Flow visualization of the elastic Taylor-Couette instability in Boger fluids |
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Authors: | Brandon M. Baumert Prof. Susan J. Muller |
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Affiliation: | (1) Department of Chemical Engineering, University of California, Berkeley;(2) Center for Advanced Materials, Lawrence Berkeley Laboratory, 94720 Berkeley, California, USA |
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Abstract: | Flow visualization is performed on an elastically-dominated instability in several similar Boger fluids in Taylor-Couette flow. The onset and evolution of secondary flow are observed over a range of shear rates using reflective mica platelet seeding. Sequences of ambiently and sheet-illuminated images were digitally processed. Rotation of the inner cylinder was ramped from rest to its final value over a time on the order of a polymer relaxation time. Dilute solutions of high molecular weight polyisobutylene in oligomeric polybutene manifest a flow transition at a Deborah number, Des = s 1.5 with a Taylor number of 0.00022 in a cell with dimensionless gap ratio = 0.0963. At this transition, simple azimuthal shearing is replaced by steady, roughly square, axisymmetric counter-rotating vortices grossly similar to the well-known Taylor vortex flow that is observed at Des = 0, Ta = 3612. At Des = 3.75, Ta = 0.0014, an axisymmetric oscillatory secondary flow develops initially but is replaced by the steady vortices. At Des = 7.5, Ta = 0.0054, the oscillatory and vortex flow coexist and possess an irregular cellular cross-section. A wide span of growth rates is observed: the ratio of onset to polymer relaxation time ranges from 170000 at Des= 1.5 to O(10) at Des > 5. The role of inertia was explored through changing the solvent viscosity. A transition similar to the one that occurs at Des = 3.75, Ta = 0.0014, from the base azimuthal shearing flow to axisymmetric vortices, was also observed with a much lower viscosity fluid at Des = 3.3, Ta = 74. |
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Keywords: | Viscoelastic instability secondary flow visualization Taylor-Couette Boger fluids |
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