Instability of Inelastic Shear-Thinning Liquids in a Couette Flow Between Concentric Cylinders

[+] Author and Article Information
O. Coronado-Matutti, P. R. Souza Mendes, M. S. Carvalho

Department of Mechanical Engineering, Pontifı́cia Universidade Católica do Rio de Janeiro, Rua Marque⁁s de São Vicente 225, Gávea, Rio de Janeiro, RJ, 22453-900, Brazile-mail: msc@mec.puc-rio.br

J. Fluids Eng 126(3), 385-390 (Jul 12, 2004) (6 pages) doi:10.1115/1.1760537 History: Received April 11, 2003; Revised January 05, 2004; Online July 12, 2004
Copyright © 2004 by ASME
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Geometrical configuration of flow between concentric rotating cylinders
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Sketch of the phase diagram of the flow between concentric rotating cylinders. Continuous lines represent stable branches.
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Solution path computed with both meshes tested. The results are virtually insensitive to the level of discretization.
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(a) Solution path for Newtonian liquid as Taylor number rises. The radius ratio is Π=0.6. The flow states are characterized by the intensity of the flow in the axial direction. (b) Derivative of the flow intensity in the axial direction with respect to Taylor number. The critical condition is defined as the value at which the derivative is maximum.
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Evolution of the vortex pattern as the Taylor number rises above the critical value. The radius ratio is Π=0.6.
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Critical Taylor number for Newtonian liquids as a function of the radius ratio Π≡ri/ro
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Comparison of Lockett’s critical Taylor number for inelastic shear-thinning liquids obtained in this work with those predicted by linear stability analysis
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Critical conditions at the onset of the instability as a function of the power-law index n and high-shear viscosity η. λ=0.1 s and Π=0.95. The results are also presented in terms of a modified Taylor Number Tamod.
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Critical Taylor number as a function of the radius ratio Π and power-law index n. λ=0.1 s. (a) η=0.01 Pa.s and (b) η=0.0001 Pa.s.
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Results presented in Fig. 9 in terms of the modified Taylor number, that takes into account the shear-thinning effect on the definition of the Taylor number
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Critical Taylor number as a function of the time constant of the Carreau viscosity function. η=0.0001 Pa.s,n=0.8 and Π=0.95.




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