Cross-stream forces and velocities of fixed and freely suspended particles in viscoelastic Poiseuille flow: Perturbation and numerical analyses

  • Lee E
  • Koch D
  • Joo Y
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Abstract

The cross-stream migration of a circular particles (or infinitely long cylinder) in two dimensional, inertia-less viscoelastic pressure-driven flows is examined through complementary finite element simulations and second-order fluid perturbation analyses for small Deborah number (De), where De is defined as the fluid relaxation time divided by the characteristic flow time. A neutrally buoyant, freely suspended particle migrates toward the center of the channel for all particle sizes and cross-stream positions due to the coupled effects of the linear and quadratic variations of the imposed velocity. A particle that is held at a fixed position, in contrast, experiences a cross-stream force directed toward the wall as a result of the coupled effects of the local shear flow and the flow relative to the particle. © 2010 Elsevier B.V.

Author-supplied keywords

  • Finite element method
  • Numerical simulation
  • Oldroyd-B fluid
  • Particle migration
  • Second-order fluid
  • Suspension
  • Viscoelastic fluid

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Authors

  • Eric F. Lee

  • Donald L. Koch

  • Yong Lak Joo

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