Tau Method Applied to a Two-Phase Stefan Problem with Variable Thermal Coefficients
DOI:
https://doi.org/10.70567/mc.v41i15.78Palabras clave:
Variable thermal coefficients, Stefan problem, similarity-type solution, Tau methodResumen
A two-phase Stefan problem for a semi-infinite material with power-type temperature dependent thermal coefficients is considered. By using the similarity transformation, an equivalent ordinary differential problem is obtained. On one hand, the existence and uniqueness of the solution are proved by imposing a Dirichlet boundary condition at the fixed face. On the other hand, approximate solutions are obtained using the Tau method, which is based on the shifted Chebyshev operational matrix of differentiation. For the particular case that arises when considering constant thermal coefficients, the exact solution available in the literature is compared with the approximate one in order to test the accuracy of the employed approximation method.
Citas
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Derechos de autor 2024 Asociación Argentina de Mecánica Computacional
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