ELASTIC RECOVERY AND THE TOMS EFFECT - A SIMPLE MODEL.
ILLINOIS INST OF TECH CHICAGO DEPT OF MATHEMATICS
Pagination or Media Count:
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
- Fluid Mechanics