Accession Number : AD0673009

Title :   ELASTIC RECOVERY AND THE TOMS EFFECT - A SIMPLE MODEL.

Descriptive Note : Technical rept.,

Corporate Author : ILLINOIS INST OF TECH CHICAGO DEPT OF MATHEMATICS

Personal Author(s) : Tlapa,Gerald A. ; Bernstein,Barry

Report Date : JUL 1968

Pagination or Media Count : 95

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)

Descriptors :   (*POLYMERS, LUBRICANTS), (*SKIN FRICTION, REDUCTION), FLUID FLOW, ELASTIC PROPERTIES, TURBULENCE, DRAG, CONCENTRATION(CHEMISTRY), MATHEMATICAL MODELS, EQUATIONS OF MOTION, STABILITY, PROPAGATION

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE