Analysis for transient heat conduction

A new method was developed to solve the nonsteady-state heat conduction problems by superposing solutions of steady state and simultaneous transient heat conduction problems. These steady-state heat conduction problems and eigenvalue problems equivalent to the simultaneous transient heat conduction...

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Bibliographic Details
Published inNihon Kikai Gakkai rombunshuu. B hen Vol. 55; no. 514; pp. 1661 - 1665
Main Author Hamanaka, J
Format Journal Article
LanguageJapanese
Published 01.01.1989
Subjects
computational analysis
finite element method
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Summary:A new method was developed to solve the nonsteady-state heat conduction problems by superposing solutions of steady state and simultaneous transient heat conduction problems. These steady-state heat conduction problems and eigenvalue problems equivalent to the simultaneous transient heat conduction problem were formulated by the finite element method. Especially the eigenvalue problem equivalent to the simultaneous transient heat conduction was discretized in space by newly derived variational principle. This method was found to give a more accurate solution than that given by the ordinary finite element method using Crank Nicholson method.
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ISSN:0387-5016