Piecewise continuous partition function method in the theory of wave perturbations of inhomogeneous gas

摘要

The problem of wave disturbance propagation in rarefied gas in gravity fieldis explored. The system of hydrodynamic-type equations for a stratified gas ingravity field is derived from BGK equation by method of piecewise continuouspartition function. The obtained system of the equations generalizes theNavier-Stokes at arbitrary density (Knudsen numbers). The verification of themodel is made for a limiting case of a homogeneous medium. Results are in thegood agreement with experiment and former theories at arbitrary Knudsennumbers.