NUMERICAL STUDIES OF POINT PERTURBATIONS IN LAMINAR PLANE POISEUILLE MOTION,

Abstract

A finite-difference technique is developed to study the time-dependent, two-dimensional, isothermal flow of an incompressible, Newtonian fluid between infinite, parallel planes. A theoretical analysis of the convergence and stability of the difference scheme is presented. The method developed is used to determine the propagation of a disturbance in the flow regime by numerical integration, with respect to time and space, of the nonlinear equations of motion for the perturbed plane Poiseuille flow. Several test computations are carried out wherein a small, point, vorticity perturbation is introduced into an initially laminar flow field; the perturbation is introduced on the channel axis. Vorticity distribution in the neighborhood of the channel axis, following perturbation, are presented in graphical form; the effects of perturbation magnitude and Reynolds number on vorticity propagation are discussed in a qualitative manner for the cases studied. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1963
Accession Number
AD0423640

Entities

People

  • Eugene Deluca

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Computational Science
  • Computer Simulations
  • Equations Of Motion
  • Flow
  • Flow Fields
  • Laminar Flow
  • Numerical Integration
  • Perturbations
  • Poiseuille Flow
  • Reynolds Number
  • Simulations
  • Turbulent Flow
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Aerodynamics.
  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)

Technology Areas

  • Space
  • Space - Hall-Effect Thruster