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 journalArticlepeer-review

25 Scopus citations


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
Issue number19-20
StatePublished - Sep 2008


  • Analytical solutions
  • Heat conduction
  • Improved convergence
  • Plates

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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