Studies in the Dynamics of Viscous Fluids Conducting Heat.
NORTH CAROLINA STATE UNIV RALEIGH
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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 Rayleighs 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 Rayleighs problem to a transmission line problem, and a new interpretation of the Rayleigh line for viscous shock-structures. Author