IJPAM: Volume 96, No. 4 (2014)

NUMERICAL SIMULATION OF NATURAL CONVECTION
IN A PARTIALLY COOLED SQUARE ENCLOSURE
FILLED WITH POROUS MEDIUM

Wiratchada Kalaoka$^1$, Supot Witayangkurn$^2$
$^{1,2}$Department of Mathematics
Faculty of Science
Khon Kaen University
Khon Kaen 40002, THAILAND
$^2$Center of Excellence in Mathematics
Commission on Higher Education
Si Ayutthaya Road, Bangkok, 10400, THAILAND


Abstract. The present paper numerically studies natural convection in a partially cooled square enclosure filled with a porous medium. One of the enclosure walls is heated while the middle opposite wall is partially cooled. The remaining walls are adiabatic. The governing equations which are continuity, momentum and energy equations are solved using finite element method with FlexPDE $6.20$ Professional. The relevant parameters for computations are Darcy numbers $(Da=10^{-5}-10^{-3})$, Rayleigh numbers $(Ra=10^{4}-10^{6})$, Prandtl numbers $(Pr=0.70-10)$ and cold length $(D=0.50)$. The numerical results are present in terms of isotherms, streamlines and heatlines. It is found that varied Darcy and Rayleigh numbers can lead to difference temperature flow and heat fields. The results of this study can be use in the thermal insulation of buildings and cooling systems of electronic devices.

Received: May 3, 2014

AMS Subject Classification: 65M60, 76D05, 76R10, 76S05, 80A20

Key Words and Phrases: finite element method, natural convection, partially cooled, porous medium

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DOI: 10.12732/ijpam.v96i4.6 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 96
Issue: 4
Pages: 507 - 522


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CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).