Commun. Comput. Phys., 5 (2009), pp. 61-83.


Numerical Simulations of Fiber Sedimentation in Navier-Stokes Flows

Jin Wang 1*, Anita Layton 2

1 Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529, USA.
2 Department of Mathematics, Box 90320, Duke University, Durham, NC 27708, USA.

Received 11 February 2008; Accepted (in revised version) 13 April 2008
Available online 15 July 2008

Abstract

We perform numerical simulations of the sedimentation of rigid fibers suspended in a viscous incompressible fluid at nonzero Reynolds numbers. The fiber sedimentation system is modeled as a two-dimensional immersed boundary problem, which naturally accommodates the fluid-particle interactions and which allows the simulation of a large number of suspending fibers. We study the dynamics of sedimenting fibers under a variety of conditions, including differing fiber densities, Reynolds numbers, domain boundary conditions, etc. Simulation results are compared to experimental measurements and %theoretical numerical results obtained in previous studies.

AMS subject classifications: 76D05, 76M25

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Key words: Fiber sedimentation, immersed boundaries, Navier-Stokes equations.

*Corresponding author.
Email: j3wang@odu.edu (J. Wang), alayton@math.duke.edu (A. Layton)
 

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