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A hyperbolic Stefan problem

L. M. De SocioPolytechnic of Turin) ANDG. GualtieriPolytechnic of Turin) AND
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Abstract

Heat conduction is considered in a semi-infinite solid subjected to a high step change in surface heat flux, such that melting occurs. A time-dependent relaxation model for the energy flux is assumed, leading to a non-Fourier, non-linear equation for the thermal field, which is solved under suitable conditions on the interface displacement.

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