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• W1514087183 abstract "This chapter investigates the onset and stability of finite amplitude taylorvortex flow (TVF) with elastic effects dominating over inertia. It is shown that the purely elastic overstability can only be predicted if the higher-order normal stress terms, neglected in the previous formulation, are properly accounted for. The resulting nonlinear dynamical system involves 16, instead of 6 degrees of freedom. Although more cumbersome, and therefore less amenable to algebraic manipulations, the present expanded model is more accurate in its predictions, and leads to good agreement with existing formulations and experiments. Both the rigid-free and rigid-rigid boundary conditions are used and the resulting flows are compared. It is found that the two formulations lead essentially to similar qualitative flows. The former conditions allow a much simpler formulation. It also allows the examination of the influence of the higher-order normal stress terms when compared with the previous formulation. Additional calculations are also carried out in the absence of inertia, based on a dynamical system that accounts for yet higher order normal stresses, in an attempt to reach a quantitative agreement." @default.
• W1514087183 created "2016-06-24" @default.
• W1514087183 creator A5086932517 @default.
• W1514087183 date "1999-01-01" @default.
• W1514087183 modified "2023-10-16" @default.
• W1514087183 title "Low-dimensional description of viscoelastic taylor-vortex flow" @default.
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• W1514087183 doi "https://doi.org/10.1016/s0169-3107(99)80033-1" @default.
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