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Migrational Instability in Shear-Thinning Suspensions

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

Abstract

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.

Keywords

Pipe Flow Concentrate Suspension Simple Shear Flow Pipeline Transport Isaac Newton Institute 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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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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