Please use this identifier to cite or link to this item:
|Title:||Viscoelastic mobility problem of a system of particles|
|Keywords:||Distributed Lagrange multiplier|
Fictitious domain method
|Citation:||Yu, Z., Phan-Thien, N., Fan, Y., Tanner, R.I. (2002-06-01). Viscoelastic mobility problem of a system of particles. Journal of Non-Newtonian Fluid Mechanics 104 (2-3) : 87-124. ScholarBank@NUS Repository. https://doi.org/10.1016/S0377-0257(02)00014-9|
|Abstract:||In this paper we present a new implementation of the distributed Lagrange multiplier/fictitious domain (DLM) method by making some modifications over the original algorithm for the Newtonian case developed by Glowinski et al. [Int. J. Multiphase Flow 25 (1999) 755], and its extended version for the viscoelastic case by Singh et al. [J. Non-Newtonian Fluid Mech. 91 (2000) 165]. The key modification is to replace a finite-element triangulation for the velocity and a "staggered" (twice coarser) triangulation for the pressure with a rectangular discretization for the velocity and the pressure. The sedimentation of a single circular particle in a Newtonian fluid at different Reynolds numbers, sedimentation of particles in the Oldroyd-B fluid, and lateral migration of a single particle in a Poiseuille flow of a Newtonian fluid are numerically simulated with our code. The results show that the new implementation can give a more accurate prediction of the motion of particles compared to the previous DLM codes and even the boundary-fitted methods in some cases. The centering of a particle and the well-organized Karman vortex street are observed at high Reynolds numbers in our simulation of a particle sedimenting in a Newtonian fluid. Both results obtained using the DLM method and the spectral element method reveal that the direct contribution of the viscoelastic normal stress to the force on a particle in the Oldroyd-B fluid is very important. © 2002 Elsevier Science B.V. All rights reserved.|
|Source Title:||Journal of Non-Newtonian Fluid Mechanics|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jan 16, 2019
WEB OF SCIENCETM
checked on Jan 16, 2019
checked on Jan 12, 2019
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.