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Stability of Non-Newtonian Taylor-Couette With Axial Flow

[+] Author Affiliations
N. Ashrafi, A. Hazbavi

Islamic Azad University, Tehran, Iran

Paper No. IMECE2011-63067, pp. 831-837; 7 pages
doi:10.1115/IMECE2011-63067
From:
  • ASME 2011 International Mechanical Engineering Congress and Exposition
  • Volume 6: Fluids and Thermal Systems; Advances for Process Industries, Parts A and B
  • Denver, Colorado, USA, November 11–17, 2011
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5492-1
  • Copyright © 2011 by ASME

abstract

The influence of axial flow on stability of the Taylor-Couette flow is carried for shear thinning fluids. The fluid is assumed to follow the Carreau-Bird model and mixed boundary conditions are imposed. The four-dimensional 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. In absence of axial flow 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. However, unlike the Newtonian case, shear-thinning Taylor vortices lose their stability as the Taylor number reaches a second critical number corresponding to the onset of a Hopf bifurcation. Existence of an axial flow, manifested by a pressure gradient appears to further advance each critical point on the bifurcation diagram. Complete flow field together with viscosity maps are given for different scenarios in the bifurcation diagram.

Copyright © 2011 by ASME
Topics: Stability , Axial flow

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