ELASTIC RECOVERY AND THE TOMS EFFECT - A SIMPLE MODEL.

Abstract

The Toms effect (drag reduction by introduction of dilute polymer) is investigated analytically in terms of a properly invariant Maxwell model. A stability analysis of plane Poiseuille flow shows stability decreases with increasing elasticity. The change of character of the equations from parabolic to hyperbolic, which arises from introduction of even the slightest amount of elasticity, is shown to lead to dispersive wave phenomenon, whose influence of spreading out localized energy is investigated to obtain indications of explanations of the Toms effect. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1968
Accession Number
AD0673009

Entities

People

  • Barry Bernstein
  • Gerald A. Tlapa

Organizations

  • Illinois Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Drag
  • Drag Reduction
  • Elastic Properties
  • Equations
  • Flow
  • Personality
  • Poiseuille Flow
  • Recovery

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.