A WAKE MODEL FOR FREE-STREAMLINE FLOW THEORY PART II. CAVITY FLOWS PAST OBSTACLES OF ARBITRARY PROFILE,

Abstract

A free-streamline wake model is introduced to treat the fully and partially developed wake flow or cavity flow past an oblique flat plate. This theory is generalized here to investigate the cavity flow past an obstacle of arbitrary profile at an arbitrary cavitation number. Consideration is first given to the cavity flow past a polygonal obstacle whose wetted sides may be concave towards the flow and may also possess some gentle convex corners. The general case of curved walls is then obtained by a limiting process. The analysis in this general case leads to a set of two functional equations for which several methods of solution are developed and discussed. As a few typical examples the analysis is carried out in detail for the specific cases of wedges, two-step wedges, flapped hydrofoils, and inclined circular arc plate. For these cases the present theory is found in good agreement with the experimental results available. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1963
Accession Number
AD0412412

Entities

People

  • D. P. Wang
  • T. Yao-tsu Wu

Organizations

  • California Institute of Technology

Tags

DTIC Thesaurus Topics

  • Agreements
  • Bubbles
  • Cavitation
  • Equations
  • Hydrodynamic Configurations
  • Hydrofoils
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.