Applied Scientific Research

, Volume 54, Issue 2, pp 137-160

First online:

Moving boundaries due to distributed sources in a slab

  • S. C. GuptaAffiliated withDepartment of Mathematics, Indian Institute of Science

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Analytical and numerical solutions have been obtained for some moving boundary problems associated with Joule heating and distributed absorption of oxygen in tissues. Several questions have been examined which are concerned with the solutions of classical formulation of sharp melting front model and the classical enthalpy formulation in which solid, liquid and mushy regions are present. Thermal properties and heat sources in the solid and liquid regions have been taken as unequal. The short-time analytical solutions presented here provide useful information. An effective numerical scheme has been proposed which is accurate and simple.

Key words

moving boundary mushy region weak enthalpy formulation oxygen-diffusion model