Studies in the Dynamics of Viscous Fluids Conducting Heat.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1971
- Accession Number
- AD0726188
Entities
People
- Y. Horie
Organizations
- North Carolina State University