EXACT FINITE ELEMENT SOLUTIONS FOR LINEAR STEADY-STATE THERMAL PROBLEMS.

Earl A. Thornton, Pramote Dechaumphai, Kumar K. Tamma

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

An approach for developing exact conduction-convection finite elements is presented. For one-dimensional problems and a quasi two-dimensional problem interpolation functions are derived based on solutions to the governing differential equations. Exact interpolation functions are presented for combined heat transfer in several solids of different shapes and for combined heat transfer in a flow passage. Numerical results demonstrate that exact elements offer significant advantages over elements based on approximate interpolation functions.

Original languageEnglish (US)
Title of host publicationNumerical Methods in Heat Transfer
EditorsRoland Wynne Lewis, Kenneth Morgan, B.A. Schrefler
PublisherJohn Wiley & Sons
Pages37-52
Number of pages16
ISBN (Print)0471900648
StatePublished - Dec 1 1983

Publication series

NameNumerical Methods in Heat Transfer
Volume2

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  • Cite this

    Thornton, E. A., Dechaumphai, P., & Tamma, K. K. (1983). EXACT FINITE ELEMENT SOLUTIONS FOR LINEAR STEADY-STATE THERMAL PROBLEMS. In R. W. Lewis, K. Morgan, & B. A. Schrefler (Eds.), Numerical Methods in Heat Transfer (pp. 37-52). (Numerical Methods in Heat Transfer; Vol. 2). John Wiley & Sons.