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Axisymmetric Heat Transfer

  • Prem K. Kythe
  • Dongming Wei

Abstract

In this chapter we introduce axisymmetric elements for heat transfer problems in axisymmetric domains. First, we discuss the radially symmetric finite element that reduces to the one-dimensional case, similar to the one studied in Chapter 3, and present examples of heat conduction in axisymmetric solids. Next we derive the linear triangular and bilinear rectangular elements for standard linear heat transfer problems in both solid and fluid medium, and then we present an application of the element for a nonlinear heat transfer problem. We also provide a finite element Fortran code that uses the axisymmetric linear triangular element and a Newton’ iterative solver as well as numerical solutions of an industrial example.

Keywords

Heat Transfer Linear Element Local Matrice Heat Transfer Problem Annular Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Prem K. Kythe
    • 1
  • Dongming Wei
    • 1
  1. 1.Department of MathematicsUniversity of New OrleansNew OrleansUSA

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