Resonance of natural convection coupled with radiation in a square cavity heated with a sinusoidal temperature


R. El Ayachi1, A. Raji1*, M. Hasnaoui2, A. Abdelbaki2, M. Naïmi1, A. Bahlaoui1, C. Ouardi1

1Faculty of Sciences and Technologies, Department of Physics, Sultan Moulay Slimane University, Laboratory of Flows and Transfers Modeling (LAMET), B. P. 523, Béni-Mellal, Morocco

2 Faculty of Sciences Semlalia, Department of Physics, Cadi Ayyad University,

Laboratory of Fluid Mechanics and Energetics, B. P. 2390, Marrakesh, Morocco

* Corresponding author. E-mail:

Received: 26 January 2009; revised version accepted: 16 March 2009



     The coupling between natural convection and surface radiation in a square cavity with its vertical walls submitted to different heating modes is studied numerically. The temperature of the left hot vertical surface is varied sinusoidally with time, while that of the opposite cold surface is maintained constant. The remaining horizontal walls are adiabatic. The parameters governing the problem are the emissivity of the walls (0 = e = 1), the amplitude (0 = a = 1) and the period (0.001 = t = 1) of the variable temperature, the Rayleigh number (Ra = 106) and the Prandtl number (Pr = 0.72). The results obtained show that the heat transfer could be significantly enhanced, with respect to the case of a constant heating temperature, by a proper choice of the parameters related to the periodic temperature and the emissivity of the walls.


Keywords: Natural convection ; Sinusoidal heating temperature ; Numerical study ; Resonance phenomenon.

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