Supercavitating Nonlinear Flow Problems: Matched Asymptotics
Abstract
The purpose of the lecture is to demonstrate the method of Matched Asymptotic Expansion (MAE) to be efficiently applicable to various supercavitating flow problems. Two model problems were chosen to prove the statement. The first one is a problem of the flow around a supercavitating shock free hydrofoil with spoiler mounted on its trailing edge and wedge-like fully wetted leading edge. A gallery of local nonlinear edge solution is proposed for the inner flow problems in the vicinity of the spoiler as well as in the vicinity of the sharp or rounded cavitating leading edge. The second problem is supercavitating wing of large aspect ratio beneath the free surface. In both cases analytical solutions to nonlinear inner problem were applied to accomplish the matching procedure and to significantly extend the range of the flow parameters where asymptotic approach gives reliable results. Solutions obtained in the framework of the MAE method as well as linear and nonlinear theories are illustrated in the text by numerical data.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 2001
- Accession Number
- ADP012088
Entities
People
- G. M. Fridman
- K. V. Rozhdestvensky