Browsing Department of Materials Science and Metallurgy by Subject "instability"
Now showing items 1-3 of 3
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Multiple instability of layered stratifed plane Couette flow
(Cambridge University PressJournal of Fluid Mechanics, 2017-02-25)We present the linear stability properties and nonlinear evolution of two-dimensional plane Couette flow for a statically stable Boussinesq three-layer fluid of total depth 2$h$ between two horizontal plates driven at ...
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Nonlinear evolution of linear optimal perturbations of strongly stratified shear layers
(Cambridge University PressJournal of Fluid Mechanics, 2017-08-25)The Miles-Howard theorem states that a necessary condition for normal-mode instability in parallel, inviscid, steady stratified shear flows is that the minimum gradient Richardson number, $Ri_{g,min}$, is less than 1/4 ...
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The acoustics of curved and lined cylindrical ducts with mean flow
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsPembroke College, 2007-10-23)This thesis considers linear perturbations to the steady flow of a compressible inviscid perfect gas along a cylindrical or annular duct. Particular consideration is given to the model of the duct boundary, and to the ...