Accession Number : AD0726188

Title :   Studies in the Dynamics of Viscous Fluids Conducting Heat.

Descriptive Note : Technical rept.,

Corporate Author : NORTH CAROLINA STATE UNIV RALEIGH

Personal Author(s) : Horie,Yasuyuki

Report Date : JUN 1971

Pagination or Media Count : 49

Abstract : Problem solutions for non-ideal compressible fluids are known to be singular when the coefficients of viscosity and thermal conduction approach zero. The solutions of ideal fluids may not be recovered from the non-ideal solutions. Introducing a simple physical idea that non-equilibrium effects are explicity time-dependent, the treatment formulates non-ideal fluids which show no such effects. Applications are made to four simple cases which may be analyzed by elementary means: characteristics motions, dispersion relations, plane shocks of steady profile, and Rayleigh's flat plate problem. The major results involve a demonstration that asymptotic paradoxes appear when non-commutable limit operations are violated, the existence of a thermodynamical stability criterion of fluid flows, the equivalence of Rayleigh's problem to a transmission line problem, and a new interpretation of the Rayleigh line for viscous shock-structures. (Author)

Descriptors :   (*FLUIDS, THERMAL CONDUCTIVITY), VISCOSITY, MATHEMATICAL ANALYSIS, HEAT TRANSFER, PROBLEM SOLVING, COMPRESSIBLE FLOW, EQUATIONS OF MOTION

Subject Categories : Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE