CFP last date
16 December 2024
Reseach Article

Effect of Radiation on Transient Natural Convection Flow between Two Vertical Walls

by C. Mandal, S. Das, R. N. Jana
International Journal of Applied Information Systems
Foundation of Computer Science (FCS), NY, USA
Volume 2 - Number 2
Year of Publication: 2012
Authors: C. Mandal, S. Das, R. N. Jana
10.5120/ijais12-450278

C. Mandal, S. Das, R. N. Jana . Effect of Radiation on Transient Natural Convection Flow between Two Vertical Walls. International Journal of Applied Information Systems. 2, 2 ( May 2012), 49-56. DOI=10.5120/ijais12-450278

@article{ 10.5120/ijais12-450278,
author = { C. Mandal, S. Das, R. N. Jana },
title = { Effect of Radiation on Transient Natural Convection Flow between Two Vertical Walls },
journal = { International Journal of Applied Information Systems },
issue_date = { May 2012 },
volume = { 2 },
number = { 2 },
month = { May },
year = { 2012 },
issn = { 2249-0868 },
pages = { 49-56 },
numpages = {9},
url = { https://www.ijais.org/archives/volume2/number2/136-0278/ },
doi = { 10.5120/ijais12-450278 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2023-07-05T10:43:18.423089+05:30
%A C. Mandal
%A S. Das
%A R. N. Jana
%T Effect of Radiation on Transient Natural Convection Flow between Two Vertical Walls
%J International Journal of Applied Information Systems
%@ 2249-0868
%V 2
%N 2
%P 49-56
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The effects of radiation on transient natural convection of a viscous incompressible fluid confined between vertical walls have been studied. We have considered the two different cases (i) flow due to the impulsive motion and (ii) flow due to accelerated motion of one of the walls. The governing equations are solved analytically using the Laplace transform technique. The variations of velocity and fluid temperature are presented graphically. It is observed that the velocity increases for both the impulsive motion as well as the accelerated motion of one of the walls with an increase in radiation parameter. It is also observed that the velocity decreases with an increase in either Prandtl number or time for both the impulsive motion as well as the accelerated motion. An increase in Grashof number leads to a fall in velocity due to enhancement in buoyancy force. An increase in the radiation parameter leads to increase the temperature of the flow field. Further, the shear stress at the moving wall increases for both the impulsive motion as well as the accelerated motion of one of the walls with an increase in radiation parameter. The rate of heat transfer increases with an increase in either radiation parameter or Prandtl number while it decreases with an increase in time.

References
  1. Joshi, H. M. 1988. Transient effects in natural convection cooling of vertical parallel plates. Int. Comm. Heat Mass Transfer. 15, 227-238.
  2. Singh, A. K. 1988. Natural convection in unsteady Couette motion. Defense Science Journal, 38(1), 35-41.
  3. 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.
  4. 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.
  5. Slimi, K. , Zili-Ghedira, L. , Ben Nasrallah, S. and Mohamad, A. A. 2004. A transient study of coupled natural convection and radiation in a porous vertical channel using the finite-volume method. Num. Heat Transfer Part A. 45, 451-478.
  6. 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.
  7. Bouali, H. and Mezrhab, A. 2006. Combined radiative and convective heat transfer in a divided channel. Int. J. Num. Meth. Heat Fluid Flow. 16, 84-106.
  8. 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.
  9. Rao, C. G. 2007. Interaction of surface radiation with conduction and convection from a vertical channel with multiple discrete heat sources in the left wall. Numer. Heat Transfer Part A : Appl. 52, 831-848.
  10. 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.
  11. Al-Amri, Fahad G. , El-Shaarawi, Maged A. I. 2010. Combined forced convection and surface radiation between two parallel plates. Int. J. Numerical Methods for Heat & Fluid Flow. 20(2), 218-239 .
  12. 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.
  13. 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.
  14. Cogley, A. C. , Vincentine, W. C. and Gilles, S. E. 1968. A Differential approximation for radiative transfer in a non-gray gas near equilibrium. AIAA Journal. 6, 551-555.
Index Terms

Computer Science
Information Sciences

Keywords

Transient Natural Convection Radiation Prandtl Number Grashof Number Impulsive Motion And Accelerated Motion