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Thermodynamics of simple mixtures of fluids with application to second sound and liquid helium. (English) Zbl 0701.76105

Mathematical models and methods in mechanics, Banach Cent. Publ. 15, 543-592 (1985).
[For the entire collection see Zbl 0653.00013.]
Contents:
1. Thermodynamic processes. a. Objective of thermodynamics of mixtures of fluids. b. Equation of balance. c. Constitutive relations.
2. Entropy principle. a. Purpose of the entropy principle. b. The entropy postulate. c. Evaluation of the entropy principle. d. Transport equations for diffusion and heat conduction.
3. Diffusion and wave propagation in simple mixtures. a. Alternative form of field equations in mixtures. b. Linear wave equations for a binary mixture. c. Amplitudes of first and second sound.
4. Liquid helium 4 as a special binary mixture. a. Assumptions leading to Landau’s theory of liquid helium. b. Landau’s linearized equations. c. Landau’s wave equations. d. Amplitudes of first and second sound. e. Liquid helium in rotation.

MSC:

76T99 Multiphase and multicomponent flows
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics
80A17 Thermodynamics of continua
82-02 Research exposition (monographs, survey articles) pertaining to statistical mechanics
76Y05 Quantum hydrodynamics and relativistic hydrodynamics

Citations:

Zbl 0653.00013