THE POTENTIAL FUNCTIONS FOR SINGULARITIES ASSOCIATED WITH HYDROFOILS OF FINITE SPAN MOVING WITH SUBCRITICAL AND SUPERCRITICAL VELOCITIES IN SHALLOW WATER

Abstract

Singularities for a semi-infinite vortex sheet and a horizontal line doublet, both of finite span, may be used to represent the vorticity and displacement produced by a finite span hydrofoil. The boundary conditions which must be satisfied when these singularities move in shallow water are derived. Expressions for the potential functions are obtained for both the subcritical and supercritical ranges of Froude number. Explicit expressions for the x-, y-, and z-derivatives of the potential functions are also presented. Methods for determining the strengths of the singularities are discussed.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1961
Accession Number
AD0258334

Entities

People

  • Avis Borden

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Computational Science
  • Computations
  • Coordinate Systems
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluids
  • Froude Number
  • Integrals
  • Kernel Functions
  • Mathematics
  • Model Basins
  • New York
  • Shallow Water
  • Test And Evaluation

Readers

  • Fluid Dynamics.
  • Marine Propulsion Engineering and Naval Architecture