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Axisymmetric Heat Transfer

In: An Introduction to Linear and Nonlinear Finite Element Analysis

Author

Listed:
  • Prem K. Kythe

    (University of New Orleans, Department of Mathematics)

  • Dongming Wei

    (University of New Orleans, Department of Mathematics)

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.

Suggested Citation

  • Prem K. Kythe & Dongming Wei, 2004. "Axisymmetric Heat Transfer," Springer Books, in: An Introduction to Linear and Nonlinear Finite Element Analysis, chapter 8, pages 175-206, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-8160-9_8
    DOI: 10.1007/978-0-8176-8160-9_8
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