A Generalization of Squeeze Film Theory and Acoustic Radiation Theory : 1st Report, Fundamental Equation and Relationship between Squeeze Film Pressure and Rayleigh Radiation Pressure

Abstract

The theory of squeeze film pressure and the theory of acoustic radiation pressure have been generalized to a new theory in this study. When the two fiat faces are separated by a compressible fluid film, a dynamic pressure is generated in their normal direction by the oscillation of the faces. One of the authors derived a fundamental equation for the phenomenon considering both the inertia and the viscosity of the fluid. In case of neglecting the inertia effects and assuming the isothermal change, the equation is reduced to the Reynolds equation used in the conventional lubrication theory. In this paper, an analytical solution of the Reynolds equation on the adiabatic squeeze film is presented. The results show that compressibility effects of the fluid are dominant at high squeeze numbers. The relationship between the squeeze film pressure and Rayleigh radiation pressure is also investigated theoretically.