Arbitrary squeeze flow between two disks (Q1338434)

Summary: A viscous incompressible fluid is contained between two parallel disks with arbitrarily shrinking width \(h(\tau)\). 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 in terms of an infinite set of nondimensional parameters. The gap width \(h(\tau)\) is obtained for different states: when the top disk moves with constant velocity, constant force or constant power.