Munk's Integral for Fully Cavitated Hydrofoils in Cascade by Acceleration Potential Concepts

Abstract

It is the purpose of present paper to study analytically the hydrodynamic characteristics of fully cavitated hydrofoil in cascade by acceleration potential concepts. By taking the usual linearized assumptions, the problem can be reduced to a potential one of mixed boundary value type in acceleration field. The lift and drag of fully cavitated hydrofoil in cascade are expressed in the generalized form of Munk's integral known in thin wing theory. Numerical calculations are performed for the characteristics of fully cavitated hydrofoil of flat plate and cambered section in typical arrangements of cascade and comparisons are made with the former theories. In the last place, application of the present theory to supercavitating propellers and comparison withmeasured value is made.