Stability of some shear flows for concentrated suspensions |
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| Authors: | Prof Nhan Phan-Thien Zhiwu Fang Alan L Graham |
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| Institution: | (1) Department of Mechanical and Mechatronic Engineering, The University of Sydney, 2006 Sydney, NSW, Australia;(2) Los Alamos National Laboratory, 87545 Los Alamos, New Mexico, USA |
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| Abstract: | In this paper we investigate the stability of some viscometric flows for a concentrated suspension model which allows for the effects of shear-induced migration, including plane and circular Couette and Poiseulle flows, and unbounded and bounded torsional flows. In the bounded torsional flow, where its radial outer boundary is assumed frictionless, an exact closeform solution is given. With the exception of torsional flows, we find that a limit point for all the steady-state solutions can exist for certain range in the parameter values. In all cases, disturbances can persist for a long time, O (H
2/a
2), where H is a dimension of the flow field, and a is the particles' radius. |
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| Keywords: | Flow-induced migrations viscometric flows of concentrated suspensions stability of viscometric flows of suspensions |
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