Academic literature on the topic 'Micropolar fluid'

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Journal articles on the topic "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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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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Dissertations / Theses on the topic "Micropolar fluid"

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Gumgum, Sevin. "The Dual Reciprocity Boundary Element Method Solution Of Fluid Flow Problems." Phd thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12611605/index.pdf.

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In this thesis, the two-dimensional, transient, laminar flow of viscous and incompressible fluids is solved by using the dual reciprocity boundary element method (DRBEM). Natural convection and mixed convection flows are also solved with the addition of energy equation. Solutions of natural convection flow of nanofluids and micropolar fluids in enclosures are obtained for highly large values of Rayleigh number. The fundamental solution of Laplace equation is used for obtaining boundary element method (BEM) matrices whereas all the other terms in the differential equations governing the flows are considered as nonhomogeneity. This is the main advantage of DRBEM to tackle the nonlinearities in the equations with considerably small computational cost. All the convective terms are evaluated by using the DRBEM coordinate matrix which is already computed in the formulation of nonlinear terms. The resulting systems of initial value problems with respect to time are solved with forward and central differences using relaxation parameters, and the fourth-order Runge-Kutta method. The numerical stability analysis is developed for the flow problems considered with respect to the choice of the time step, relaxation parameters and problem constants. The stability analysis is made through an eigenvalue decomposition of the final coefficient matrix in the DRBEM discretized system. It is found that the implicit central difference time integration scheme with relaxation parameter value close to one, and quite large time steps gives numerically stable solutions for all flow problems solved in the thesis. One-and-two-sided lid-driven cavity flow, natural and mixed convection flows in cavities, natural convection flow of nanofluids and micropolar fluids in enclosures are solved with several geometric configurations. The solutions are visualized in terms of streamlines, vorticity, microrotation, pressure contours, isotherms and flow vectors to simulate the flow behaviour.
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REA, Omar Stevenson Guzman. "Fluido micropolar: existência e unicidade de solução forte." Universidade Federal de Pernambuco, 2016. https://repositorio.ufpe.br/handle/123456789/18552.

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Submitted by Irene Nascimento (irene.kessia@ufpe.br) on 2017-04-11T18:59:11Z No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) DissertaçãoOmar.pdf: 629619 bytes, checksum: f018416fe978f2e27de6abfe2542c60c (MD5)
Made available in DSpace on 2017-04-11T18:59:11Z (GMT). No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) DissertaçãoOmar.pdf: 629619 bytes, checksum: f018416fe978f2e27de6abfe2542c60c (MD5) Previous issue date: 2016-02-19
CNPQ
Estudamos aspectos teóricos de um sistema que modela o comportamento dos unidos micro polares incompressíveis num domínio limitado _ Rn (n = 2 ou 3). Especificamente, utilizamos o método espectral de Galerkin para mostrar a existência de soluções fortes e com determinadas condições mostramos a unicidade das soluções
We study theoretical aspects of a system that models the behavior of incompressible micropolar uids in a bounded domain _ Rn (n = 2 or 3). Speci cally, we use the spectral Galerkin method to show the existence of strong solutions and under certain conditions show the uniqueness of solutions.
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Mostefai, Mohamed Sadek. "Déduction rigoureuse de l'équation de Reynolds à partir d'un système modélisant l'écoulement à faible épaisseur d'un fluide micropolaire, et étude de deux problèmes à frontière libre : Hele-Shaw généralisé et Stephan à deux phases pour un fluide non newtonien." Saint-Etienne, 1997. http://www.theses.fr/1997STET4019.

