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Erschienen in:
2004 | OriginalPaper | Buchkapitel
Cylindrical and Spherical Solidification in Heat Transfer
Erschienen in: Mathematical Modelling
Verlag: Springer Netherlands
Enthalten in: Professional Book Archive
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This case study uses mathematical modelling to describe, develop and compare several effective methods for the numerical solution of one-dimensional Stefan problems. It is not intended to be an exhaustive treatment but is restricted to a range of problems and geometries including melting in the half-plane, outward cylindrical solidification and outward spherical solidification. The methods used include the enthalpy method, boundary immobilization method, perturbation method, nodal integral method and heat balance integral method. From the comparison of numerical results obtained the models can be validated and some helpful comments can be made which may prove valuable in the future use of these methods for problems of this type.