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22                         2  Simulating Steady-State Natural Convective Problems









































            Fig. 2.6 Comparison of numerical solution with analytical solution (Dimensionless temperature)



            in a progressive asymptotic manner. However, since there are two possible non-
            symmetric solutions for convective pore-fluid flow, namely a clockwise convective
            flow and an anti-clockwise convective flow, the solution dependence on the direction
            of the initially-tilted small angle cannot be avoided.



            2.6 Application of the Progressive Asymptotic Approach
                Procedure Associated with Finite Element Analysis

            2.6.1 Two-Dimensional Convective Pore-Fluid Flow Problems

            The present progressive asymptotic approach procedure is employed to investi-
            gate the effect of basin shapes on natural convection in a fluid-saturated porous
            medium when it is heated from below. Three different basin shapes having square,
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