Laminar Forced Convection MHD Couette-Poiseuille Flow with Viscous and Joule Dissipations

Authors

  • B. C. Sarkar Department of Mathematics, Ramananda College, Bishnupur 722122, India

DOI:

https://doi.org/10.3329/jsr.v14i3.58945

Abstract

The laminar forced convection MHD Couette-Poiseuille flow of a viscous incompressible fluid with the viscous and Joule dissipations has been studied.  Two different orientations of the wall thermal boundary-conditions have been considered, namely: the constant heat-flux at the upper moving plate with the adiabatic stationary lower plate and the constant heat flux at the stationary lower plate with an adiabatic moving upper plate. The governing equations are solved analytically. It is observed that the fluid velocity increases near the stationary plate and it decreases near the moving plate with an increase in magnetic parameter. The temperature field is significantly affected by the modified Brinkman number. The fluid temperature increases when the lower plate is adiabatic and the upper plate is at positive constant heat flux while it decreases in case the lower plate is at negative constant heat flux and the upper plate is adiabatic with an increase in modified Brinkman number for the combined effects of viscous and Joule dissipations. Further, the fluid temperature decreases for positive heat flux case while it increases for negative heat flux case with an increase in either magnetic parameter or velocity parameter when the combined effects of viscous and Joule dissipations are taken into account.

Downloads

Download data is not yet available.
Abstract
51
pdf
70

Downloads

Published

2022-09-01

How to Cite

Sarkar, . B. C. . (2022). Laminar Forced Convection MHD Couette-Poiseuille Flow with Viscous and Joule Dissipations . Journal of Scientific Research, 14(3), 877–889. https://doi.org/10.3329/jsr.v14i3.58945

Issue

Section

Section A: Physical and Mathematical Sciences