Arbitrary squeeze flow between two disks

Abstract

A viscous incompressible fluid is contained between two parallel disks with arbitrarily shrinking width h(τ). The solution is obtained as a power series in a single nondimensional parameter (squeeze number) S, for small values of S in contrast to the “multifold” series solution obtained by Ishizawa in terms of an infinite set of nondimensional parameters. The gap width h(τ) is obtained for different states: when the top disk moves with constant velocity, constant force or constant power.