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Fully developed mhd flow of a micropolar and viscous fluids in a vertical porous space using ham

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TLDR
In this article, the problem of MHD flow of two immiscible fluids through a vertical porous space in the presence of temperature dependent heat source is studied analytically with one region filled with micropolar fluid and the other region with a viscous fluid.
Abstract
The problem of MHD flow of two immiscible fluids through a vertical porous space in the presence of temperature dependent heat source is studied analytically with one region filled with micropolar fluid and the other region with a viscous fluid. The coupled non-linear equations governing the motion and energy are solved analytically using homotopy analysis method (HAM). These results are presented for various values of Hartmann number, permeability parameter, Grashof number, ratio of fluid heights, ratio of thermal conductivities, heat source parameter, micropolar fluid material parameter and Brinkmann number. The skin friction and the rate of heat transfer coefficient are obtained and discussed graphically.

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Effects of the chemical reaction and radiation absorption on an unsteady mhd convective heat and mass transfer flow past a semi-infinite vertical permeable moving plate embedded in a porous medium with heat source and suction

TL;DR: The dimensionless governing equations for this investigation are solved analytically using two-term harmonic and non-harmonic functions as discussed by the authors, and Graphical results for velocity, temperature and concentration profiles of both phases based on the analytical solutions are presented and discussed.
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Effects of Hall current and radiation absorption on MHD micropolar fluid in a rotating system

TL;DR: In this article, the effects of Hall current and radiation absorption on MHD free convection mass transfer flow of a micropolar fluid in a rotating frame of reference were investigated.
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MHD free-convective flow of micropolar and Newtonian fluids through porous medium in a vertical channel

TL;DR: In this paper, the authors studied the free-convective flow of an electrically conducting fluid in a vertical channel occupied by porous medium under the influence of transverse magnetic field.
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Chemical reaction effects on unsteady MHD flow past semi-infinite vertical porous plate with viscous dissipation

TL;DR: In this article, the chemical reaction effect on an unsteady magnetohydrodynamic (MHD) flow past a semi-infinite vertical porous plate with viscous dissipation is analyzed.
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Influence of Variable Permeability and Radiation Absorption on Heat and Mass Transfer in MHD Micropolar Flow over a Vertical Moving Porous Plate

TL;DR: In this paper, an analysis of free convection with heat and mass transfer flow for a micropolar fluid through a porous medium with a variable permeability bounded by a semi-infinite vertical plate in the presence of heat generation, thermal radiation, first-order chemical reaction, and the radiation absorption is reported.
References
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Journal ArticleDOI

Theory of Micropolar Fluids

TL;DR: In this paper, the authors derived equations of motion, constitutive equations and boundary conditions for a class of fluids named micropolar fluids, which respond to micro-rotational motions and spin inertia and therefore can support couple stress and distributed body couples.
Journal ArticleDOI

Microcontinuum fluid mechanics—A review

TL;DR: A survey of microcontinuum fluid mechanics can be found in this article, where the fundamental mechanics and general constitutive theories governing the behavior of fluid microcontinua are discussed and a brief treatment of statistically based theories are also considered.
Book

Micropolar fluids : theory and applications

TL;DR: In this article, the model of Ordinary and Polar Fluids is described, and a description of the model is given, together with a discussion of its application in various applications.
Journal ArticleDOI

The application of homotopy analysis method to nonlinear equations arising in heat transfer

TL;DR: In this paper, the homotopy analysis method (HAM) is compared with the numerical and HPM in the heat transfer file and the auxiliary parameter ℏ, which provides a simple way to adjust and control the convergence region of solution series.
Journal ArticleDOI

On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet

TL;DR: In this paper, the homotopy analysis method is employed to give analytic solutions of magnetohydrodynamic viscous flows of non-Newtonian fluids over a stretching sheet.
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