THE BASE FLOW PROBLEM AT VERY LOW REYNOLDS NUMBER IN THE STOKES APPROXIMATION,

Abstract

The general solutions of the Stokes approximate equations of motion are derived for two-dimensional and axisymmetric flows in the half-space x > 0, for an arbitrarily given velocity field in the plane x = 0. There is assumed to be no solid surface in the half-space. According to whether the velocity at infinity is zero or not, the solutions can be said to describe either jet type or wake type flows. Only the latter category is considered; numerical examples are worked out and properties of the base flow at very low Reynolds numbers are investigated. A recirculating flow region may exist, but the flow properties are not sensitive to this feature. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 18, 1964
Accession Number
AD0603669

Entities

People

  • Henri Viviand
  • Stanley A. Berger

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Axisymmetric
  • Axisymmetric Flow
  • Base Flow
  • Equations
  • Equations Of Motion
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Mathematics
  • Reynolds Number
  • Stratified Fluids
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Graph Algorithms and Convex Optimization.
  • Theoretical Analysis.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster