Supercavitating Flows: Small Perturbation Theory and Matched Asymptotics
Abstract
The lecture discusses some applications of the theory of small perturbations as applied to supercavitating flows. In this context the linear theory is viewed as an outer expansion of a more complete nonlinear solution of the flow problem. In addition to comparing linear solutions for a supercavitating flat plate for different analogues of the cavity closure models, two examples are considered showing how to account for the presence of local flow regions where the perturbations are not small. In the first example a local asymptotic solution of the nonlinear flow problem in the vicinity of the leading edge is matched to the classical linear solution to provide a uniformly valid pressure distribution along a supercavitating flat plate. In the second example, the local nonlinear perturbation of the otherwise slightly perturbed flow is doe to a spoiler fitted at the trailing edge of a flat plate.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 2001
- Accession Number
- ADP012087
Entities
People
- K. V. Rozhdestvensky