The motion of an ellipsoid in tube flow at low Reynolds numbers

Journal of Fluid Mechanics

Volumn 324, Issue , 1996, Pages 287-308

  Sugihara Seki, Masako ^a  

^a KANSAI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; NEWTONIAN LIQUIDS; PARTICLES (PARTICULATE MATTER); REYNOLDS NUMBER;

INCOMPRESSIBLE FLUIDS; NON AXISYMMETRIC ELLIPSOIDS; OBLATE SPHEROID; PARTICLE TUBE SIZE RATIO; POISEUILLE FLOW; PROLATE SPHEROID; RIGID ELLIPSOIDAL PARTICLES; STOKES EQUATION;

PIPE FLOW;

EID: 0030263849     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096007926     Document Type: Article

References (36)

1. BRETHERTON, F. P. 1962 The motion of rigid particles in a shear flow at low Reynolds number. J. Fluid Mech. 14, 284-303.
2. BUNGAY, P. M. & BRENNER, H. 1973 The motion of a closely fitting sphere in a fluid filled tube, Intl J. Multiphase Flow 1, 25-56.
3. CHEN, T. C. & SKALAK, R. 1970 Spheroidal particle flow in a cylindrical tube. Appl. Sci. Res. 22, 403-441.
4. CHWANG, A. L. 1975 Hydromechanics of low-Reynolds-number flow. Part 3. Motion of a spheroidal particle in quadratic flows. J. Fluid Mech. 72, 17-34.
5. CLAEYS, I. L. & BRADY, J. F. 1993a Suspensions of prolate spheroids in Stokes flow. Part 1. Dynamics of a finite number of particles in an unbounded fluid. J. Fluid Mech. 251, 411-442.
6. CLAEYS, I. L. & BRADY, J. F. 1993b Suspensions of prolate spheroids in Stokes flow. Part 2. Statistically homogeneous dispersions. J. Fluid Mech. 251, 443-477.
7. CLAEYS, I. L. & BRADY, J. F. 1993c Suspensions of prolate spheroids in Stokes flow. Part 3. Hydrodynamic transport properties of crystalline dispersions. J. Fluid Mech. 251, 479-500.
8. CLIFT, R., GRACE, J. R. & WEBER, M. E. 1978 Bubbles, Drops, and Particles. Academic.
9. GOLDSMITH, H. L. & MASON, S. G. 1967 Rheology, Theory and Applications, vol. IV (ed. F.R. Eirich) pp. 85-250. Academic.
10. HAPPEL, J. & BRENNER, H. 1983 Low Reynolds Number Hydrodynamics. Martinus Nijhoff.
11. HINCH, E. J. & LEAL, L. G. 1972 The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles. J. Fluid Mech. 52, 683-712.
12. HINCH, E. J. & LEAL, L. G. 1979 Rotation of small non-axisymmetric particles in a simple shear flow. J. Fluid Mech. 92, 591-608.
13. Hsu, R. & GANATOS, P. 1994 Gravitational and zero-drag motion of a spheroid adjacent to an inclined plane at low Reynolds number. J. Fluid Mech. 268, 267-292.
14. Hsu, R. & SECOMB, T. W. 1989 Motion of nonaxisymmetric red blood cells in cylindrical capillaries. J. Biomech. Engng 111, 147-151.
15. JEFFERY, G. B. 1922 The motion of ellipsoidal particles immersed in a viscous fluid. Proc. R Soc. Lond. A 102, 161-179.
16. KIM, S. & KARRILA, S. J. 1991 Microhydrodynamics: Principles and Selected Applications. Butterworth-Heinemann.
17. LEAL, L. G. & HINCH, E. J. 1971 The effect of weak Brownian rotations on particles in shear flow. J. Fluid Mech. 46, 685-703.
18. LEICHTBERG, S., PFEFFER, R. & WEINBAUM, S. 1976 Stokes flow past finite coaxial clusters of spheres in a circular cylinder. Intl J. Multiphase Flow 3, 147-169.
19. Li, X., ZHOU, H. & POZRIKIDIS, C. 1995 A numerical study of the shearing motion of emulsions and foams. J. Fluid Mech. 286, 379-404.
20. OBERBECK, A. 1876 Ueber stationäre Flüssigkeitsbewegungen mit Berücksichtigung der inneren Reibung. J. Reine Angew. Math. 81, 62-80.
21. OLSON, M. D. & TUANN, S. Y. 1978 Finite Elements in Fluids, vol. 3, pp. 73-87. Wiley.
22. POZRIKIDIS, C. 1992 Boundary Integral and Singularity Methods for Linearized Viscous Flow. Cambridge University Press.
23. POZRIKIDIS, C. 1994 The motion of particles in the Hele-Shaw cell. J. Fluid Mech. 261, 199-222.
24. SECOMB, T. W. & Hsu, R. 1993 Non-axisymmetric motion of rigid closely fitting particles in fluid-filled tubes. J. Fluid Mech. 257, 403-420.
25. SECOMB, T. W., SKALAK, R., ÖZKAYA, N. & GROSS, J. F. 1986 Flow of axisymmetric red blood cells in narrow capillaries. J. Fluid Mech. 163, 405-423.
26. STOVER, C. A. & COHEN, C. 1990 The motion of rodlike particles in the pressure driven flow between two flat plates. Rheol Acta 29, 192-203.
27. SUGIHARA-SEKI, M. 1993 The motion of an elliptical cylinder in channel flow at low Reynolds numbers. J. Fluid Mech. 257, 575-596.
28. SUGIHARA-SEKI, M. 1995 Effect of irregularities of vessel cross-section on vascular resistance. Fluid Dyn. Res. 17, 1-11.
29. TÖZEREN, H. 1982 Torque on eccentric spheres flowing in tubes. Trans ASME E: J. Appl. Mech. 49, 279-283.
30. TÖZEREN, H. & SKALAK, R. 1978 The steady flow of closely fitting incompressible elastic spheres in a tube. J. Fluid Mech. 87, 1-16.
31. WAKIYA, S. 1957 Viscous flows past a spheroid. J. Phys. Soc. Japan 12, 1130-1141.
32. WANG, H. & SKALAK, R. 1969 Viscous flow in a cylindrical tube containing a line of spherical particles. J. Fluid Mech. 38, 75-96.
33. WEINBAUM, S., GANATOS, P. & YAN Z.-Y. 1990 Numerical multipole and boundary integral equation techniques in Stokes flow. Ann. Rev. Fluid Mech. 22, 275-316.
34. ZHOU, H. & POZRIKIDIS, C. 1993a The flow of suspensions in channels: Single files of drops. Phys. Fluids A 5, 311-324.
35. ZHOU, H. & POZRIKIDIS, C. 1993b The flow of ordered and random suspensions of two-dimensional drops in a channel. J. Fluid Mech. 255, 103-127.
36. ZHOU, H. & POZRIKIDIS, C. 1995 Adaptive singularity method for Stokes flow past particles. J. Comput. Phys. 117, 79-89.