Stability of plane poiseuille flow and plane couette flow over a layer of elastic medium
Authors
Cheng, Thomas L.
ORCID
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Other Contributors
Lai, W. Michael, 1930-
Mow, Van C.
Krempl, Erhard
Hagerup, Henrik J.
Rubenfeld, Lester A.
Mow, Van C.
Krempl, Erhard
Hagerup, Henrik J.
Rubenfeld, Lester A.
Issue Date
1977-12
Keywords
Mechanics
Degree
PhD
Terms of Use
This electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
Full Citation
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
Department
Dept. of Mechanical, Aerospace, and Nuclear Engineering
Publisher
Rensselaer Polytechnic Institute, Troy, NY
Relationships
Rensselaer Theses and Dissertations Online Collection
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