THE OSCILLATIONS OF A VISCOUS COMPRESSIBLE FLUID IN AN ARBITRARILY-SHAPED PORE

In this paper we gave the general solution of a two-dimensional problem of oscillation of a viscous compressible fired m a long thin arbitrarily-shaped pore The solution of this problem is reduced to an ordinary differential equation of second order For the step-shaped pore an exact solution is obtained The model is extended to the case when the walls of the pore are permeable The problem can be solved for different boundary conditions representing complete or partial saturation of the pore space Analytical and numerical solutions of the problem reveal the effect of resonance m the pore, resulting m a non-monotonous form of a relationship between the average pressure m the pore and the frequency of oscillation Tins relation has a periodical shape with decreasing amplitude