Some Models of Prediction of Supercavitation Flows based on Slender Body Approximation

Abstract

Paper contain results o f development of approximate methods and analysis of possibilities of flows and motion predictions for high speed movement prolate mainly axisymmetric bodies in water with supercavitation. Investigations are based on known approximation of the Slender Body Theory (SBT) and application of Matched Asymptotic Expansions Method (MAEM), integral conservation laws , heuristic models and another approaches. Alike consideration give the possibility to analyze the number of key problems as whole from united point of view. With account of two the most important ranges of speeds: moderate high speeds and very high speeds in the range of Mach Number ~0.5-2 and over it is applied accordingly two base models: of ideal incompressible fluid and izentropically compressible fluids. Every of this characteristic cases correspond different cases of applications and accordingly developed parts of the theory. The problems of development of the methods for prediction of steady and unsteady prolate supercavities for given pressure and cavities with gas injection are analyzed with account of base perturbations factors. Possibilities and state of problem of prediction supercavitation for very high speeds with account of compressibility effects are considered. Peculiarities and possibilities of predictions movement trajectory of supercavitating bodies are analyzed and influence of hydro elastic effects under motion. are investigated