Thermodynamic pressure in nonlinear nonequilibrium thermodynamics of dilute nonviscous gases

Journal Article · Fri Jun 01 04:00:00 EDT 2001 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.63.061202· OSTI ID:40203301

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 approximation these expressions are identical with those obtained in Phys. Rev. E >51, 158 (1995), using information theory.

• Sponsoring Organization: (US)
• OSTI ID: 40203301
• Journal Information: Physical Review E, Journal Name: Physical Review E Journal Issue: 6 Vol. 63; ISSN 1063-651X
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DENSITY
ENERGY DENSITY
ENTROPY
GASES
HEAT FLUX
INFORMATION THEORY
THERMODYNAMICS
VELOCITY