Abstract
The shear thinning Taylor-Couette flow is studied in the narrow gap limit. The fluid is assumed to follow the Carreau-Bird model and mixed boundary conditions are imposed. The low-order dynamical system, resulted from Galerkin projection of the conservation of mass and momentum equations, includes additional nonlinear terms in the velocity components originated from the shear-dependent viscosity. It is observed that the base flow loses its radial flow stability to the vortex structure at a lower critical Taylor number as the shear thinning effects increases. The emergence of the vortices corresponds to the onset of a supercritical bifurcation which is also seen in the flow of a linear fluid. Complete flow field together with stress and viscosity maps are presented for different scenarios in the flow regime.
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