APPLICATION OF HYBRID LAPLACE TRANSFORM/ FINITE-DIFFERENCE METHOD TO TRANSIENT HEAT CONDUCTION PROBLEMS

A new method involving the combined use of the Laplace transform and the finite-difference method is applicable to two- and three-dimensional linear transient heat conduction problems. The method removes the time dependences from the governing differential equations and boundary conditions by using...

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Vydáno v:Numerical heat transfer Ročník 14; číslo 3; s. 343 - 356
Hlavní autoři: Chen, Han-Taw, Chen, Cha'o-Kuang
Médium: Journal Article
Jazyk:angličtina
Vydáno: Washington Taylor & Francis Group 01.10.1988
Hemisphere Publishing Corporation
Témata:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Heat conduction
Heat transfer
Physics
Laplace transformation
Theory
Heat transfer
Transitory
Thermal conduction
Finite difference method
ISSN:0149-5720
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Shrnutí:A new method involving the combined use of the Laplace transform and the finite-difference method is applicable to two- and three-dimensional linear transient heat conduction problems. The method removes the time dependences from the governing differential equations and boundary conditions by using the Laplace transform and then solves the transformed equations with the finite-difference method. The transformed temperature is inverted by the method of Honig and Hirdes to obtain the result in the physical quantity. The results are compared in tables with exact solutions and other numerical data, and the agreement is found to be good. The method can also be used to calculate the specific nodal temperature at a specific time.
ISSN:0149-5720
DOI:10.1080/10407788808913648