We apologize for a recent technical issue with our email system, which temporarily affected account activations. Accounts have now been activated. Authors may proceed with paper submissions. PhDFocusTM
CFP last date
20 November 2024
Call for Paper
December Edition
IJCA solicits high quality original research papers for the upcoming December edition of the journal. The last date of research paper submission is 20 November 2024

Submit your paper
Know more
Reseach Article

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.

References
  1. Singer, R. M. (1965). Transient magnetohydrodynamic flow and heat transfer. Zeitschrift für Angewandte Mathematik und Mechanik. 16(4): 483-494.
  2. Joshi, H. M. (1988). Transient effects in natural convection cooling of vertical parallel plates. Int. Comm. Heat Mass Transfer. 15: 227-238.
  3. Singh, A. K. (1988). Natural convection in unsteady Couette motion. Defense Science Journal. 38(1): 35-41.
  4. Sacheti, N. C. , Chandran, P. and Singh, A. K. (1994). An exact solution for unsteady magnetohydrodynamic free convection flow with constant heat flux. Int. Comm. Heat and Mass Transfer. 21(1): 131-142.
  5. Singh, A. K. , Gholami, H. R. and Soundalgekar, V. M. (1996). Transient free convection flow between two vertical parallel plates. Heat and Mass Transfer. 31: 329-331.
  6. Jha, B. K. (2001). Natural Convection in unsteady MHD Couette flow. Heat and Mass Transfer. 37: 329-331.
  7. Chamkha, A. J. (2001). Unsteady laminar hydromagnetic flow and heat transfer in porous channels with temperature-dependent properties. Int. J. Num. Meth. Heat and Fluid Flow. 11(5-6): 430-448.
  8. Jha, B. K. , Singh, A. K. and Takhar, H. S. (2003). Transient free convection flow in a vertical channel due to symmetric heating. Int. J. Appl. Mech. Eng. 8(3): 497-502.
  9. Singh, A. K. and Paul, T. (2006). Transient natural convection between two vertical walls heated/cooled asymmetrically. Int. J. Appl. Mech. Eng. 11(1): 143-154.
  10. Grosan, T. and Pop, I. (2007). Thermal radiation effect on fully develop mixed convection flow in a vertical channel. Technische Mechanik. 27(1): 37-47.
  11. Narahari, M. Natural convection in unsteady Couette flow between two vertical parallel plates in the presence of constant heat flux and radiation. MACMESE'09 Proceedings of the 11th WSEAS international conference on Mathematical and computational methods in science and engineering.
  12. Narahari, M. (2009). Oscillatory plate temperature effects of free convection flow of dissipative fluid between long vertical parallel plates. Int. J. of Appl. Math and Mech. 5(3): 30-46.
  13. Narahari, M. (2010). Effects of thermal radiation and free convection currents on the unsteady couette flow between two vertical parallel plates with constant heat flux at one boundary. WSEAS Transactions on Heat and Mass Transfer. 5(1): 21-30.
  14. Rajput, U. S. and Sahu, P. K. (2011). Transient free convection MHD flow between two long vertical parallel plates with constant temperature and variable mass diffusion. Int. J. Math. Analysis. 5(34): 1665-6671.
  15. Das, S. , Sarkar, B. C. and Jana, R. N. (2012). Radiation effects on free convection MHD Couette flow started exponentially with variable wall temperature in presence of heat generation. Open J. Fluid Dynamics. 2: 14-27.
  16. Mandal, C. , Das, S. and Jana, R. N. (2012). Effect of radiation on transient natural convection flow between two vertical walls. Int. J. Appl. Inf. Systems. 2(2): 49-56.
  17. Ahmed, N. , Sarma, K. and Barua, D. P. (2012) Magnetic field effect on free convective oscillatory flow between two vertical parallel plates with periodic plate temperature and dissipative heat. Appl. Math. Sc. 6(39): 1913-1924.
  18. Sarkar, B. C. , Das, S. and Jana, R. N. (2012). Effects of radiation on MHD free convective Couette flow in a rotating system. Int. J. Eng. Res. and Appl. 2(4): 2346-2359.
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