Migrational Instability in Shear-Thinning Suspensions

  • J. D. Goddard
Conference paper
Part of the Fluid Mechanics and its Applications book series (FMIA, volume 43)


This work deals with an instability arising from the shear-induced migration of particles in dense suspensions coupled with a dependence of viscosity on particle concentration. As an extension of a recent work by the present author treating the inertialess (Re = 0) linear stability of homogeneous simple shear flow, the current article includes shear-thinning effects. Depending on the importance of shear-induced migration relative to concentration-driven diffusion, the short-wave instability found in the previous work is shown to be enhanced by shear thinning. Such instability would lead ultimately to a two-phase structure, involving particle-rich regions in dynamic equilibrium with particle-depleted regions, which in the case of pipe flow should result in a “core-annular” structure, with viscous core surrounded by a less viscous lubricating layer.


Pipe Flow Concentrate Suspension Simple Shear Flow Pipeline Transport Isaac Newton Institute 
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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • J. D. Goddard
    • 1
  1. 1.Department of Applied Mechanics and Engineering SciencesUniversity of California, San DiegoLa JollaUSA

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