FURTHER NOTES ON THE TWO-DIMENSIONAL FLOW OF AN INVISCID DENSITY-STRATIFIED LIQUID PAST A SLENDER BODY,

Abstract

Small velocity perturbations and an exponential variation of density with depth are assumed. The resulting linearized equation governing the two-dimensional flow of a density-stratified liquid is then used. Attention is given to small Froude numbers, where gravity forces are much more important than accelerative forces. Both the dipole (thickness producing) and vortex (lift producing) singularities are introduced. Flows in a channel, in an infinite fluid, and in an infinitely deep fluid with a free surface are considered. Wave drags for vortices, dipoles and dipole distributions are compared for the channel and infinite fluid cases. The upstream disturbances created by a dipole are investigated, and a simple expression defining the lee waves in the remote field is given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1966
Accession Number
AD0650250

Entities

People

  • B. B. Graham
  • E. W. Graham

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Bodies
  • Equations
  • Flow
  • Froude Number
  • Geometric Forms
  • Geometry
  • Mathematics
  • Perturbations
  • Physical Properties
  • Slender Bodies
  • Two Dimensional
  • Two Dimensional Flow

Fields of Study

  • Mathematics
  • Physics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Fluid Dynamics.