Abstract
A mathematical model of buoyancy induced flows next to a vertical wall of ice melting in porous media saturated with water is studied. With the boundary layer approximation and a similarity transformation, a two-point boundary value problem (BVP) is formed and, then, studied by the multiple shooting code BVPSOL. Numerical solutions are found in two disjoint regions of ambient water temperature for various salinity levels. In each region, solutions are obtained by applying the continuity process which gives, respectively, a smooth bifurcation curve of the appropriate parameter. Multiple solutions are found at some ambient temperatures in these two regions. Some of them are similar. The others indicate physically the potential existence of a large amount of energy for any trend arising that drives one flow state to another.
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