakrishnamacharya. "Effect of Peripheral Layer on Peristaltic Transport of a Micropolar Fluid." Nonlinear Analysis: Modelling and Control 14, no. 1 (January 20, 2009): 103–13. http://dx.doi.org/10.15388/na.2009.14.1.14534.

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Peristaltic transport of two fluid model with micropolar fluid in the core region and Newtonian fluid in the peripheral layer is studied under the assumptions of long wavelength and low Reynolds number. The linearised equations governing the flow are solved and closed form expressions for pressure rise, time averaged flux and frictional force have been obtained. The effects of various parameters on these flow variables have been studied. It is found that the pressure rise increases with micropolar parameter (m) and central mean radius (η), but decreases with coupling number (N) and viscosity ratio (µ¯). The frictional force (F¯) decreases with coupling number (N) and viscosity ratio (µ¯) but increases with micropolar parameter (m) and mean radius of central layer (η).

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47

Ahmad, Farooq, A. Othman Almatroud, Sajjad Hussain, Shan E. Farooq, and Roman Ullah. "Numerical Solution of Nonlinear Diff. Equations for Heat Transfer in Micropolar Fluids over a Stretching Domain." Mathematics 8, no. 5 (May 25, 2020): 854. http://dx.doi.org/10.3390/math8050854.

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A numerical study based on finite difference approximation is attempted to analyze the bulk flow, micro spin flow and heat transfer phenomenon for micropolar fluids dynamics through Darcy porous medium. The fluid flow mechanism is considered over a moving permeable sheet. The heat transfer is associated with two different sets of boundary conditions, the isothermal wall and isoflux boundary. On the basis of porosity of medium, similarity functions are utilized to avail a set of ordinary differential equations. The non-linear coupled ODE’s have been solved with a very stable and reliable numerical scheme that involves Simpson’s Rule and Successive over Relaxation method. The accuracy of the results is improved by making iterations on three different grid sizes and higher order accuracy in the results is achieved by Richardson extrapolation. This study provides realistic and differentiated results with due considerations of micropolar fluid theory. The micropolar material parameters demonstrated reduction in the bulk fluid speed, thermal distribution and skin friction coefficient but increase in local heat transfer rate and couple stress. The spin behavior of microstructures is also exhibited through microrotation vector N ( η ) .

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48

Hassanien, I. A. "Mixed Convection in Micropolar Boundary-Layer Flow Over a Horizontal Semi-Infinite Plate." Journal of Fluids Engineering 118, no. 4 (December 1, 1996): 833–38. http://dx.doi.org/10.1115/1.2835517.

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A boundary layer analysis is presented to study the effects of buoyancy-induced streamwise pressure gradients on laminar forced convection heat transfer to micropolar fluids from a horizontal semi-infinite flat plate. The transformed boundary-layer equations have been solved numerically. The effects of the buoyancy force, material parameters, and viscous dissipative heat on the friction factor, total heat transfer, displacement thickness, and wall couple stress, as well as the details of the velocity, microrotation, and temperature fields are discussed. A comparison has been made with the corresponding results for Newtonian fluids. Micropolar fluids display drag reduction and reduced heat transfer rate as compared with Newtonian fluids. Also the micropolar properties of the fluid are found to play an important role in controlling flow separation. Furthermore, it is observed that, for high values of the buoyancy and material parameters, the flow and thermal fields are significantly affected by the presence of viscous dissipation heat.

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49

Fomicheva, Mariia, Wolfgang H. Müller, Elena N. Vilchevskaya, and Nikolay Bessonov. "FUNNEL FLOW OF A NAVIER-STOKES-FLUID WITH POTENTIAL APPLICATIONS TO MICROPOLAR MEDIA." Facta Universitatis, Series: Mechanical Engineering 17, no. 2 (July 26, 2019): 255. http://dx.doi.org/10.22190/fume190401029f.

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In this paper foundations are laid for a future solution of a fully coupled flow problem for the micropolar medium undergoing structural change in a funnel-shaped crusher. Initially the fundamental equations of micropolar media are revisited and the problem of structural changes of micropolar media moving in a crusher is explained. Then a review of the current state-of-the-art is presented and a necessary extension of the problem is motivated. The need for using numerical methods of fluid mechanics is emphasized. As a prerequisite for the study of the fully coupled initial boundary value 2D-flow problem of a micropolar fluid the funnel flow of a Navier-Stokes fluid is investigated based on an implicit finite difference scheme using the Thomas algorithm. Numerical results for velocities, stresses, and for the pressure dependence of the funnel flow are presented. The correctness of the algorithm is checked by specializing to the case of a flow through a tunnel of constant cross-section under the influence of gravity, for which an analytical solution is available.

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50

Rup, Kazimierz, and Agata Dróżdż. "The effect of reduced heat transfer in a micropolar fluid in natural convection." Archives of Thermodynamics 34, no. 3 (September 1, 2013): 45–59. http://dx.doi.org/10.2478/aoter-2013-0014.

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Abstract This paper presents the numerical solution to the unsteady natural convection problem in micropolar fluid in the vicinity of a vertical plate, heat flux of which rises suddenly at a given moment. In order to solve this problem the method of finite differences was applied. The numerical results have been presented for a range of values of the dimensionless material properties and fluid Prandtl number. The analysis of the results shows that the intensity of the heat transfer in micropolar fluid is lower compared to the Newtonian fluid.

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Journal articles on the topic 'Micropolar fluid'

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