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dc.rights.licenseRestricted to current Rensselaer faculty, staff and students. Access inquiries may be directed to the Rensselaer Libraries.
dc.contributorLai, W. Michael, 1930-
dc.contributorMow, Van C.
dc.contributorKrempl, Erhard
dc.contributorHagerup, Henrik J.
dc.contributorRubenfeld, Lester A.
dc.contributor.authorCheng, Thomas L.
dc.date.accessioned2021-11-03T08:55:02Z
dc.date.available2021-11-03T08:55:02Z
dc.date.created2017-11-28T17:59:07Z
dc.date.issued1977-12
dc.identifier.urihttps://hdl.handle.net/20.500.13015/2090
dc.descriptionDecember 1977
dc.descriptionSchool of Engineering
dc.description.abstractThe 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.
dc.description.abstractThe eigenvalue problem is solved by a numerical technique in which the required initial guesses are computed by the perturbation method.
dc.description.abstractThe 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.
dc.language.isoENG
dc.publisherRensselaer Polytechnic Institute, Troy, NY
dc.relation.ispartofRensselaer Theses and Dissertations Online Collection
dc.subjectMechanics
dc.titleStability of plane poiseuille flow and plane couette flow over a layer of elastic medium
dc.typeElectronic thesis
dc.typeThesis
dc.digitool.pid178681
dc.digitool.pid178682
dc.digitool.pid178683
dc.rights.holderThis electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
dc.description.degreePhD
dc.relation.departmentDept. of Mechanical, Aerospace, and Nuclear Engineering


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