Unsteady flow of a viscous gas between two solid walls,one of which is free and vibrating at high frequency

The pressure field is investigated in a thin layer of a viscous compressible gas between two walls, one of which is free and executing high-frequency harmonic vibrations. Asymptotic methods are applicable to the case in which one wall vibrates at high frequencies [1]. The motion of the gas, as shown in [2], can be assumed to be nearly isothermal, and the influence of the inertial terms in the equation of motion for the gas can be neglected.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 111–116, March–April, 1971.