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Transient MHD Natural Convection between Two Vertical Walls Heated/Cooled Asymmetrically

by B. C. Sarkar, S. Das, R. N. Jana
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 52 - Number 3
Year of Publication: 2012
Authors: B. C. Sarkar, S. Das, R. N. Jana
10.5120/8183-1535

B. C. Sarkar, S. Das, R. N. Jana . Transient MHD Natural Convection between Two Vertical Walls Heated/Cooled Asymmetrically. International Journal of Computer Applications. 52, 3 ( August 2012), 27-34. DOI=10.5120/8183-1535

@article{ 10.5120/8183-1535,
author = { B. C. Sarkar, S. Das, R. N. Jana },
title = { Transient MHD Natural Convection between Two Vertical Walls Heated/Cooled Asymmetrically },
journal = { International Journal of Computer Applications },
issue_date = { August 2012 },
volume = { 52 },
number = { 3 },
month = { August },
year = { 2012 },
issn = { 0975-8887 },
pages = { 27-34 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume52/number3/8183-1535/ },
doi = { 10.5120/8183-1535 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:51:20.766162+05:30
%A B. C. Sarkar
%A S. Das
%A R. N. Jana
%T Transient MHD Natural Convection between Two Vertical Walls Heated/Cooled Asymmetrically
%J International Journal of Computer Applications
%@ 0975-8887
%V 52
%N 3
%P 27-34
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The transient MHD natural convection flow of a viscous incompressible electrically conducting fluid confined between vertical walls heated/cooled asymmetrically has been studied. We have considered two different cases (i) when one of the walls is stationary and (ii) when one of the walls starts to move impulsively. The governing equations have been solved analytically using the Laplace transform technique. The velocity field and temperature distribution are being presented graphically. The fluid velocity decreases for both the stationary wall as well as for impulsive motion of one of the walls with an increase in either magnetic parameter or Prandtl number. An increase in fluid temperature occurs due to an increase in temperature difference ratio. Further, the shear stress increases for both the stationary wall as well as for impulsive motion of one of the walls with an increase in either Grashof number or temperature difference ratio or time. The rate of heat transfer at the wall n=0 increases with an increase in Prandtl number while it decreases with an increase in temperature difference ratio.

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Index Terms

Computer Science
Information Sciences

Keywords

Transient MHD natural convection Prandtl number Grashof number temperature difference ratio stationary wall impulsive motion and rate of heat transfer