Abstract

A linear theory for the two-dimensional supercavitating flow past a flat hydrofoil heaving and pitching with small amplitudes in a choked tunnel is developed using the acceleration potential. It is supposed that the streamlines of the cavity always spring from the leading and trailing edges of the hydrofoil and that the hydrofoil is inclined at a small angle to the oncoming flow. Also the pressure in the cavity is assumed to be constant. Force and moment coefficients are calculated as functions of reduced frequency and the ratio of tunnel height to chord length. The pressure disturbances caused by the unsteady motion in a tunnel do not die out far upstream; these also depend on the chord-tunnel height ratio and reduced frequency.

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