Analytical solution of second Stokes problem about behaviour of gas over fluctuating surface by means of ellipsoidal statistical equation

Abstract

Second Stokes problem about behaviour of rarefied gas filling half-space is analytically solved. A plane limiting half-space makes harmonious fluctuations in the plane. The kinetic equation with modelling integral collisions in form of ellipsoidal statistical model is used . The case of diffusion reflexions of gas molecules from a wall is considered. Function distribution of gas molecules is constructed and mass velocity of gas also in half-space is found. Hydrodynamic character of the solution at small frequencies of fluctuation plane limiting gas is revealed. The force of a friction operating from gas on border making in the plane oscillatory movement is found.