Search results for "Gibbs–Helmholtz equation"

showing 2 items of 2 documents

Thermodynamic pressure in nonlinear nonequilibrium thermodynamics of dilute nonviscous gases.

2000

In this paper, using extended thermodynamics, we build up a nonlinear theory for a dilute nonviscous gas under heat flux. The fundamental fields are the density, the velocity, the internal energy density, and the heat flux. The constitutive theory is builtup without approximations. We single out the nonlinear complete expressions of the Gibbs equation and of the nonequilibrium pressure. In particular, we determine the complete expressions furnished by the theory for the nonequilibrium pressure tensor and thermodynamic pressure, i.e., the derivative of the nonequilibrium internal specific entropy with respect to the specific volume, times the nonequilibrium temperature. In a second-order app…

Physicssymbols.namesakeEntropy (classical thermodynamics)Nonlinear systemInternal energyFundamental thermodynamic relationHeat fluxGibbs–Helmholtz equationsymbolsThermodynamicsNon-equilibrium thermodynamicsThermal conductionPhysical review. E, Statistical, nonlinear, and soft matter physics
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Gibbs equation in the nonlinear nonequilibrium thermodynamics of dilute nonviscous gases

2003

AbstractThis paper deals with the derivation of the Gibbs equation for a nonviscous gas in the presence of heat flux. The analysis aims to shed some light on the physical interpretation of thermodynamic potentials far from equilibrium. Two different definitions for the chemical potential and thermodynamic pressure far from equilibrium are introduced: nonequilibrium chemical potential and nonequilibrium thermodynamic pressure at constant heat flux q and nonequilibrium chemical potential and nonequilibrium thermodynamic pressure at constant J = Vq, where V is the specific volume.

Thermodynamic stateThermodynamic equilibriumApplied MathematicsNonequilibrium thermodynamic potentialsThermodynamicsThermodynamic databases for pure substancesNonequilibrium thermodynamicsThermodynamic equationsThermodynamic systemExtended thermodynamicsThermodynamic potentialsymbols.namesakeGibbs equationGibbs–Helmholtz equationsymbolsKinetic theoryMathematicsThermodynamic processApplied Mathematics Letters
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