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Various approaches for solving problems in heat conduction with phase change

Canot, E. , March, E. , Muhieddine, M.
2009
IJFV International Journal On Finite Volumes, 09. Volume 6 N¡ã1


Canot, E. , March, E. , Muhieddine, M., (2009), "Various approaches for solving problems in heat conduction with phase change", IJFV International Journal On Finite Volumes, 09. Volume 6 N¡ã1.
Abstract:
This paper treats a one dimensional phase-change problem, ¡¯ice melting¡¯, by a vertex-centered finite volume method. Numerical solutions are obtained by using two approaches where the first one is based on the heat conduction equation with the basic grid (improved by introducing a new adaptive mesh technique), latent heat source approach (LHA), while the second uses the equivalent thermodynamic parameters defined by considering the apparent heat capacity method (AHC).

A comparison between the two approaches is presented, furthermore the accuracy and flexibility of the numerical methods are verified by comparing the results with existing analytical solutions. Results indicate that phase-change problems can be handled easily with excellent accuracies by using the AHC method.

Paper presented by: F. Benkhaldoun and J.M. Herard


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