Numerical solution of a moving-boundary problem with variable latent heat

Homotopy perturbation method for a Stefan problem with variable latent heat

“…Later, Capart et al [3] presented mathematical solutions for several sedimentary problems featuring semi-infinite alluvial channels evolving under diffusional sediment transport. In 2009, Rajeev et al [5] presented a numerical method for a moving boundary problem with variable latent heat and the comparisons were made with the results of Voller et al [2]. They have shown how shoreline problem can be solved by using the same numerical tools which were already used for solving classical Stefan's melting problem.…”

One-dimensional non-Darcy flow in a semi-infinite porous media: a multiphase implicit Stefan problem with phases divided by hydraulic gradients

“…Equation (36) shows that η i in different subregions have the same form, thus we can write the solution of u(z, t) in general form from Eqs. (9) and (15) as…”

“…The physical background of the Stefan problem lies in many aspects, such as the solidification of the alloy melt [6], the melting and ablation during the laser heating process [7,8], the shore-line movement problem [9,10], the freeze and thaw of humid porous media [11,12], the hydration process of the soybean [13,14], and the flow in porous media [15,16]. In most situations, the Stefan problem can only be solved numerically; however, finding analytical solutions for the problem has always been of great interest to the researchers.…”

Exact solution for Stefan problem with general power-type latent heat using Kummer function

“…Recently, a Stefan problem with space-dependent latent heat has attracted much attention [10][11][12][13][14][15]. Voller et al [12] presented an exact solution for a one-phase Stefan problem with latent heat a linear function of position.…”