Torsional flow stability of highly dilute polymer solutions |
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| Institution: | 1. Department of Mechanical and Mechatronic Engineering, The University of Sydney, Sydney, NSW 2006, Australia;2. Commonwealth Scientific and Industrial Research Organisation, Telecommunications and Industrial Physics, West Lindfield, NSW 2070, Australia;1. Moldflow Pty. Ltd., 259-261 Colchester Road, Kilsyth, Melbourne VIC. 3137, Australia;2. Department of Mechanical and Mechatronic Engineering, The University of Sydney, Sydney NSW 2006, Australia |
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| Abstract: | We examine the torsional flow stability, to axisymmetric disturbances, of a variety of multimode and non-linear constitutive models in a bounded parallel plate geometry. The analysis is facilitated by the construction of a regular perturbation scheme in the ratio of polymer to total viscosity. As a model for Boger fluids this corresponds to the assumption that the Boger fluid is highly dilute. The consequent simplification provided by the perturbation scheme allows us to examine the effects of a discrete spectrum of relaxation times, shear thinning, second normal stress difference, and finite extensional viscosity on the torsional instability. |
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