A Cusp-Like Free-Surface Flow due to a Submerged Source or Sink.

Abstract

We consider the steady flow induced by a line source placed at a given depth beneath the undisturbed level of a free-surface. We assume that the flow bifurcates at a definite point somewhere between the source and the undisturbed free-surface level. The free-surface at this point is cusp-like, the tip of the cusp pointing toward the source. The model is motivated by hydraulic problems of water entry or extraction from a reservoir. The problem is solved numerically by collocation. A unique solution is obtained whose cusp lies at 74.938% of the depth of the source. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1982
Accession Number
ADA120985

Entities

People

  • E. O. Tuck
  • J.-m. Vanden-broeck

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Coefficients
  • Computations
  • Equations
  • Flow
  • Froude Number
  • Iterations
  • Mathematics
  • Specifications
  • Standards
  • Steady Flow
  • Steady State
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Fluid Dynamics.