Analytic Solution of the Nonlinear Heat Conduction Equation.

Abstract

Analytic solution of the nonlinear heat conduction equation is presented. The solution technique is applicable to thermally anisotropic and isotropic media with temperature dependent thermal properties. It is shown that the nonlinear equations can be converted to linear equations with the aid of an algebraic transformation. The algebraic transformation is used to determine the temperature field and the heat transfer in two dimensional isotropic and anisotropic media. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1970
Accession Number
AD0717868

Entities

People

  • Antonio Compo
  • Howard S. Wolko

Organizations

  • Texas A&M University

Tags

DTIC Thesaurus Topics

  • Energy Transfer
  • Equations
  • Heat Transfer
  • Mathematics
  • Thermal Properties
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Polymer Science and Engineering.
  • Structural Dynamics.