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A numerical solution for the symmetric melting of spheres
Author(s) -
Grimado Philip B.,
Boley Bruno A.
Publication year - 1970
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620020204
Subject(s) - spheres , thermal conduction , mathematics , embedding , ordinary differential equation , mathematical analysis , constant (computer programming) , scheme (mathematics) , numerical integration , variable (mathematics) , numerical analysis , heat equation , differential equation , physics , computer science , thermodynamics , astronomy , artificial intelligence , programming language
Abstract A numerical method is presented for the solution of the radially symmetric heat conduction problem in a melting sphere. The method employs the embedding technique; this permits the solution to be written in the form of an ordinary integro‐differential equation which is readily solved numerically by means of a forward integration scheme. The accuracy of the method is briefly discussed and numerical results for both constant and variable heat inputs are presented.