International Journal of Statistics and Applied Mathematics
  • Printed Journal
  • Indexed Journal
  • Refereed Journal
  • Peer Reviewed Journal

International Journal of Statistics and Applied Mathematics

2018, Vol. 3, Issue 3, Part C

A numerical study of mixed convection in a lid-driven porous square cavity with internal elliptic block and linearly heated side walls


Author(s): M Jahirul Haque Munshi, MA Alim and Mahtab Uddin Ahmmed

Abstract: The present work is a numerical investigation of mixed convection in a lid-driven porous square cavity with internal elliptic block and linearly heated side walls with Prandtl number of 0.7. The left and right walls of the cavity were linearly heated while the top and bottom walls were maintained at constant temperatures with the top surface being the cold wall and bottom surface being the hot wall. In the double-lid cavity configuration, the top wall moved to the right while the bottom wall moved to the left at the same constant speed. The magnetic field of strength B is applied parallel to x-axis. Finite element method was employed to solve the dimensionless governing equations of continuity, momentum and energy of the problem. Using our developed code, a parametric study was performed, and the effect of the Darcy number, Grashof number, and Reynolds number on the fluid flow and heat transfer inside the square enclosure were investigated. The isotherms are also almost symmetric at small Re with Gr (Gr = 105) and Da (Da = 10-3) and natural convection is found to be dominant whereas the isotherms are compressed near the left and bottom walls at higher Re for linearly heated side walls. Results are presented in the form of streamlines and isotherms plots as well as the variation of the maximum temperature and Nusselt numbers under different conditions. The numerical results indicate the strong influence of the mentioned parameters on the flow structure and heat transfer as well as average Nusselt number. An optimum combination of the governing parameters would result in higher heat transfer.

Pages: 191-202 | Views: 410 | Downloads: 7

Download Full Article: Click Here
How to cite this article:
M Jahirul Haque Munshi, MA Alim, Mahtab Uddin Ahmmed. A numerical study of mixed convection in a lid-driven porous square cavity with internal elliptic block and linearly heated side walls. Int J Stat Appl Math 2018;3(3):191-202.
Call for book chapter
International Journal of Statistics and Applied Mathematics