THREE-DIMENSIONAL VORTEX-LINE THEORY OF A HYDROFOIL OPERATING IN WATER OF LARGE DEPTH. PART 1. THE WAVE DRAG OF A SINGLE HYDROFOIL WITH PRESCRIBED LIFT-DISTRIBUTION

Abstract

The bound-vortex drag was computed for different lift distributions of a single, straight bound-vortex line which, in conformance with Prandtl's airplane wing theory, replaced the hydrofoil. The bound-vortex line was parallel to the undisturbed interface and approximately at the centers of lift of the wing sections of the hydrofoil. The analysis neglected viscous forces and assumed irrotational fluid motion everywhere outside the bound vortex and trailing vortex sheet. Equations give the drag for cases of very short, very long, and arbitrary span. A curve shows the drag calculated for Froude number (NFr) of 10.85 and a rectangular lift distribution. The arbitrary span equations include the cases of very large and very small NFr's. The problem of the optimum lift distribution of a hydrofoil is qualitatively discussed.

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Document Details

Document Type
Technical Report
Publication Date
Feb 07, 1951
Accession Number
AD0022779

Entities

People

  • R. X. Meyer

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aircrafts
  • Airplanes
  • Bessel Functions
  • Boundaries
  • Coordinate Systems
  • Corporations
  • Fluid Flow
  • Fluids
  • Free Stream
  • Froude Number
  • Hydrodynamics
  • Hydrofoils
  • Military Research
  • Pressure Distribution
  • Three Dimensional
  • Trailing Vortices
  • Water

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Fluid Dynamics.