Flow of power-law fluids past a sphere at intermediate reynolds numbers

Industrial and Engineering Chemistry Research

Volumn 45, Issue 13, 2006, Pages 4773-4781

  Dhole, Sunil D ^a   Chhabra, Raj P ^a   Eswaran, Vinayak ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

DRAG; EQUATIONS OF MOTION; FINITE VOLUME METHOD; FLOW PATTERNS; INCOMPRESSIBLE FLOW; REYNOLDS NUMBER; SPHERES; WAKES;

DRAG COEFFICIENT; POWER-LAW FLUIDS; PRESSURE DRAG; WAKE STRUCTURE;

FLOW INTERACTIONS;

DRAG; EQUATIONS OF MOTION; FINITE VOLUME METHOD; FLOW INTERACTIONS; FLOW PATTERNS; INCOMPRESSIBLE FLOW; REYNOLDS NUMBER; SPHERES; WAKES;

EID: 33745865494     PISSN: 08885885     EISSN: None     Source Type: Journal    
DOI: 10.1021/ie0512744     Document Type: Article

References (36)

1. Clift, R.; Grace, J. R.; Weber, M. E. Bubbles, Drops and Particles; Academic Press: New York, 1978.
2. Wilson, K. C.; Horsley, R. R.; Kealy, T.; Reizes, J. A.; Horsley, M. Direct prediction of fall velocities in non-Newtonian materials. Int. J. Miner. Process. 2003, 71, 17-30.
3. Kelessidis, V. C. An explicit equation for the terminal velocity of solid spheres falling in pseudoplastic liquids. Chem. Eng. Sci. 2004, 59, 4437-4447.
4. Lareo, C.; Fryer, P. J.; Barigou, M. The fluid mechanics of two-phase solid-liquid food flows: A review. Trans. Inst. Chem. Eng. 1997, 75C, 73-105.
5. Chhabra, R. P.; Richardson, J. F.; Non-Newtonian Flow in the Process Industries; Butterworth-Heinemann: Oxford, U.K., 1999.
6. Chhabra, R. P. Bubbles, Drops and Particles in Non-Newtonian Fluids, 2nd Edition; CRC Press: Boca Raton, FL, 2006.
7. Rodrigue, D.; DeKee, D.; Chan Man Fong, C. F. The slow motion of a spherical particle in a Carreau fluid. Chem. Eng. Commun. 1996, 154, 203-215.
8. Ceylan, K.; Herdem, S.; Abbasov, T. A theoretical model for estimation of drag force in the flow of non-Newtonian fluids around spherical solid particles. Powder Technol. 1999, 102, 286-292.
9. Renaud, M.; Mauret, E.; Chhabra, R. P. Power law fluid flow over a sphere: average shear rate and drag coefficient. Can. J. Chem. Eng. 2004, 82, 1066-1070.
10. Adachi, K.; Yoshioka, N.; Yamamoto, K. On non-Newtonian flow past a sphere. Chem. Eng. Sci. 1973, 28, 2033-2043.
11. Adachi, K.; Yoshioka, N.; Sakai, K. An investigation of non-Newtonian flow past a sphere. J. Non-Newtonian Fluid Mech. 1977/1978, 3, 107-125.
12. Tripathi, A.; Chhabra, R. P.; Sundararajan, T. Power-law fluid flow over spheroidal particles, Ind. Eng. Chem. Res. 1994, 33, 403-410.
13. Tripathi, A.; Chhabra, R. P. Drag on spheroidal particles in dilatant fluids. AIChE. J. 1995, 41, 728-731.
14. Graham, D. I.; Jones, T. E. R. Settling and transport of spherical particles in power law fluids at finite Reynolds number. J. Non-Newtonian Fluid Mech. 1994, 54, 465-488.
15. Whitney, M. J.; Rodin, G. J. Force-velocity relationships for rigid bodies translating through unbounded shear-thinning power law fluids. Int. J. Non-Linear Mech. 2001, 36, 947-753.
16. Cho, Y. I.; Hartnett, J. P. Drag coefficient of a slowly moving sphere in non-Newtonian fluids. J. Non-Newtonian Fluid Mech. 1983, 12, 243-247.
