Piecewise continuous partition function method in the theory of wave perturbations of inhomogeneous gas
arXiv:physics/0411248 · doi:10.1016/j.physleta.2005.08.054
Abstract
The problem of wave disturbance propagation in rarefied gas in gravity field is explored. The system of hydrodynamic-type equations for a stratified gas in gravity field is derived from BGK equation by method of piecewise continuous partition function. The obtained system of the equations generalizes the Navier-Stokes at arbitrary density (Knudsen numbers). The verification of the model is made for a limiting case of a homogeneous medium. Results are in the good agreement with experiment and former theories at arbitrary Knudsen numbers.
12 pages, 5 figures