Review of Theoretical Approaches to Nonlinear Supercavitating Flows
SAINT PETERSBURG STATE MARINE TECHNICALUNIV (RUSSIA) SHIP THEORY DEPARTMENT
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The purpose of the paper is to present a brief review of basic theoretical approaches to two-dimensional 2D nonlinear supercavitating flows in the framework of theory of jets in an ideal fluid. In this connection discussed are Kirchhoff and Zhukovsky methods, Chaplygin method of singular points, method of integral equation, etc. A simple model problem of a supercavitating SC flat plate at zero cavitation number sigma 0 is chosen to illustrate the core of the methods and their comparative effectiveness. Some mathematical aspects of open and closed cavity closure schemes are studied as well with use of Chaplygin method applied to a SC plate with a spoiler at nonzero cavitation number. An influence is demonstrated of free and solid boundaries onto the cavity volume and hydrodynamic characteristics of the plate. Mathermatica 4.0 software is used as a main tool for the flow pattern visuallization of the problems under consideration. An analytical exact solution is presented to the 2D nonlinear flow problem of an arbitrary supercavitating foil and numerical results are discussed.
- Fluid Mechanics