Heat Conduction: Hyperbolic Self-similar Shock-waves in Solid Medium
- *Corresponding Author:
- Barna IF
Wigner Research Center of the Hungarian Academy of Sciences
Konkoly Thege Miklós út 29-33, Budapest, Hungary
E-mail: [email protected]
Received Date: February 29, 2016; Accepted Date: April 14, 2016; Published Date: May 03, 2016
Citation: Barna IF, Kersner R (2016) Heat Conduction: Hyperbolic Selfsimilar Shock-waves in Solid Medium. J Generalized Lie Theory Appl S2:010. doi:10.4172/1736-4337.S2-010
Copyright: © 2016 Barna IF, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Analytic solutions for cylindrical thermal waves in solid medium are given based on the nonlinear hyperbolic
system of heat flux relaxation and energy conservation equations. The Fourier-Cattaneo phenomenological law
is generalized where the relaxation time and heat propagation coefficient have a general power law temperature
dependence. From such laws one cannot form a second order parabolic or telegraph-type equation.We consider the
original non-linear hyperbolic system itself with the self-similar Ansatz for the temperature distribution and for the heat
flux. As results continuous.