A class of similarity solutions for the nonlinear thermal conduction problem

Autor: J F McGrath, F J Mayer, J W Steele
Rok vydání: 1983
Předmět:
Zdroj: Journal of Physics A: Mathematical and General. 16:3393-3400
ISSN: 1361-6447
0305-4470
DOI: 10.1088/0305-4470/16/14/031
Popis: A class of self-similar solutions are rederived for the nonlinear thermal conduction problem. Variational methods applied to the heat flux provide an expression valid over a broad range of physical parameters. The results are particularly useful for the understanding of heat flux in the plasmas of internal confinement fusion. They describe both rapid laser and radiant heating of matter. The developments are shown to correspond well to several classical examples.
Databáze: OpenAIRE