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The effect of conducting bounding plates on the onset of Horton–Rogers–Lapwood convection

Mojtabi, Abdelkader and Rees, D. Andrew The effect of conducting bounding plates on the onset of Horton–Rogers–Lapwood convection. (2011) International Journal of Heat and Mass Transfer, 54 (1-3). 293-301. ISSN 0017-9310

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Official URL: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2010.08.025


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, delta, and their relative conductivities, d. For the long wavelength mode it is precisely Ra-c = 12(1 + 2 delta d).

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com/science/article/pii/S0017931010005326?via=ihub
HAL Id:hal-00965648
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > University of Bath (UNITED KINGDOM)
Laboratory name:
Deposited On:25 Mar 2014 13:07

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