arXiv subjects

M. A. Solovchuk

Publications and source records attributed to M. A. Solovchuk.

2 recordsLinked to original sources

arXiv2006

Piecewise continuous distribution function method and ultrasound at half space

The system of hydrodynamic-type equations, derived by two-side distribution function for a stratified gas in gravity field is applied to a problem of ultrasound propagation and attenuation. The background state and linearized version of the obtained system is studied and compared with the Navier-Stokes one at arbitrary Knudsen numbers. The WKB solutions for ultrasound in a stratified medium are constructed in explicit form. The problem of a generation by a moving plane in a rarefied gas is explored and used as a test while compared with experiment.

physics.ao-ph↗

arXiv2004

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

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.

physics.flu-dyn↗