Korea-Australia Rheology Journal

The Korean Society of Rheology (한국유변학회)
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Numerical simulations of elliptic particle suspensions in sliding bi-periodic frames

  • Chung, Hee-Taeg (School of Mechanical and Aerospace Engineering, Engineering Research Institute, Gyeongsang National University) ;
  • Kang, Shin-Hyun (School of Mechanical and Aerospace Engineering, Engineering Research Institute, Gyeongsang National University) ;
  • Hwang, Wook-Ryol (School of Mechanical and Aerospace Engineering, Engineering Research Institute, Gyeongsang National University)
  • Published : 2005.12.01
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Abstract

We present numerical results for inertialess elliptic particle suspensions in a Newtonian fluid subject to simple shear flow, using the sliding bi-periodic frame concept of Hwang et al. (2004) such that a particulate system with a small number of particles could represent a suspension system containing a large number of particles. We report the motion and configurational change of elliptic particles in simple shear flow and discuss the inter-relationship with the bulk shear stress behaviors through several example problems of a single, two-interacting and ten particle problems in a sliding bi-periodic frame. The main objective is to check the feasibility of the direct simulation method for understanding the relationship between the microstructural evolution and the bulk material behaviors.

Keywords

References

  1. Fan, X., N. Phan-Thien and R. Zheng, 1998, A direct simulation of fibre suspensions, J. Non-Newtonian Fluid Mech. 74, 113- 135 https://doi.org/10.1016/S0377-0257(97)00050-5
  2. Glowinski, R., T.-W. Pan, T.I. Hesla and D.D. Joseph, 1999, A distributed Lagrangian multiplier/fictitious domain method for particulate flows. Intern. J. Multiphase Flows 25, 755- 749 https://doi.org/10.1016/S0301-9322(98)00048-2
  3. Hildebrand, F.B., 1976, Advanced Calculus for Applications, Prentice-Hall, New Jersey
  4. Hwang, W.R., M.A. Hulsen and H.E.H. Meijer, 2004a, Direct simulation of particle suspensions in sliding bi-periodic frames, J. Comput. Phys. 194, 742-772 https://doi.org/10.1016/j.jcp.2003.09.023
  5. Hwang, W.R., M.A. Hulsen and H.E.H. Meijer, 2004b, Direct simulations of particle suspensions in a viscoelastic fluid in sliding bi-periodic frames, J. Non-Newtonian Fluid Mech. 121, 15-33 https://doi.org/10.1016/j.jnnfm.2004.03.008
  6. Hwang, W.R., M.A. Hulsen, H.E.H. Meijer and T.H. Kwon, 2004c, Direct numerical simulations of suspensions of spherical particles in a viscoelastic fluid in sliding tri-periodic domains, in Proceedings of the XIVth International Congress on Rheology, Seoul, Korea, August 22-27, CR10.1-CR10.3
  7. Larson, R.G., 1999, The structure and rheology of complex fluids, Oxford University Press
  8. Lees, A.W. and S.F. Edwards, 1972, The computer study of transport processes under extreme conditions, J. Phys. C: Solid State Phys. 5, 1921-1929 https://doi.org/10.1088/0022-3719/5/15/006
  9. Peskin, C.S., 1972, Flow patterns around heart valves: a numerical method, J. Comput. Phys. 10, 252-271 https://doi.org/10.1016/0021-9991(72)90065-4
  10. Rahnama, M., D.L. Koch and E.S.G. Shaqfeh, 1995, The effect of hydrodynamic interactions on the orientation distribution in a fiber suspension subject to simple shear flow, Phys. Fluids A 2, 2093-2102 https://doi.org/10.1063/1.857795
  11. Yamane, Y., Y. Kaneda and M. Doi, 1994, Numerical simulation of semi-dilute suspensions of rodlike particles in shear flow, J. Non-Newtonian Fluid Mech. 54, 405-421 https://doi.org/10.1016/0377-0257(94)80033-2