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Dynamics of particle migration in channel flow of viscoelastic fluids

Published online by Cambridge University Press:  23 November 2015

Gaojin Li ,
Gareth H. McKinley  and
Arezoo M. Ardekani
Gaojin Li
Affiliation:
School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, USA
Gareth H. McKinley
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Arezoo M. Ardekani*
Affiliation:
School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, USA
*
†Email address for correspondence: [email protected]
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Abstract

The migration of a sphere in the pressure-driven channel flow of a viscoelastic fluid is studied numerically. The effects of inertia, elasticity, shear-thinning viscosity, secondary flows and the blockage ratio are considered by conducting fully resolved direct numerical simulations over a wide range of parameters. In a Newtonian fluid in the presence of inertial effects, the particle moves away from the channel centreline. The elastic effects, however, drive the particle towards the channel centreline. The equilibrium position depends on the interplay between the elastic and inertial effects. Particle focusing at the centreline occurs in flows with strong elasticity and weak inertia. Both shear-thinning effects and secondary flows tend to move the particle away from the channel centreline. The effect is more pronounced as inertia and elasticity effects increase. A scaling analysis is used to explain these different effects. Besides the particle migration, particle-induced fluid transport and particle migration during flow start-up are also considered. Inertial effects, shear-thinning behaviour, and secondary flows are all found to enhance the effective fluid transport normal to the flow direction. Due to the oscillation in fluid velocity and strong normal stress differences that develop during flow start-up, the particle has a larger transient migration velocity, which may be potentially used to accelerate the particle focusing.

JFM classification

Micro-/Nano-fluid dynamics: Micro-/Nano-fluid dynamics Multiphase and Particle-laden Flows: Particle/fluid flow Non-Newtonian Flows: Viscoelasticity
Type
Papers
Information
Journal of Fluid Mechanics , Volume 785 , 25 December 2015 , pp. 486 - 505
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Copyright
© 2015 Cambridge University Press 

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Li et al. supplementary movie

The time history of the particle migration velocity during the flow start-up in a square channel filled with an Oldroyd-B fluid. The flow conditions are ReG=18.9, El=0.05 and =0. The contour plots represent the first normal stress difference.

Download Li et al. supplementary movie(Video)
Video 3.5 MB