Accession Number : AD0701326

Title :   ON THE LINEAR THEORY OF HEAT CONDUCTION.

Descriptive Note : Technical rept.,

Corporate Author : LEHIGH UNIV BETHLEHEM PA CENTER FOR THE APPLICATION OF MATHEMATICS

Personal Author(s) : Meixner ,Joseph

Report Date : JAN 1970

Pagination or Media Count : 49

Abstract : A general linear theory of heat conduction is developed. General representation theorems are derived for the relations between energy, heat flow and temperature, temperature gradient. They contain aftereffect functions of a well defined class, the so-called positive definite functions. The results are given for isotropic as well as anisotropic materials. For a particular class of materials, noted as of the relaxation type, it is possible to give a non-equilibrium entropy in terms of a certain functional which satisfies a Clausius-Duhem inequality. Also a model for linear heat conduction in this class of materials is given which consists of a thermodynamic formalism with internal variables. (Author)

Descriptors :   (*CONDUCTION(HEAT TRANSFER), THEORY), INEQUALITIES, HEAT FLUX, ENERGY, TEMPERATURE, ENTROPY, ISOTROPISM, ANISOTROPY, PARTIAL DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS

Subject Categories : Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE