ON THE LINEAR THEORY OF HEAT CONDUCTION.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1970
- Accession Number
- AD0701326
Entities
People
- Joseph Meixner
Organizations
- Lehigh University