Abstract
The steady, cavitating flow past slender symmetrical bodies placed in a solid-wall channel is studied by means of the linearized theory of Tulin. The free-boundary condition is linearized and boundary conditions are applied on the line of symmetry of the flow in analogy with thin-air-foil theory. A singular integral equation formulation of the boundary-value problem is obtained and can be solved to yield expressions for cavity length, maximum cavity width, and drag coefficient as functions of the cavitation number and the channel breadth. These expressions are given for an arbitrary body and evaluated for the case of a wedge.
Discussion: “Two-Dimensional, Steady, Cavity Flow About Slender Bodies in Channels of Finite Breadth” (Cohen, Hirsh, and Gilbert, Robert, 1957, ASME J. Appl. Mech., 24, pp. 170–176)