ON TWO THEORIES OF PLANE POTENTIAL FLOWS WITH FINITE CAVITIES

Abstract

Two moddls of bonded discontinuous plane potential flows, or cavities, are presented and discussed. The first, satisfies all the mathematical conditions on a flow with free boundaries and non-zero cavitation number. The free streamlines in this model reverse direction at the rear of the cavity to form a jet extending theoretically 'through' the obstacle to infinity. The second theory artificially introduces another obstacle which closes the cavity at its rear. The mathematical solutions to the problem of flow about a flat plate are presented for both models, and calculations, including drag coefficient numbers, N, between 0 and 1.3. Both theories are found to give essentially the same results over this entire range.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 29, 1946
Accession Number
AD0492093

Entities

People

  • D. Gilbarg
  • D. H. Rock

Organizations

  • Naval Ordnance Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Cavitation
  • Coefficients
  • Corporations
  • Flow
  • Governments
  • Inventions
  • Potential Flow
  • Specifications
  • Virginia

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.