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Dans le chapitre 1, on considère le modèle micropolaire de Navier-Stokes avec conditions de bords de type Dirichlet non homogènes en dimension deux. On donnera un résultat d'existence d'une solution faible en utilisant le théorème du point fixe de Leray-Schauder, puis on prouvera l'unicité de la solution faible du problème sous certaines hypothèses. On établiera une justification mathématique de l’équation de Reynolds généralisé à partir de ce modèle là. On étudiera ensuite la forme de l'équation de Reynolds suivant le choix de la viscosité et des données initiales. Dans le chapitre 2, nous considérons le modèle de Hele-Shaw généralisé dans une cellule laminaire, qui consiste à injecter du fluide, avec un débit non constant w 0, à travers un trou de frontière 1, situé sur l'une des deux surfaces ; et à tenir compte que l'une des surfaces a une géométrie quelconque et animée d'un mouvement relatif vertical. En introduisant un changement de variable de type Baiocchi, le problème initial se ramène à l'étude d'une inéquation variationnelle avec terme de Volterra. L'existence d'une solution pour cette dernière est donnée par le théorème du point fixe de Banach. Des résultats de régularité en espace pour la solution seront prouvés en introduisant un problème pénalisé et en utilisant la méthode de Rothe (semi-discrétisation en temps), puis on montrera que la dérivée par rapport à t de la solution de l'inéquation variationnelle est dans l#(0, t, h#2()), ce dernier résultat nous permet de revenir au problème initial. Dans le chapitre 3, on considère un problème de Stefan à deux phases avec convection. Le problème est gouverné par un système couple non linéaire, comprenant la loi de Darcy pour un fluide non newtonien et l'équation d'équilibre d'énergie avec second membre dans l#1. Pour prouver l'existence de solutions du problème faible on introduira une famille de solutions approchées (#, p#), > 0, définies sur le domaine entier , en insérant une fonction de pénalité convenable dans l'équation de pression. On considère ensuite séparement les problèmes en # et p#, respectivement, et en utilisant le principe de point fixe de Schauder, on montre l'existence de couples solutions (#, p#) du problème approché, pour tout > 0. En faisant tendre vers zéro, on montre que les solutions du problème approché convergent vers une limite (, p) qui est une solution faible du problème variationnel. On montre aussi que la fonction est continue d'où le domaine où > 0 est un ensemble ouvert, et l'interface des deux phases est définie a posteriori comme l'ensemble de niveau = 0. On établira, enfin, quelques relations entre les solutions faibles et classiques, dans le cas d’une courbe assez régulière
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4

Martin, Grégoire. "Étude numérique des équations d'un fluide micropolaire." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/NQ51263.pdf.

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BENHABOUCHA, Nadia. "Quelques problèmes mathématiques relatifs à la modélisation des conditions aux limites fluide-solide pour des écoulements de faible épaisseur." Phd thesis, Université Claude Bernard - Lyon I, 2003. http://tel.archives-ouvertes.fr/tel-00005482.

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Ce travail de thèse est consacré à l'étude asymptotique d'écoulements de faible épaisseur et à la modélisation des conditions aux limites à imposer à l'interface fluide-solide dans différentes situations. Le chapitre 1 est consacré à l'etude asymptotique d'un écoulement fluide constitué d'une couche poreuse mince adjacente à un milieu fluide mince. On met en évidence l'existence d'un rapport critique entre la taille de la microstructure du milieu poreux et les deux épaisseurs, rapport pour lequel une équation de Reynolds modifiée est obtenue. De plus il est montré qu'on peut toujours pour une géométrie réelle se placer dans ce cas critique. Enfin, on présente des simulations numériques qui mettent en évidence les différences entre le modèle présenté ici et deux autres modèles utilisés en mécanique. Dans le chapitre 2, on s'intéresse à l'étude d'un écoulement de faible épaisseur quand une des surfaces est rugueuse. Ceci peut etre relié à l'étude du chapitre précédent en considérant un milieu poreux qui ne comporterait qu'une seule couche. On utilise la technique de la double échelle en homogénéisation pour obtenir rigoureusement les résultats de convergences. En outre, la convergence des contraintes normales et tangentielles sur les surfaces lisses et rugueuses est étudiée. Dans le chapitre 3, on étudie un écoulement d'un fluide non newtonien de type micropolaire avec de nouvelles conditions à l'interface fluide solide couplant la vitesse et la microrotation par l'introduction d'une viscosité de surface. On démontre l'existence et l'unicité de la solution et des estimations a priori qui conduisent, via l'étude asymptotique, à une équation de Reynolds micropolaire généralisée. Une étude numérique montre l'influence des conditions aux limites sur la charge et le coefficient de frottement. Les résultats sont comparés avec ceux d'autres modèles retenant une condition d'adhérence à la paroi.
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Labassi, Kamel. "Contribution a la maitrise du dimensionnement des turbines hydrauliques "banki-mitchell"." Paris, ENSAM, 1987. http://www.theses.fr/1987ENAM0005.

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Dimensionnement d'une turbine hydraulique de type banki-mitchell. Etude de l'ecoulement en fluide parfait au travers de la roue. Puissance effective. Hauteur de chute. Application a des micro-centrales hydrauliques
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7

Ji, Yan-Cheng, and 季彥成. "Mixed convection of micropolar fluids in a lid-driven enclosure filled with a fluid-saturated porous medium." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/82220661454099916909.

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碩士
國立高雄應用科技大學
機械與精密工程研究所
93
A number of applications in thermal technology require an analysis of convective flow and heat transfer near the thermal boundary condition. The influences of these effects on heat transfer result are much significant. In addition, the study of convection heat transfer in a porous medium has attracted considerable interest because of its important applications in several engineering process, such as chemical, cooling and drying process, etc. Mixed convection heat transfer of micropolar fluids in a lid-driven enclosure filled with a fluid-saturated porous medium is numerically investigated in this study. The governing equations for micropolar fluid were first presented by A.C. Eringen, wherein we furthermore expand the applications to non-Newtonian fluids. The numerical computations were obtained using the cubic spline collocation method in a personal computer. The governing equations, including stream function, vorticity, microrotation and energy, were first put in dimensionless form. The governing parameters appearing in present study are Pr, Gr, R, λ, Darcy number, and several micropolar parameters. The numerical results of the flow fields are discussed with plot of isotherms, streamlines and velocity vectors. The results indicate that the Newtonian fluid has more significant convection heat transfer effect than that of micropolar fluids.
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Liu, Keng-Hao, and 劉耿豪. "Transient Convection in Micropolar Fluid Flow Through a Wavy Wall Channel Including the Magnetic Field Effect." Thesis, 2002. http://ndltd.ncl.edu.tw/handle/42790866147250540757.

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碩士
國立成功大學
機械工程學系碩博士班
90
Forced and mixed convection of micropolar fluids through a periodic array of wavy-wall channel has been analyzed by a simple coordinate transformation method and the spline alternating-direction implicit method. The governing equations of system are derived from complete Navier-Stokes equations with theories of micropolar fluid, we can expand the applications from in Newtonian fluids to in non-Newtonian fluids. The transformed governing equations can expand the irregular boundary into a calculable regular plane, and then solve it by using the spline alternating-direction implicit method (SADI). Numerical results show that, in micropolar fluids, both the velocity of fluid and heat transfer rate would decrease since effects of vortex viscosity, spin-gradient viscosity and micro-inertia density. When the heat transfer surface is lumpy, this displacement of boundary will disturb the flow and alter the heat transfer rate. The synthetic result show that the add quantity of heat transfer area in wavy surfaces is enough to offset the thermal resistance which is due to the geometry surfaces. Therefore, the heat transfer rate of wavy surface is higher than that of the corresponding flat plate in all fluids. Furthermore, it should be noted that the increase in heat transfer rate usually implies the increase in skin-friction coefficient. This would make a penalty in pumping power required for wavy channels. Incluiding the magnetic field effect also can increase the velocity near the wavy surface,so the heat transfer rate is better。
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Wang, Ying-Chi, and 王盈啟. "A nonlinear rupture analysis of the thin liquid films of micropolar fluid under magnetic field effects." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/36510935295408110173.

