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Magnetohydrodynamic poiseuille-couette flow and heat transfer in an inclined channel

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TLDR
In this article, an analysis of the Poiseuille-Couette flow of two immiscible fluids between inclined parallel plates is investigated, where one fluid is assumed to be electrically conducting while the other fluid and channel walls are electrically insulating.
Abstract
An analysis of the Poiseuille-Couette flow of two immiscible fluids between inclined parallel plates is investigated. One of the fluids is assumed to be electrically conducting while the other fluid and channel walls are assumed to be electrically insulating. The viscous and Ohmic dissipation terms are taken into account in the energy equation. The coupled nonlinear equations are solved both analytically valid for small values of the product of Prandtl number and Eckert number (= e) and numerically valid for all e. Solutions for large e reveal a marked change on the flow and rate of heat transfer. The effects of various parameters such as Hartmann number, Grashof number, angle of inclination, ratios of viscosities, widths and thermal conductivities are presented and discussed in detail.

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Book ChapterDOI

Chapter 9: HAM-Based Mathematica Package BVPh 2.0 for Nonlinear Boundary Value Problems

Yinlong Zhao, +1 more
TL;DR: The BVPh 2.0 as discussed by the authors is a free software based on the homotopy analysis method (HAM) for nonlinear boundary-value and eigenvalue problems.
Journal ArticleDOI

Flow and Heat Transfer of Two Immiscible Fluids in the Presence of Uniform Inclined Magnetic Field

TL;DR: In this article, the magnetohydrodynamic (MHD) Couette flow of two immiscible fluids in a horizontal channel with isothermal walls in the presence of an applied electric and inclined magnetic field was investigated.
Journal ArticleDOI

Lie Group Analysis of Soret and Dufour Effects on Radiative Inclined Magnetic Pressure-Driven Flow Past a Darcy-forchheimer Medium

TL;DR: In this article, the Soret and Dufour effects on steady convective heat and mass transfer of magnetohydrodynamic (MHD) pressure-driven flow in a Darcy-forchheimer porous medium with inclined uniform magnetic field and thermal radiation were examined.
Journal ArticleDOI

Entropy Generation Case Studies of Two-Immiscible Fluids Under the Influence of a Uniform Magnetic Field in an Inclind Channel

TL;DR: In this article, the entropy generation of two immiscible fluids inside an inclined channel under the influence of a uniform magnetic field was investigated and the authors solved the governing equations of momentum and energy for two regions by Mathematica package BVPh 2.0 based on homotopy analysis method.
Journal ArticleDOI

Mixed convection of electrically conducting and viscous fluid in a vertical channel using Robin boundary conditions

TL;DR: In this article, an analytical and semi-analytical method was used to solve two-fluid magneto-hydrodynanamic flow and heat transfer in the presence of a constant electric field in a vertical channel using Robin boun...
References
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Journal ArticleDOI

The effect of an externally imposed magnetic field on buoyancy driven flow in a rectangular cavity

TL;DR: In this article, a numerical solution has been presented, describing the transient development of the fluid flow field and the temperature distribution in a rectangular cavity in the presence of an imposed magnetic field.
Journal ArticleDOI

Magnetohydrodynamic heat transfer in two-phase flow between parallel plates

TL;DR: In this article, two-phase magnetohydrodynamic (MHD) flow and heat transfer in a parallel-plate channel were dealt with and the flow was assumed to be steady, one-dimensional and fully developed.
Book ChapterDOI

The Influence of Electric and Magnetic Fields on Heat Transfer to Electrically Conducting Fluids

TL;DR: In this paper, the effects of externally applied electromagnetic fields on heat transfer to electrically conducting continuous fluids were assessed and the basic equations were developed and various classical problems were discussed, such as free convention and heat transfer in channel flow and at stagnation point.
Journal ArticleDOI

Two-phase magnetohydrodynamic flow and heat transfer in an inclined channel

TL;DR: In this article, two-phase MHD flow and heat transfer in an inclined channel is investigated in which one phase being electrically conducting is assumed constant and the resulting governing equations are coupled and nonlinear.
Journal ArticleDOI

Magnetohydrodynamic heat transfer in two phase flow

TL;DR: In this paper, a two-phase magnetohydrodynamic flow and heat transfer in a horizontal channel is investigated analytically, and the analytical solutions for velocity and temperature distributions are obtained and are computed numerically for different values of parameters.
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