A Multiphase Stefan Problem with a Convective Boundary Condition at the Fixed Face
DOI:
https://doi.org/10.70567/mc.v42.ocsid8424Keywords:
n-phase Stefan problem, Convective boundary condition, Similarity-type solution, Asymptotic behaviourAbstract
A one-dimensional multiphase Stefan problem is considered, modeling the phase-change of a semi-infinite material under a convective or a Robin-type boundary condition at the fixed face. Sufficient conditions are established on the parameter characterizing the heat transfer at this boundary to guarantee the existence and uniqueness of a similarity-type solution. In the case where this parameter goes to infinity, the solution of this problem converges to that of the case with a Dirichlet-type condition at the fixed face.
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