Conduction in rectangular plates with boundary temperatures specified

James V. Beck, Neil T. Wright, A. Haji-Sheikh, Kevin D Cole, Donald E. Amos

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Steady-state components of heat conduction solutions may have very slowly convergent series for temperatures and non-convergent heat fluxes for temperature boundary conditions. Previous papers have proposed methods to remove these convergence problems. However, even more effective procedures based on insights of Morse and Feshbach are given herein. In some cases it is possible to replace poorly-convergent or non-convergent series by closed-form algebraic solutions. Examples are given.

Original languageEnglish (US)
Pages (from-to)4676-4690
Number of pages15
JournalInternational Journal of Heat and Mass Transfer
Volume51
Issue number19-20
DOIs
StatePublished - Sep 1 2008

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rectangular plates
conduction
Heat conduction
conductive heat transfer
Heat flux
heat flux
Boundary conditions
boundary conditions
Temperature
temperature

Keywords

  • Analytical solutions
  • Heat conduction
  • Improved convergence
  • Plates

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Energy(all)
  • Mechanical Engineering

Cite this

Conduction in rectangular plates with boundary temperatures specified. / Beck, James V.; Wright, Neil T.; Haji-Sheikh, A.; Cole, Kevin D; Amos, Donald E.

In: International Journal of Heat and Mass Transfer, Vol. 51, No. 19-20, 01.09.2008, p. 4676-4690.

Research output: Contribution to journalArticle

Beck, James V. ; Wright, Neil T. ; Haji-Sheikh, A. ; Cole, Kevin D ; Amos, Donald E. / Conduction in rectangular plates with boundary temperatures specified. In: International Journal of Heat and Mass Transfer. 2008 ; Vol. 51, No. 19-20. pp. 4676-4690.
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