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Heat transfer during fluidized‐bed coating
Author(s) -
Meyer Gunter H.
Publication year - 1975
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.1620090313
Subject(s) - free boundary problem , boundary value problem , mathematics , discretization , mixed boundary condition , mathematical analysis , partial differential equation , robin boundary condition , heat transfer , boundary (topology) , singular boundary method , neumann boundary condition , ordinary differential equation , cylinder , mechanics , differential equation , boundary element method , geometry , physics , thermodynamics , finite element method
A fully implicit numerical method for linear parabolic free boundary problems with coupled and integral boundary conditions is described. The partial differential equation and the boundary conditions are time discretized with the method of lines. An auxiliary function is introduced to remove the coupled and integral boundary conditions from the resulting free boundary problem for ordinary differential equations. Once separated boundary conditions are obtained, invariant imbedding is used to solve the free boundary problem numerically. The method is illustrated by solving the heat transfer equations for the fluidized‐bed coating of a thin‐walled cylinder.