Abstract

Periodic viscous flows through a circular hole driven by a fluctuating far field pressure are numerically studied. The time-dependent incompressible N-S equations formulated with orthogonal curvilinear coordinates are solved by using a finite difference method. Numerical examples compared with the potential theory predictions are presented. The acoustic impedances of a circular hole are calculated for various combinations of the pressure/viscous force ratio, frequency and the hole edge thickness.

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