Abstract
The validity of the local thermal equilibrium assumption in the periodic free convection channel flow is investigated analytically. Two cases are considered where in the first case transverse conduction in the solid domain is included while in the second case transverse conduction in the fluid domain is included. The periodic disturbance in the free convection flow is due to a periodic thermal disturbance imposed on the channel walls. The Darcy–Brinkman model is used to model the flow inside the porous domain. It is found that four dimensionless parameters control the local thermal equilibrium assumption in the first case and five parameters control the local equilibrium assumption in the second case. The criteria that secure the validity of the local thermal equilibrium assumption are derived.
Similar content being viewed by others
References
T. E. Schumann (1929) J. Franklin Institute 28 405 Occurrence Handle10.1016/S0016-0032(29)91186-8
B. A. Abu-Hijleh M. Al-Nimr (2001) Int. J. Heat Mass Transfer 44 1565 Occurrence Handle10.1016/S0017-9310(00)00207-6
D. A. S. Rees and K. Vafai, Numer. Heat Transfer A (35): 191(1999).
H. S. Kou D. Huang (1996) Int. Comm. Heat Mass Transfer 23 1031 Occurrence Handle10.1016/0735-1933(96)00085-1
M. A. Al-Nimr S. Kiwan (2002) J. Porous Media 5 35
D. A. S. Rees I. Pop (2000) J. Porous Media 3 31
D. A. Nield A. V. Kuznetsov (1999) Int. J. Heat Mass Transfer 24 3245 Occurrence Handle10.1016/S0017-9310(98)00386-X
A. V. Kuznetsov (1996) J. Tech Phys. 41 760
Yu. A. Buyevich (1995) Transport in Porous Media 21 145 Occurrence Handle10.1007/BF00613753
M.A. Al-Nimr B. Abu-Hijleh (2002) Transport in Porous Media 49 127 Occurrence Handle10.1023/A:1016072713296
Y. X. Tao D. M. Gray (1993) Int. Comm. Heat Mass Transfer 20 323 Occurrence Handle10.1016/0735-1933(93)90018-Q
K. Vafai M. Sozen (1990) ASME J. Heat Transfer 112 690
M. Riaz (1977) ASME J. Heat Transfer 99 489
A. A. Mohamad (2001) J. Porous Media 4 181
A. Bejan (1993) Heat Transfer John Wiley New York 365
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Khadrawi, A.F., Tahat, M.S. & Al-Nimr, M.A. Validation of the Thermal Equilibrium Assumption in Periodic Natural Convection in Porous Domains. Int J Thermophys 26, 1633–1649 (2005). https://doi.org/10.1007/s10765-005-8109-2
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10765-005-8109-2