Abstract:

This article is focused on the problem of modeling the flow of viscous compressible fluid in the slot channel. Slit channel consists of two circular plates. The first plate is elastic and is held rigidly clamped at the edges. The second plate oscillates in a vertical axis relative to the first. The second plate is absolutely rigid. The mathematical model of this system consists of differential equations in partial derivatives for describing dynamics of viscous compressible gas and an elastic stator together with boundary conditions.

Keywords: viscous compressible gas, slotted channel, the elastic plate, Thin-wall construction, Navier-Stokes equation