Extending hydrodynamics via the regularization of the Chapman-Enskog expansion

Journal Article · Thu Dec 14 23:00:00 EST 1989 · Physical Review (Section) A: General Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevA.40.7193· OSTI ID:7265853

Rosenau, P ^[1]

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1. Department of Mechanical Engineering, Technion, Israel Institute of Technology, Haifa 32000, Israel (IL) Center for Nonlinear Studies, Los Alamos National Laboratory, Mail Stop B258, Los Alamos, New Mexico 87545

A regularization procedure of the Chapman-Enskog expansion is introduced. It extends the hydrodynamical description into higher gradients domains. This was intended but never accomplished satisfactorily by the Burnett equations. The resulting macroscopic system formally has the same form (and complexity) as the Navier-Stokes equations, with the new transport coefficients being wavelength dependent. It reduces in the long-wavelength limit to the Burnett equations. In agreement with experimental evidence, strong shock layers are narrower in comparison with the predictions of the Navier-Stokes theory.

• OSTI ID: 7265853
• Journal Information: Physical Review (Section) A: General Physics; (USA), Journal Name: Physical Review (Section) A: General Physics; (USA) Vol. 40:12; ISSN PLRAA; ISSN 0556-2791
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CHAPMAN-ENSKOG THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID MECHANICS
FLUIDS
HYDRODYNAMICS
MECHANICS
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
TESTING
VALIDATION
WAVELENGTHS