Accession Number : AD0652586
Title : SOME PROPERTIES OF GASES WITH VIBRATIONAL RELAXATION WHEN VIEWED AS MATERIALS WITH MEMORY.
Descriptive Note : Technical rept.,
Corporate Author : CARNEGIE INST OF TECH PITTSBURGH PA DEPT OF MATHEMATICS
Personal Author(s) : Coleman,Bernard D. ; Gurtin,Morton E.
Report Date : FEB 1967
Pagination or Media Count : 25
Abstract : In recent years there has been developed a general thermodynamics of materials for which the stress, temperature, and energy depend on the histories of the strain and another variable, such as the entropy. Here we discuss the compatibility of that thermodynamical theory with a special theory of mechanical dissipation which has been successfully used in physical gas dynamics: the theory of gases with vibrational relaxation. Granting, without detailed study, certain technical points involving the uniqueness and stability of solutions of a class of non-linear integral equations, we observe that the theory of relaxing gases can be imbedded in the framework of the thermodynamics of materials with memory, provided only that we identify 'the temperature' of the thermodynamical theory with the 'translational' or ('active-mode') temperature of the internal-relaxation theory. (Author)
Descriptors : (*GASES, THERMODYNAMICS), VISCOELASTICITY, CONTINUUM MECHANICS, INTEGRAL EQUATIONS, STRESSES, TEMPERATURE, VIBRATION, DYNAMICS
Subject Categories : Thermodynamics
Distribution Statement : APPROVED FOR PUBLIC RELEASE