AN APPROXIMATE ANALYTICAL (INTEGRAL-BALANCE) SOLUTION TO A NONLINEAR HEAT DIFFUSION EQUATION

Abstract

The communication presents a closed form approximate solution of the nonlinear diffusion equation of a power-law nonlinearity of the diffusivity developed by the heat-balance integral method. The main step in the initial transformation of the governing equation avoiding the Kirchhoff transformation is demonstrated. The consequent application of the integral method is exemplified by a solution of a Dirichlet problem with an approximate parabolic profile. Cases with predetermined positive integer and optimized non-integer exponents have been analyzed.

Keywords

Dates

  • Submission Date2014-03-26
  • Revision Date2014-04-19
  • Acceptance Date2014-06-13
  • Online Date2014-06-21

DOI Reference

10.2298/TSCI140326074H

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