
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 socalled 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 nonequilibrium entropy in terms of a certain functional which satisfies a ClausiusDuhem 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