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Remarks on wave solutions of the nonlinear heat-conduction equation

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Abstract

Wave solutions of the nonlinear heat-conduction equation are analyzed and their relation to self-similar solutions is established. Solutions of the hyperbolic and the nonlinear heat-conduction equations are compared.

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Abbreviations

k(T):

thermal diffusivity coefficient

α:

relaxation parameter

g2=λ0/cv@ρα:

square of the heat wave velocity

λ0 and k0 :

heat-conduction and thermal diffusivity constant

ρ:

density

cv :

specific heat at constant volume

T:

temperature

t:

time

x, y, z:

space coordinates

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Author information

Authors and Affiliations

  1. Moscow Tool Institute, USSR

    V. A. Bubnov

Authors
  1. V. A. Bubnov
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Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 40, No. 5, pp. 907–913, May, 1981.

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Bubnov, V.A. Remarks on wave solutions of the nonlinear heat-conduction equation. Journal of Engineering Physics 40, 565–571 (1981). https://doi.org/10.1007/BF00822128

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  • DOI: https://doi.org/10.1007/BF00822128

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