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碩士
國立成功大學
機械工程學系
87
The thesis is conferring to the rupture of the thin liquid film. First, we consider the Newton fluid under magnetic effect and the micropolar fluid on the cylindrical coordinates then consider the micropolar fluid under magnetic effect on the plane plate. This thesis refers to the research to find a nonlinear evolution equation of liquid thin film by long wave small perturbation method and quasi-steady lubrication theory. In order to reveal the physical parameter effect in the first order governing equation, we made the preliminary estimate of the degree. And then we got the simple governing equation and boundary condition. After solve the couple equation with kinetic boundary condition, we can get a nonlinear evolution equation. Finally, we use numerical analysis method to find out the rupture process and the rupture time. In general, the thin liquid film on the cylinder has more plenty of lateral capillary force than it is on plane plate. This force may increase the perturbation of amplitude, and accelerate the rupture of thin liquid film. When the radius of cylinder becomes small and small, the effect of lateral capillary force become remarkable. The result of the micropolar fluid under magnetic effect is similarity to the result of the Newton's fluid.
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Tessema, Kassahun Mengist. "On free convection and heat transfer in a micropolar fluid flow past a moving semi-infinite plate." Thesis, 2012. http://hdl.handle.net/10413/8852.

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In this dissertation we investigate free convective heat and mass transfer in micropolar fluid flow past a moving semi-infinite vertical porous plate in the presence of a magnetic field. The aim of this study was to use recent semi-numerical methods such as the successive linearisation method and the spectral-homotopy analysis method to study the effects of viscous heating and the effects of different fluid parameters. The governing boundary layer equations for linear momentum, angular momentum (microrotation), temperature and concentration profiles are transformed to a system of ordinary differential equations and solved using the successive linearisation method and the spectral-homotopy analysis method. The accuracy of the solutions was determined by comparison with numerical approximations obtained using the Matlab bvp4c solver. The influences of the micropolar parameter, Darcy number, Prandtl number, Schmidt number, magnetic parameter, heat absorption parameter, Soret and Dufour numbers, local Reynolds number and Grashof number on velocity, microrotation, temperature and concentration profiles were determined. The results obtained are presented graphically and in tabular form.
Thesis (M.Sc.)-University of KwaZulu-Natal, Pietermaritzburg, 2012.
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Books on the topic "Micropolar fluid"

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Khan, Aamir Iftikhar. Micropolar fluid flow in channels. Manchester: University of Manchester, 1995.

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Łukaszewicz, Grzegorz. Micropolar Fluids. Boston, MA: Birkhäuser Boston, 1999. http://dx.doi.org/10.1007/978-1-4612-0641-5.

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Łukaszewicz, Grzegorz. Micropolar fluids: Theory and applications. Boston: Birkhäuser, 1999.

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Micropolar fluids: Theory and applications. Boston: Birkhäuser, 1999.

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Łukaszewicz, Grzegorz. Micropolar Fluids: Theory and Applications. Boston, MA: Birkhäuser Boston, 1999.

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Lukaszewicz, Grzegorz. Micropolar Fluids. Springer, 2012.

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E, Brewe David, and United States. National Aeronautics and Space Administration., eds. On the performance of finite journal bearings lubricated with micropolar fluids. [Washington, D.C.]: National Aeronautics and Space Administration, 1988.

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Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids. Elsevier, 2022. http://dx.doi.org/10.1016/c2019-0-01299-x.

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Book chapters on the topic "Micropolar fluid"

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Yamazaki, Kazuo. "Recent Developments on the Micropolar and Magneto-Micropolar Fluid Systems: Deterministic and Stochastic Perspectives." In Mathematical Engineering, 85–103. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18206-3_4.

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Verma, Rajiv, and Puneet Mathur. "Transient Analysis of Plain Circular Bearing with Micropolar Fluid." In Lecture Notes in Mechanical Engineering, 143–55. New Delhi: Springer India, 2013. http://dx.doi.org/10.1007/978-81-322-1656-8_12.

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Rickert, Wilhelm, and Sebastian Glane. "Cavity Flow of a Micropolar Fluid - a Parameter Study." In Advanced Structured Materials, 411–32. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-13307-8_28.

