Linearized Theory for Supercavitating Hydrofoils With Spoiler-Flaps

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Abstract
The linearized problem of flow past a flat plate with a deflected upper flap is solved including the free-surface effects. The flow is assumed to detach at the trailing edges of the flap and of the plate, leaving an infinite cavity of constant pressure behind. The results are applicable to flaps of arbitrary length, hinged at an arbitrary distance from the leading edge and at arbitrary depth. Numerical results are presented to show the effect of depth on the lift and drag coefficients of a trailing-edge flap whose chord is 30 percent of the chord of the plate, the effect of the hinge position of such a flap on the hydrodynamic characteristics of a plate at infinite depth, and the pressure distribution on a flapped plate at infinite depth. The principal results obtained are as follows: As the depth decreases, the flap becomes less effective and less efficient; as the hinge position is moved rearward, the flap becomes more effective and more efficient.

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