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Onset of Double Diffusive Convection in a Thermally Modulated Fluid-Saturated Porous Medium

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Onset of Double Diffusive Convection in a Thermally Modulated Fluid-Saturated Porous Medium

Beer S. Bhadauriaaand Aalam Sheranib

aDepartment of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi-221005, India

bDepartment of Mathematics and Statistics, Faculty of Science, Jai Narain Vyas University, Jodhpur-342005, India

Reprint requests to B. S. B.; E-mail: drbsbhadauria@yahoo.com Z. Naturforsch.63a,291 – 300 (2008); received November 2, 2007

The onset of double diffusive convection in a sparsely packed porous medium was studied un- der modulated temperature at the boundaries, and a linear stability analysis has been made. The primary temperature field between the walls of the porous layer consisted of a steady part and a time- dependent periodic part and the Galerkin method and the Floquet were used. The critical Rayleigh number was found to be a function of frequency and amplitude of modulation, Prandtl number, porous parameter, diffusivity ratio and solute Rayleigh number.

Key words:Double Diffusive Convection; Thermal Modulation; Rayleigh Number;

Porous Medium.

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