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    Stability of plane poiseuille flow and plane couette flow over a layer of elastic medium

    Author
    Cheng, Thomas L.
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    178682_thesis.pdf (4.092Mb)
    Other Contributors
    Lai, W. Michael, 1930-; Mow, Van C.; Krempl, Erhard; Hagerup, Henrik J.; Rubenfeld, Lester A.;
    Date Issued
    1977-12
    Subject
    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.;
    Metadata
    Show full item record
    URI
    https://hdl.handle.net/20.500.13015/2090
    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.; The eigenvalue problem is solved by a numerical technique in which the required initial guesses are computed by the perturbation method.; The stability of plane Couette flow of an incompressible viscous fluid between a Inoving plate and a layer of incompressible isotropic elastic solid is also investigated. It is found that the instability of interfacial mode is essentially similar to that of plane Poiseuille Flow. It requires, however, softer solid or higher critical speed to induce the instability than does the plane Poiseuille flow.;
    Description
    December 1977; School of Engineering
    Department
    Dept. of Mechanical, Aerospace, and Nuclear Engineering;
    Publisher
    Rensselaer Polytechnic Institute, Troy, NY
    Relationships
    Rensselaer Theses and Dissertations Online Collection;
    Access
    Restricted to current Rensselaer faculty, staff and students. Access inquiries may be directed to the Rensselaer Libraries.;
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    • RPI Theses Online (Complete)

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