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On the numerical solution of phase change problems in transient non‐linear heat conduction
Author(s) -
Mastanaiah K.
Publication year - 1976
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.1620100410
Subject(s) - thermal conduction , transient (computer programming) , finite difference method , mathematics , slab , projection (relational algebra) , finite difference , mechanics , phase change , projection method , boundary value problem , stability (learning theory) , mathematical analysis , physics , thermodynamics , mathematical optimization , computer science , dykstra's projection algorithm , algorithm , machine learning , geophysics , operating system
A finite difference solution for the transient non‐linear heat conduction with phase change in a finite slab is proposed. A two‐time level implicit method is used while Taylor's forward projection method is employed for taking into account the non‐linearities. The stability due to the boundary conditions at the moving front is verified. The numerical solution is compared with the analytical solutions and found to be in close agreement.