Effect of sinusoidal variations of boundary conditions on unsteady double diffusive convection in a square enclosure filled with a porous medium

Abstract

Purpose

The purpose of this paper is to deal with unsteady double diffusive natural convection in a square enclosure filled with a porous medium with various boundary condition effects in the presence of heat source or sink.

Design/methodology/approach

Finite difference method was employed to solve the dimensionless governing equations of the problem. The effects of governing parameters, namely, amplitude wave length ratio, dimensionless time parameter, Darcy number, buoyancy parameter and heat generation/absorption parameter on the streamlines, temperature and concentration contours, as well as Nusselt number and Sherwood number, were considered.

Findings

The sinusoidal variations of the temperature and concentration remove the singularities which appear in the case of fixed temperature and concentration.

Originality/value

The paper's results are validated by favorable comparisons with previously published results. The results of the problem are presented in graphical and tabular forms and discussed.

Citation

Mansour, M.A., Abd‐Elaziz, M.M., Abdalla, R. and Elsayed, S. (2012), "Effect of sinusoidal variations of boundary conditions on unsteady double diffusive convection in a square enclosure filled with a porous medium", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22 No. 1, pp. 129-146. https://doi.org/10.1108/09615531211188838