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Taylor-Couette instability of a Bingham fluid

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Title: Taylor-Couette instability of a Bingham fluid
Author: Landry, Maria Paulina
Degree: Master of Science - MSc
Program: Mathematics
Copyright Date: 2003
Issue Date: 2009-11-14
Series/Report no. UBC Retrospective Theses Digitization Project [http://www.library.ubc.ca/archives/retro_theses/]
Abstract: Stability of a Bingham fluid in Taylor-Couette flow is studied. Of interest is to determine the critical values of the inner and outer cylinder angular velocities which cause the linear instability in the system. We introduce a perturbation into the basic flow, and examine the linearized Navier-Stokes equations for the perturbation. Assuming a normal mode solution for the perturbation, we obtain an eigenvalue problem which determines when the perturbation will grow or decay with time. In the case of a plug region at the outer cylinder wall, additional boundary conditions are applied at the yield surface. The marginal stability curve is generated numerically using a finite difference method. In addition to numerical analysis, heuristic arguments and energy methods are applied to find a lower bound for stability.
Affiliation: Science, Faculty of
URI: http://hdl.handle.net/2429/14990
Scholarly Level: Graduate

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