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Flow visualization of the elastic Taylor-Couette instability in Boger fluids
Authors:Brandon M. Baumert  Prof. Susan J. Muller
Affiliation:(1) Department of Chemical Engineering, University of California, Berkeley;(2) Center for Advanced Materials, Lawrence Berkeley Laboratory, 94720 Berkeley, California, USA
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 = lambdas gamma ap 1.5 with a Taylor number of 0.00022 in a cell with dimensionless gap ratio delta = 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.
Keywords:Viscoelastic instability  secondary flow visualization  Taylor-Couette  Boger fluids
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