Squeeze Flow Between Finite Plates

Abstract The general solution for squeeze flow between closely-spaced plates of arbitrary shape includes an in-plane potential flow whose components satisfy the Cauchy–Riemann conditions, and the velocity field and the pressure are both determined by the boundary conditions at the edge of the plates. In contrast, the velocity field for the infinite-plate limit only requires boundary conditions at the surfaces of the plates. The infinite-plate problem is singular, and makes sense only as a limit of a sequence of flows in finite geometries, each of which has a well-defined coordinate origin.