ROTATIONAL SOLUTIONS OF THE EULER EQUATIONS.

Abstract

Steady-state rotational solutions of the Euler equations for an incompressible fluid are discussed, with emphasis on flows characterizing the impingement of a rotational jet upon a plane surface. These solutions are aimed at understanding actual rotational flows undergoing strong interactions, where, to a first approximation, viscous stresses may be ignored after the creation of vorticity. Of particular interest are two axially symmetric flows which have finite velocity profiles at large distances from the impingement plane. One of these has a parabolic profile and represents a flow inside a cylindrical cup of finite radius; the other has a Gaussian profile with streamlines extending to infinity. Analytical expressions and computed values for velocities, velocity gradients, and pressures are given, and a comparison is made with experimental data obtained at ARAP. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0627972

Entities

People

  • Derek A. Barnes
  • Roger D. Sullivan

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Axisymmetric Flow
  • Equations
  • Euler Equations
  • Experimental Data
  • Flow
  • Steady State

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.