The Burnett equations in extended irreversible thermodynamics

DOI10.1515/jnet.1982.7.2.95zbMath0504.76004OpenAlexW1995575748MaRDI QIDQ1836352

Yanyan Li

Publication date: 1982

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnet.1982.7.2.95

zbMATH Keywords

evolution equationsrelaxation timesfast variablesGibbs equationrelaxation equationsBurnett and higher order constitutive equationexpansion in powers of gradientMaxwell- Cattaneo equation

Mathematics Subject Classification ID

Classical and relativistic thermodynamics (80A10) Foundations of fluid mechanics (76A02)

Related Items (8)

An extended thermodynamic theory of fluid mixtures ⋮ A nonlocal theory of irreversible thermodynamics. I: Hydrodynamics of a one component fluid ⋮ On Riemannian manifolds admitting a function whose gradient is of constant norm ⋮ Propagation of ultrasonic sound waves in dissipative dilute gases and extended irreversible thermodynamics ⋮ On the criteria for deriving approximations of different orders in extended irreversible thermodynamics ⋮ Dielectric behaviour of viscous fluids ⋮ Equilibrium third moments and non-equilibrium second moments of fluctuations of hydrodynamic dissipative fluxes ⋮ Compatibility between extended irreversible thermodynamics and kinetic- theory: Uniform shear flow

Cites Work

• Transport processes in dilute gases over the whole range of Knudsen numbers. Part 1. General theory
• A generalised Gibbs equation for second-order fluids
• Numerical computation of the hypersonic leading edge problem using the Burnett equations
• Perturbation expansion of the Navier–Stokes equations for shock waves

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