TY - JOUR
T1 - The effect of conducting bounding plates on the onset of Horton-Rogers-Lapwood convection
AU - Mojtabi, Abdelkader
AU - Rees, D Andrew S
PY - 2011/1/3
Y1 - 2011/1/3
N2 - We present an analytical and numerical stability analysis of the onset of natural convection in a horizontal fluid-saturated porous cavity. The cavity is bounded by thin horizontal plates with uniform thickness whose outer surfaces are subject to a constant heat flux. The main aim is to determine the effect of the presence of the bounding plates on the onset of convection. The onset criterion is found to be sensitively dependent on the relative thickness of the plates and the porous layer, , and their relative conductivities, d. For the long wavelength mode it is precisely Rac = 12(1 + 2d).
AB - We present an analytical and numerical stability analysis of the onset of natural convection in a horizontal fluid-saturated porous cavity. The cavity is bounded by thin horizontal plates with uniform thickness whose outer surfaces are subject to a constant heat flux. The main aim is to determine the effect of the presence of the bounding plates on the onset of convection. The onset criterion is found to be sensitively dependent on the relative thickness of the plates and the porous layer, , and their relative conductivities, d. For the long wavelength mode it is precisely Rac = 12(1 + 2d).
UR - http://www.scopus.com/inward/record.url?scp=78449311778&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1016/j.ijheatmasstransfer.2010.08.025
U2 - 10.1016/j.ijheatmasstransfer.2010.08.025
DO - 10.1016/j.ijheatmasstransfer.2010.08.025
M3 - Article
SN - 0017-9310
VL - 54
SP - 293
EP - 301
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
IS - 1-3
ER -