Moments Equations Based on First-Order Chapman-Enskog Solution

Authors: Söderholm,  L. H. S.
Document Type: Article
Pubstate: Published
Journal: Transport Theory and Statistical Physics
Volume: 27   681-90
Year: 1998


A modified method of 13 moments based on the first order Chapman-Enskog solution rather than the corresponding Hermite polynomials is proposed. Contrary to the Grad 13 moments equations the equations are correct to first order in the Knudsen number, having correct heat conductivity and viscosity and thus Prandtl number. The relaxation times and coupling coefficient between heat current and viscous pressure are calculated.