Unsteady, Symmetrical, supercavitating Flows Past a Thin Wedge in a Solid Wall Channel

Abstract

Problems of symmetrical two-dimensional supercavitating flow about a thin wedge in a finite fluid with two parallel solid boundaries are solved by means of a linearized method utilizing the complex acceleration potential. The solution contains no singularity and, as a result, pressure is finite everywhere. It is shown that the term indicating the effect of cavity pressure change on the drag which existed in the case of the flows with free boundaries is identical to zero when the boundaries are solid. It is also concluded that, in steady flow cases, the accuracy of the solutions using the linearized method is comparable to that using the linearized velocity potential method. In fact, the two methods give identical solutions cavities are infinitely long.