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Issue
Korean Journal of Chemical Engineering,
Vol.21, No.1, 27-33, 2004
Mathematical Model of Migration of Spherical Particles in Tube Flow Under the Influence of Inertia and Particle-particle Interaction
Kim C
In this paper, a mathematical model is considered of the migration of non-colloidal, spherical particles suspended in Newtonian fluid under Poiseuille flows by combining the inertial migration theory by Ho and Leal (JFM, 1974) and particle migration model in concentrated suspension by Phillips et al. (Phys. Fluids, 1992). The numerical solutions of the model equations reveal that the model set up here explains the experimental observation reported in the literature when Rep<1, at least qualitatively. It was concluded that both the inertia and particle-particle interaction should be taken into account properly to understand the particle migration in tube flow of suspension regardless of particle loading.
Keywords: Shear-induced Migration; Inertial Migration; Particle-particle Interaction; Suspension; Velocity Blunting; Segre-Silberberg Effect
[References]
  1. Abbot JR, Tetlow N, Graham AL, Altobelli SA, Fukushima E, Mondy LA, Stevens TS, J. Rheol., 35, 773, 1991
  2. Altobelli SA, Givler RC, Fukushima E, J. Rheol., 35, 721, 1991
  3. Cha W, Beissinger RL, Korean J. Chem. Eng., 18(4), 479, 2001
  4. Chow AW, Sinton SW, Iwamiya JH, J. Rheol., 37, 1, 1993
  5. Chow AW, Sinton SW, Iwamiya JH, Stephens TS, Phys. Fluids, 6, 2561, 1994
  6. Chin BD, Park OO, Korean J. Chem. Eng., 18(1), 54, 2001
  7. Eastman JA, Choi SUS, Li S, Yu W, Thompson LJ, Appl. Phys. Lett., 78, 718, 2001
  8. Graham AL, Altobelli SA, Fukushima E, Mondy LA, Stevens TS, J. Rheol., 35, 191, 1991
  9. Hampton RE, Mammoli AA, Graham AL, Tetlow N, Altobelli SA, J. Rheol., 41(3), 621, 1997
  10. Han M, Kim C, Kim M, Lee S, J. Rheol., 43(5), 1157, 1999
  11. Happel J, Brenner H, "Low Reynolds Number Hydrodynamics," Martinus Nijhoff, 1983
  12. Ho BP, Leal LG, J. Fluid Mech., 65, 365, 1974
  13. Koh CJ, Hookam P, Leal LG, J. Fluid Mech., 266, 1, 1994
  14. Krieger IM, Dougherty TJ, Trans. Soc. Rheol., 3, 137, 1959
  15. Leighton D, Acrivos A, J. Fluid Mech., 181, 415, 1987
  16. Lim JS, Kim JH, Kim C, Kim SW, Korea-Aust. Rheol. J., 14(1), 11, 2002
  17. Mondy LA, Brenner H, Altobelli SA, Abbott JR, Graham AL, J. Rheol., 38(2), 444, 1994
  18. Nott PB, Brady J, J. Fluid Mech., 275, 157, 1994
  19. Okada K, Mitsunaga T, Nagase Y, Korea-Aust. Rheol. J., 15(1), 43, 2003
  20. Phillips RJ, Armstrong RC, Brown RA, Graham AL, Abott JR, Phys. Fluids A, 4, 30, 1992
  21. Segre G, Silberberg A, J. Fluid Mech., 14, 115, 1962
[Cited By]
  1. Kang HU, Kim WG, Kim SH, Korea-Australia Rheology Journal, 19(3), 99, 2007
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