A Numerical Investigation of the Detachment of the Trailing Particle From a Chain Sedimenting in Newtonian and Viscoelastic Fluids

[+] Author and Article Information
N. A. Patankar

Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455e-mail: patankar@aem.umn.edu

H. H. Hu

Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104-6315

J. Fluids Eng 122(3), 517-521 (Apr 18, 2000) (5 pages) doi:10.1115/1.1287269 History: Received October 20, 1999; Revised April 18, 2000
Copyright © 2000 by ASME
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Sequential separation of particles from a chain of six particles in a viscoelastic fluid, ρsf=1.001,Fr0.5/Re=0.026 and De/Re=2.4
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Effect of fluid elasticity. Initial separation ∼0, N=2,ρsf=1.003 and Fr0.5/Re=0.026.
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Effect of viscosity. Initial separation ∼0, N=3 and ρsf=1.01.
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Effect of density ratio. Initial separation ∼0, N=3 and Fr0.5/Re=0.026.
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Effect of number of particles in the leading chain. Initial separation ∼0, ρsf=1.005 and Fr0.5/Re=0.026.
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Phenomenon of critical distance in Newtonian fluids, N=2,ρsf=1.01 and Fr0.5/Re=0.026
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Numerical simulations are performed in a channel with the walls wide apart (the channel width is 15 times the particle diameter)
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Phenomenon of critical distance for chains settling in viscoelastic fluids
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Formation of long chains in Newtonian and viscoelastic fluids. This chain configuration is unstable in Newtonian fluids whereas it is stable in viscoelastic fluids in slow flows.
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Phenomenon of critical distance with two spheres settling in a viscoelastic fluid. The mechanism of attraction is explained by compressive normal stresses (Joseph 6). The mechanism of separation is yet unresolved.




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