Titlebook: Conservation Laws in Variational Thermo-Hydrodynamics; Stanislaw Sieniutycz Book 1994 Springer Science+Business Media Dordrecht 1994 Dissi

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User Capabilities and Limitationsroperties of solutions and to determine physical quantities which are constant in time. Therefore finding the conservation laws is an important problem, encountered in fluid mechanics and nonequilibrium thermodynamics of continua.

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Supportive Tools and Techniquesdetermine explicit formulas describing the lagrangian density of one-component fluid. The lagrangian density is associated with the energy density expressed as functions of classical variables and the diffusive entropy flux (a non-equilibrium variable). We will apply this lagrangian density to obtai

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Tailored Measures of Performanceuids, off local equilibrium. The effect of thermal inertia is also taken into account following the approach developed in Chaps. 4 – 5 (resting on the coefficient g of statistical mechanics rather than the coefficient θ of Chap. 6). Extremum conditions of action yield Clebsch representations of temp

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Tailored Measures of Performanceations are quite fundamental for reversible thermo-hydrodynamic processes. Unfortunately, however, very little has been done until now towards development and application of the Legendre transformations for irreversible processes. In previous chapters unification has been achieved between the mechan

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Interaction and Mental Involvement of the implications of nonequilibrium statistical mechanics (Grad 1958) or as a macroscopic extension of the “micro-thermodynamics” of de Broglie (de Broglie 1964). To characterize thermal inertia the coefficient g of Chap. 5 or the inertial coefficient θ of Chap. 6 are used. Principle of their eva

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K. Yamakawa,T. Kato,J. Kawamuraavior are sometimes called the power criteria; they involve the time change of a thermodynamic potential as a integrand of the functional extremized subject the balance or conservation laws and/or certain conditions imposed on intensive parameters, e. g., the isothermicity condition. Here we investi