Drag force of interacting coaxial spheres in viscoplastic fluids

Journal of Non-Newtonian Fluid Mechanics

Volumn 135, Issue 2-3, 2006, Pages 83-91

  Jie, Peng ^a   Zhu, Ke Qin ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Drag force; Herschel Bulkley fluid; Multi spheres; Viscoplastic flow

Indexed keywords

CREEP; DRAG; HYDRODYNAMICS; NUMERICAL ANALYSIS; REYNOLDS NUMBER; SPHERES; VISCOUS FLOW; YIELD STRESS;

COAXIAL SPHERES; DRAG FORCE; HERSCHEL-BULKLEY FLUID FLOW; MULTI-SPHERES; VISCOPLASTIC FLOW;

VISCOPLASTICITY;

CREEP; DRAG; HYDRODYNAMICS; NUMERICAL ANALYSIS; REYNOLDS NUMBER; SPHERES; VISCOPLASTICITY; VISCOUS FLOW; YIELD STRESS;

EID: 33646351262     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2006.01.006     Document Type: Article

References (30)

1. Nasseri S., and Phan-Thien N. Hydrodynamic interaction between two nearby swimming micromachines. Comput. Mech. 20 6 (1997) 551-559
2. Chung S.T., and Kwon T.H. Numerical simulation of fiber orientation in injection moulding of short-fiber-reinforced thermoplastics. Polym. Eng. Sci. 7 35 (1995) 604-618
3. Fan X., Phan-Thien N., and Zheng R. A direct simulation of fibre suspensions. J. Non-Newtonian Fluid Mech. 74 (1998) 113-135
4. Pozrikidis C. Dynamic simulation of the flow of suspensions of two-dimensional particles with arbitrary shapes. Eng. Anal. Boundary Elem. 25 1 (2001) 19-30
5. Shelley M., and Ueda T. The Stokesian hydrodynamics of flexing, stretching filaments. Phys. D 146 (2000) 221-245
6. Zhu C., Lam K., Chu H.H., Tang X.D., and Liu G.L. Drag forces of interacting spheres in power-law fluids. Mech. Res. Commun. 30 (2003) 651-662
7. Chhabra R.P. Bubbles, Drops and Particles in Non-Newtonian Fluids (1993), CRC Press, Boca Raton, FL
8. Smoluchowski M. On the mutual action of spheres which move in a viscous liquid. Bull. Int. Acad. Sci. Cracovie. 1A (1911) 28-29
9. Stimson M., and Jeffery G.B. The motion of two spheres in a viscous fluid. Proc. Roy. Soc. A 111 (1926) 110-116
10. Kynch G.J. The slow motion of two or more spheres through a viscous fluid. J. Fluid Mech. 28 (1959) 193-208
11. Zick A., and Homsy G.M. Stokes flow through periodic arrays of spheres. J. Fluid Mech. 115 (1982) 13-26
12. Atapattu D.D., Chhabra R.P., and Uhlherr P.H.T. Creeping motion in Herschel-Bulkley fluids: flow field and drag. J. Non-Newtonian Fluid Mech. 59 (1995) 245-265
13. Hariharaputhiran M., Subramanian R.S., Campbell G.A., and Chhabra R.P. The settling of spheres in a viscoplastic fluid. J. Non-Newtonian Fluid Mech. 79 (1998) 87-97
14. Beris A.N., Tsamopoulos J.A., Armstrong R.C., and Brown R.A. Creeping motion of a sphere through a Bingham plastic. J. Fluid Mech. 158 (1985) 219-244
15. Blackery J., and Mitsoulis E. Creeping motion of a sphere in tubes filled with a Bingham plastic material. J. Non-Newtonian Fluid Mech. 70 (1997) 59-77
16. Beaulne M., and Mitsoulis E. Creeping motion of a sphere in tubes filled with Herschel-Bulkley fluids. J. Non-Newtonian Fluid Mech. 72 (1997) 55-71
17. Liu B.T., Muller S.J., and Denn M.M. Convergence of a regularisation method for creeping flow of a Bingham material about a rigid sphere. J. Non-Newtonian Fluid Mech. 102 (2002) 179-191
18. Besses B.D., Magnin A., and Jay P. Sphere drag in a viscoplastic fluid. AIChE J. 50 10 (2004) 2627-2629
19. Madhav G.V., and Chhabra R.P. Settling velocities of non-spherical particles in non-Newtonian polymer solutions. Powder Technol. 78 (1994) 77-83
20. Feng J., Joseph D.D., Glowinski R., and Pan T.W. A three-dimensional computation of the force and torque on an ellipsoid settling slowly through a viscoelastic fluid. J. Fluid Mech. 283 (1995) 1-16
21. Staish M.G., and Zhu J. Flow resistance and mass transfer in slow non-Newtonian flow through multiparticle systems. J. Appl. Mech. 59 (1992) 431
22. Jaiswal A.K., Sundararajan T., and Chhabra R.P. Hydrodynamics of creeping flow of power law fluids through particle assemblages. Int. J. Eng. Sci. 31 (1993) 293-306
23. Liu B.T., Muller S.J., and Denn M.M. Interactions of two rigid spheres translating collinearly in creeping flow in a Bingham material. J. Non-Newtonian Fluid Mech. 113 (2003) 49-67
24. Papanastasiou T.C. Flows of materials with yield. J. Rheol. 31 (1987) 385-404
25. Barnes H.A. The yield stress-a review or 'παυταρει'-everything flows?. J. Non-Newtonian Fluid Mech. 81 (1999) 133-178
26. Smyrnaios D.N., and Tsamopoulos J. Squeeze flow of Bingham plastics. J. Non-Newtonian Fluid Mech. 100 (2001) 165-190
27. Frigaard I.A., and Nouar C. On the usage of viscosity regularisation methods for visco-plastic fluid flow computation. J. Non-Newtonian Fluid Mech. 127 1 (2005) 1-26
28. Missirlis K.A., Assimacopoulos D., and Mitsoulis E. A finite volume approach in the simulation of viscoelastic expansion flows. J. Non-Newtonian Fluid Mech. 78 (1998) 91-118
29. Missirlis K.A., Assimacopoulos D., Mitsoulis E., and Chhabra R.P. Wall effects for motion of spheres in power-law fluids. J. Non-Newtonian Fluid Mech. 96 (2001) 459-471
30. Gluckman M.J., Pfeffer R., and Weinbaum S. A new technique for treating multiparticle slow viscous flow: axisymmetric flow past spheres and spheroids. J. Fluid Mech. 50 4 (1971) 705-740