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Srinivasacharya, D., and K. Himabindu. "Entropy Generation Analysis for a Micropolar Fluid Flow in an Annulus." In Numerical Heat Transfer and Fluid Flow, 9–15. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1903-7_2.

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Chaube, M. K. "Role of Electric Field on Peristaltic Flow of a Micropolar Fluid." In Lecture Notes in Networks and Systems, 279–85. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-8198-9_29.

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Qin, Yuming, Xin Liu, and Taige Wang. "The Cauchy Problem for a 1D Compressible Viscous Micropolar Fluid Model." In Frontiers in Mathematics, 113–41. Basel: Springer Basel, 2015. http://dx.doi.org/10.1007/978-3-0348-0594-0_5.

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Somaiah, K. "Effect of Rotation and Fluid on Radial Vibrations in a Micropolar Elastic Solid Having a Fluid-Loaded Spherical Cavity." In Advances in Fluid Dynamics, 171–80. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-4308-1_13.

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Srinivas, R., and K. Somaiah. "Radial Vibrations in Unbounded Micropolar Elastic Solid with Fluid Loaded Spherical Cavity." In Lecture Notes in Mechanical Engineering, 431–38. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-5329-0_31.

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Oyediran, A. A. "Numerical Study of Transient Heating of Micropolar Fluid in a Rectangular Enclosure." In Computational Mechanics ’88, 1649–50. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-61381-4_435.

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Raje, Ankush, and M. Devakar. "MHD Flow and Heat Transfer of Immiscible Micropolar and Newtonian Fluids Through a Pipe: A Numerical Approach." In Numerical Heat Transfer and Fluid Flow, 55–64. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1903-7_8.

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Conference papers on the topic "Micropolar fluid"

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Najafi, A., F. Daneshmand, and S. R. Mohebpour. "Analysis of Vibrating Micropolar Plate in Contact With a Fluid." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-31036.

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Micropolar theory constitutes extension of the classical field theories. It is based on the idea that every particles of the material can make both micro rotation and volumetric micro elongation in addition to the bulk deformation. Since this theory includes the effects of micro structure which could affect the overall behaviour of the medium, it reflects the physical realities much better than the classical theory for the engineering materials. In the micropolar theory, the material points are considered to possess orientations. A material point carrying three rigid directors introduces one extra degree of freedom over the classical theory. This is because in micropolar continuum, a point is endowed with three rigid directors only. A material point is then equipped with the degrees of freedom for rigid rotations, in addition to the classical translational degrees of freedom. In fact, the micropolar covers the results of the classical continuum mechanics. The micropolar theory recently takes attentions in fluid mechanics and mathematicians and engineers are implementing this theory in various theoretical and practical applications. In this paper the fluid-structure analysis of a vibrating micropolar plate in contact with a fluid is considered. The fluid is contained in a cube which all faces except for one of the lateral faces are rigid. The only non-rigid lateral face is made of a flexible micropolar plate and therefore, interacts with the fluid. An analytical approach is utilized to investigate the vibration characteristics of the aforementioned fluid-structure problem. The fluid is non-viscous and incompressible. Duplicate Chebyshev series, multiplied by boundary functions are used as admissible functions and the frequency equations of the micropolar plate are obtained by the use of Chebyshev-Ritz method. Also the vibration analysis of the plates modeled by micropolar theory has been done. This analysis shows that some additional frequencies due to the micropolarity of the plate appears among the values of the frequencies obtained in the classical theory of elasticity, as expected. These new frequencies are called micro-rotational waves. We also observed that when the micropolar material constants vanish, these additional frequencies disappear and only the classical frequencies remain. Specially, we observed that these additional frequencies are more sensitive to the change of the micro elastic constants than the classical frequencies. The frequencies and mode shapes of the coupled fluid structure interaction problem are obtained in the present study based on the micropolar and classical modeling. The numerical results for the problem are compared with those obtained by the analytical method for their differences and to confirm the proposed method. The microrotatinal wave frequencies and mode shapes are also developed. The results show that the natural frequencies and mode shapes for the transverse vibrations of the problem are in good agreement with the classical one and our knowledge from the physical nature of the problem.
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Hegab, Hisham E., and Guohua Liu. "Fluid flow modeling of micro-orifices using micropolar fluid theory." In Micromachining and Microfabrication, edited by Carlos H. Mastrangelo and Holger Becker. SPIE, 2000. http://dx.doi.org/10.1117/12.395670.

