Stability of plane poiseuille flow and plane couette flow over a layer of elastic medium
Loading...
Authors
Cheng, Thomas L.
Issue Date
1977-12
Type
Electronic thesis
Thesis
Thesis
Language
ENG
Keywords
Mechanics
Alternative Title
Abstract
The stability of plane Poiseuille flow of an incompressible viscous fluid between a rigid plate and a layer of incompressible isotropic elastic solid is studied. Two distinct modes of instability are found. The interfacial mode may occur at small Reynolds number when the solid is soft. For this mode, the rigidity of the solid is a stabilizing factor, whereas the viscosity of the fluid is destabilizing. There is a critical elastic parameter beyond which the flow becomes unstable regardless of the viscosity of the fluid. The shear wave mode occurs at large Reynolds number. This mode has the same nature as that of the plane Poiseuille flow between rigid plates. The critical number is however modified by an elastic parameter.
Description
December 1977
School of Engineering
School of Engineering
Full Citation
Publisher
Rensselaer Polytechnic Institute, Troy, NY