Chapman-Enskog $⇒$ viscosity-capillarity

Generation of the Chapman–Enskog Distribution

Volume Viscosity and Internal Energy Relaxation : Symmetrization and Chapman-Enskog Expansion

We analyze a mathematical model for the relaxation of translational and internal temperatures in a nonequilibrium gas. The system of partial differential equations—derived from the kinetic theory of gases—is recast in its natural entropic symmetric form as well as in a convenient hyperbolic-parabolic symmetric form. We investigate the Chapman-Enskog expansion in the fast relaxation limit and es...

On computing the Chapman–Enskog functions for viscosity and heat transfer and the Burnett functions

Hermite cubic splines and collocation are used to solve, in an e7cient and accurate way, the Chapman– Enskog equations for viscosity and heat transfer and to compute the Burnett functions required for Poiseuille:ow problems based on rigid-sphere collisions and the linearized Boltzmann equation. ? 2002 Elsevier Science Ltd. All rights reserved.

Regularized Chapman-enskog Expansion for Scalar Conservation Laws

Rosenau Phys. Rev. A, 40 (1989), pp. 7193-6] has recently proposed a regularized version of the Chapman-Enskog expansion of hydrodynamics. This regularized expansion resembles the usual Navier-Stokes viscosity terms at law wave-numbers, but unlike the latter, it has the advantage of being a bounded macroscopic approximation to the linearized collision operator. In this paper we study the behavi...

The Regularized Chapman-Enskog Expansion for Scalar Conservation Laws

ROSENAO [R] has recently proposed a regularized version of the ChapmanEnskog expansion of hydrodynamics. This regularized expansion resembles the usual Navier-Stokes viscosity terms at low wave numbers, but unlike the latter, it has the advantage of being a bounded macroscopic approximation to the linearized collision operator. In this paper we study the behavior of the Rosenau regularization o...