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Kim, Youn J. "Behaviors of Micropolar Flows in a Rotating Annulus." In ASME 2003 1st International Conference on Microchannels and Minichannels. ASMEDC, 2003. http://dx.doi.org/10.1115/icmm2003-1042.

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An analysis is presented for the problem of micropolar flows in the annulus between two steadily rotating concentric cylinders. The local effects arising from microstructure and intrinsic motion of the fluid element that will affect the flow motion are considered. Especially, the effects of non-zero values of micro-gyration vector on the wall boundary conditions are investigated, using micropolar fluid theory. Numerical results of velocity distribution of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid. Also, the results of the surface friction coefficient and the couple stress coefficient at the inner and outer surfaces are prepared with various values of fluid properties and flow conditions.
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Hazbavi, Abbas, and Sajad Sharhani. "Micropolar Fluid Flow Between Two Inclined Parallel Plates." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-72528.

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In this study, the hydrodynamic characteristics are investigated for magneto-micropolar fluid flow through an inclined channel of parallel plates with constant pressure gradient. The lower plate is maintained at constant temperature and upper plate at a constant heat flux. The governing equations which are continuity, momentum and energy are are solved numerically by Explicit Runge-Kutta. The effect of characteristic parameters is discussed on velocity and microrotation in different diagrams. The nonlinear parameter affected the velocity microrotation diagrams. An increase in the value of Hartmann number slows down the movement of the fluid in the channel. The application of the magnetic field induces resistive force acting in the opposite direction of the flow, thus causing its deceleration. Also the effect of pressure gradient is investigated on velocity and microrotation in different diagrams.
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Mingyang Pan, Xiandong Zhu, Liancun Zheng, and Xinhui Si. "Multiple solutions of the micropolar fluid equation in a porous channel." In 2014 ISFMFE - 6th International Symposium on Fluid Machinery and Fluid Engineering. Institution of Engineering and Technology, 2014. http://dx.doi.org/10.1049/cp.2014.1228.

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Abidin, Nurul Hafizah Zainal, Nor Fadzillah Mohd Mokhtar, Norazam Arbin, Junaida Md Said, and Norihan Md Arifin. "Marangoni convection in a micropolar fluid with feedback control." In 2012 IEEE Symposium on Business, Engineering and Industrial Applications (ISBEIA). IEEE, 2012. http://dx.doi.org/10.1109/isbeia.2012.6422949.

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Torres, E. Ortega, and Fernando Vásquez. "A Control Problem for a Heat Conducting Micropolar Fluid." In CNMAC 2018 - XXXVIII Congresso Nacional de Matemática Aplicada e Computacional. SBMAC, 2018. http://dx.doi.org/10.5540/03.2018.006.02.0243.

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Zadravec, M., M. Hriberšek, and L. Škerget. "Micropolar fluid flow modelling using the boundary element method." In MULTIPHASE FLOW 2007. Southampton, UK: WIT Press, 2007. http://dx.doi.org/10.2495/mpf070311.

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Marušić – Paloka, E., I. Pažanin, and M. Radulović. "On The Lubrication of a Rotating Shaft with Incompressible Micropolar Fluid." In Topical Problems of Fluid Mechanics 2020. Institute of Thermomechanics, AS CR, v.v.i., 2020. http://dx.doi.org/10.14311/tpfm.2020.021.

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Mahfouz, F. M., and H. Imtiaz. "Free convection within an eccentric annulus filled with Micropolar fluid." In 2012 International Bhurban Conference on Applied Sciences and Technology (IBCAST). IEEE, 2012. http://dx.doi.org/10.1109/ibcast.2012.6177570.

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