Squeeze Films between a Rotating Curved Disk and a Plane Wall

Abstract

An analysis of the laminar squeezing flow of an incompressible viscous fluid between a rotating curved disk and a plane wall is presented in which a successive approximation technique is used to account for fluid inertia, curvature and centrifugal force effects. Assuming a small ratio of the film thickness to the radius of the disk, the Reynolds equations in first order approximation and second order one are derived and solved analytically for the case of the curved disk having an arbitrary profile. The forces and the moments acting on the disk and the wall are found in the form of a function of the film thickness. The forces depend on the acceleration of the disk, but the moments are independent of it. A force applied to the disk is completely transmitted to the wall, while a moment applied to the disk is partially transmitted to it. The transmission loss in the moment depends only on the velocity of the disk. The forces and the moments are concretely obtained for the case of the disk having a parabolic profile.