Fast-converging series for heat conduction in the circular cylinder

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7 Scopus citations


Steady heat conduction in the finite, right-circular cylinder is treated with the method of Green's functions for a variety of boundary conditions. Three forms of the series for the Green's function are discussed: a triple-sum series obtained from eigenfunction expansions; an alternate triple-sum series with improved series convergence found with the method of time partitioning; and, a double-sum series. Influence functions appropriate for the boundary-element method are constructed with the Green's functions to describe a cylinder heated by a specified heat flux over a portion of one face. Numerical examples are given.

Original languageEnglish (US)
Pages (from-to)217-232
Number of pages16
JournalJournal of Engineering Mathematics
Issue number3
StatePublished - Jul 2004


  • Cylinder
  • Green's functions
  • Laplace equation
  • Series convergence
  • Time partitioning

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)


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