Gas flow near a plate oscillating longitudinally with an arbitrary frequency

A gas flow near a longitudinally oscillating plate is considered on the basis of the kinetic equation. It is assumed that the oscillation is fully established and the dependence of the solution on the time is harmonic, while its dependence on the spatial coordinate is obtained numerically. The main parameter determining the problem solution is the ratio of intermolecular collision frequency to the oscillation frequency. Moreover, the solution depends on the gas-surface interaction law. To take into account a nondiffuse scattering of particles on the surface the Cercignani-Lampis scattering kernel is applied in the boundary conditions. The numerical calculations were carried out for a wide range of the frequency ratio and for several values of the accommodation coefficients. Two numerical methods were employed to solve the kinetic equation: the integro-moment method and the discrete velocity one. The results obtained by both methods are in a good agreement with each other.