Effect of nonlinearity on the Taylor-Couette flow in the narrow-gap

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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.

Keywords

Shear thinning Nonlinear stability analysis Galerkin projection Taylor-Couette flow 
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Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of Mechanical and Aerospace Engineering, Science and Research BranchIslamic Azad UniversityTehranIran

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