Inertial migration of rigid spherical particles in Poiseuille flow

Journal of Fluid Mechanics

Volumn 515, Issue , 2004, Pages 171-195

  Matas, Jean Philippe ^a   Morris, Jeffrey F ^b   Guazzelli, Élisabeth ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b HALLIBURTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BUOYANCY; COMPUTER SIMULATION; PARTICLE SIZE ANALYSIS; PINCH EFFECT; REYNOLDS NUMBER; SPHERES;

BUOYANT PARTICLES; BUOYANT SPHERES; POISEUILLE FLOW; SPHERICAL PARTICLES;

FLOW OF FLUIDS;

EXPERIMENTAL STUDY; MULTIPHASE FLOW; PARTICLE FLOW; POISEUILLE FLOW; REYNOLDS NUMBER; SPHERICAL PARTICLE;

EID: 5444234134     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004000254     Document Type: Article

References (18)

1. AOKI, H., KUROSAKI, Y. & ANZAI, H. 1979 Study on the tubular pinch effect in a pipe flow. Bull. JSME 22 164, 206-212.
2. ASMOLOV, E. S. 1999 The inertial lift on a spherical particle in a plane Poiseuille flow at large channel Reynolds number. J. Fluid Mech. 381, 63-87.
3. BRETHERTON, F. P. 1962 The motion of rigid particles in a shear flow at low Reynolds number. J. Fluid Mech. 14, 284-304.
4. HAN, M., KIM, C., KIM, M. & LEE, S. 1999 Particle migration in tube flow of suspensions. J. Rheol. 43, 1157-1174.
5. HO, B. P. & LEAL, L. G. 1974 Inertial migration of rigid spheres in two-dimensional unidirectional flows. J. Fluid Mech. 65, 365-400.
6. HOGG, A. J. 1994 The inertial migration of non-neutrally buoyant spherical particles in two-dimensional shear flows. J. Fluid Mech. 272, 285-318.
7. JEFFREY, R. C. & PEARSON, J. R. A. 1965 Particle motion in laminar vertical tube flow. J. Fluid Mech. 22, 721-735.
8. KARNIS, A., GOLDSMITH, H. L. & MASON, S. G. 1966 The flow of suspensions though tubes. V Inertial effects, Can. J. Chem. Engng 44, 181-193.
9. MATAS, J.-P., GLEZER, V., MORRIS, J. F. & GUAZZELLI, É. 2004 Trains of particles in finite-Reynolds-number pipe flow. Phys. Fluids (submitted).
10. MATAS, J.-P., MORRIS, J. F. & GUAZZELLI, É. 2003 Transition to turbulence in particulate pipe flow. Phys. Rev. Lett. 90, 014501.
11. OLIVER, R. 1962 Influence of particle rotation on radial migration in the Poiseuille flow of suspensions. Nature 194, 1269-1271.
12. REPETTI, R. V. & LEONARD, E. F. 1964 Segré-Silberberg's annulus formation: a possible explanation. Nature 203, 1346-1348.
13. RUBINOW, S. I. & KELLER, J. B. 1961 The transverse force on a spinning sphere moving in a viscous fluid. J. Fluid Mech. 11, 447-459.
14. SAFFMAN, P. G. 1965 The lift on a small sphere in a slow shear flow. J. Fluid Mech. 22, 385-400.
15. SCHONBERG, J. A. & HINCH, E. J. 1989 Inertial migration of a sphere in Poiseuille flow. J. Fluid Mech 203, 517-524.
16. SEGRÉ, G. & SILBERBERG, A. 1962 Behaviour of macroscopic rigid spheres in Poiseuille flow Part 2. Experimental results and interpretation. J. Fluid Mech. 14, 136-157.
17. TACHIBANA, M. 1973 On the behaviour of a sphere in the laminar tube flows. Rheol. Acta 12, 58-69.
18. TRITTON, D. J. 1988 Physical Fluid Dynamics, 2nd edn. Oxford Science.