17. Dazhi, G.; Tanner, R. I. The drag on a sphere in a power law fluid. J. Non-Newtonian Fluid Mech. 1985, 17, 1-12.
18. Hsu, J. P.; Hsieh, Y.; Tseng, S. Drag force on rigid spheroidal particle in a cylinder filled with Carreau fluid. J. Colloid Interface Sci. 2005, 284, 729-741.
19. Alassar, R. S. Forced convection past an oblate spheroid at low to moderate Reynolds numbers. J. Heat Transfer 2005, 127, 1062-1070.
20. Dewsbury, K. H.; Karamanev, D.; Margaritis, A. Hydrodynamic characteristics of free rise of light solid particles and gas bubbles in non-Newtonian liquids. Chem. Eng. Sci. 1999, 54, 4825-4830.
21. Dewsbury, K. H.; Karamanev, D.; Margaritis, A. Rising solid sphere hydrodynamics at high Reynolds numbers in non-Newtonian fluids. Chem. Eng. J. 2002, 87, 129-133.
22. Tzounakos, A.; Karamanev, D.; Margaritis, A.; Bergougnou, M. A. Effect of the surfactant concentration on the rise of gas bubbles in power law non-Newtonian liquids. Ind. Eng. Chem. Res. 2004, 43, 5790-5795.
23. Eswaran, V.; Prakash, S. A finite volume method for Navier-Stokes equations. In Proceedings of the Third Asian CFD Conference, Bangalore, India, 1998; pp 127-136.
24. Sharma, A.; Eswaran, V. A finite volume method. In Computational Fluid Flow and Heat Transfer, Muralidhar, K., Sundararajan, T., Eds.; Narosa Publishing House: New Delhi, India, 2003; pp 445-482.
25. Bird, R. B.; Stewart, W. E.; Lightfoot, E. N.; Transport Phenomena, 2nd Edition; Wiley: New York, 2002.
26. Orlanski, I. A simple boundary condition for unbounded hyperbolic flows. J. Comput. Phys. 1976, 21, 251-269.
27. Dhole, S. D.; Chhabra, R. P.; Eswaran, V. A numerical study on the forced convection heat transfer from an isothermal and isoflux sphere in the steady-symmetric flow regime. Int. J. Heat Mass Transfer 2006, 49, 984-994.
28. Leonard, B. P. A stable and accurate convective modeling procedure based on quadratic upstream interpolation. Comput. Methods Appl. Mech. Eng. 1979, 19, 59-98.
29. Feng, Z. G.; Michaelides, E. E. Drag coefficients of viscous spheres at intermediate and high Reynolds numbers. J. Fluid Eng. 2001, 123, 841-849.
30. D'Alessio, S. J. D.; Pascal, J. P. Steady flow of a power law fluid past a cylinder. Acta Mech. 1996, 117, 87-100.
31. Butcher, T. A.; Irvine, T. F. Use of the falling ball viscometer to obtain flow curves for inelastic, non-Newtonian fluids. J. Non-Newtonian Fluid Mech. 1990, 36, 51-70.
32. Peden, J. M.; Luo, Y. Settling velocity of variously shaped particles in drilling and fracturing fluids. SPE Drill. Eng. 1987, (Dec.), 337-343.
33. Koziol, K.; Glowacki, P. Determination of the free settling parameters of spherical particles in power law fluids. Chem. Eng. Process. 1988, 24, 183-188.
34. Reynolds, P. A.; Jones, T. E. R. An experimental study of the settling velocities of single particles in non-Newtonian fluids. Int. J. Miner. Process. 1989, 25, 47-77.
35. Johnson, T. A.; Patel, V. C.; Flow past a sphere up to Reynolds number of 300. J. Fluid Mech. 1999, 378, 19-70.
36. Taneda, S.; Experimental investigation of the wake behind a sphere at low Reynolds numbers. J. Phys. Soc. Jpn. 1956, 11, 1104-1108.