An Inviscid Analysis in Polar Coordinates of Flow Between Two Flat Plates

Abstract

An inviscid analysis is conducted of two-dimensional flow between a flat plate pivoting about an external point and falling onto another plate at rest. The motion of the fluid between the two plates is analyzed by the simultaneous solution of the unsteady Bernoulli equation, the equation of continuity, and the equation of motion for the plate. Numerical solution of the equations resulted in velocities and pressures along the plate as a function of time. The pressures were integrated to yield forces and moments on the falling plate. The results are compared with the motion of a horizontal flat plate falling vertically onto a rigid stationary flat plate. The two results are similar to one another.