A Singular Perturbation Method of Calculating the Behavior of Supercavitating Hydrofoils with Rounded Noses,

Abstract

A simple, direct and accurate method to predict the pressure distribution on supercavitating hydrofoils with rounded noses is presented. The thickness of body and cavity is assumed to be small. The method adopted in the present work is that of singular perturbation theory. Far from the leading edge, linearized free streamline theory is applied. Near the leading edge, however, where singularities of the linearized theory occur, a non-linear local solution is employed. The two unknown parameters which characterize this local solution are determined by a matching procedure. A uniformly valid solution is then constructed with the aid of the singular perturbation approach. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1972
Accession Number
AD0745791

Entities

People

  • Okitsugu Furuya

Organizations

  • California Institute of Technology

Tags

DTIC Thesaurus Topics

  • Hydrofoils
  • Leading Edges
  • Mathematics
  • Perturbation Theory
  • Perturbations
  • Pressure Distribution
  • Thickness

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Marine Propulsion Engineering and Naval Architecture