Rolling/sliding of a particle on a flat wall in a linear shear flow at finite Re

International Journal of Multiphase Flow

Volumn 37, Issue 2, 2011, Pages 108-124

  Lee, Hyungoo ^a   Ha, Man Yeong ^b   Balachandar, S ^a  

^a University of Florida   (United States)

^b Pusan National University   (South Korea)

Author keywords

Added mass and history forces; Direct numerical simulations; Drag and lift forces; Immersed boundary method; Resuspension of particles; Rolling sliding motion of a particle

Indexed keywords

DRAG AND LIFT FORCES; HISTORY FORCE; IMMERSED BOUNDARY METHODS; RE-SUSPENSION; ROLLING/SLIDING MOTION OF A PARTICLE;

DIRECT NUMERICAL SIMULATION; DRAG; FLIGHT DYNAMICS; NUMERICAL METHODS; REYNOLDS NUMBER; TURBULENT FLOW; WALLS (STRUCTURAL PARTITIONS);

SHEAR FLOW;

EID: 78751705222     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmultiphaseflow.2010.10.005     Document Type: Article

References (34)

1. Asmolov E.S., McLaughlin J.B. The inertial lift on an oscillating sphere in a linear shear flow. Int. J. Multiphase Flow 1999, 25:739-751.
2. Bagchi P., Balachandar S. Effect of free rotation on the motion of a solid sphere in linear shear flow at moderate Re. Phys. Fluids 2002, 14:2719-2737.
3. Chakraborty P., Balachandar S., Adrian R.J. On the relationships between local vortex identification schemes. J. Fluid Mech. 2005, 535:189-214.
4. Chang E.J., Maxey M.R. Unsteady-flow about a sphere at low to moderate Reynolds-number 1. Oscillatory motion. J. Fluid Mech. 1994, 277:347-379.
5. Chang E.J., Maxey M.R. Unsteady-flow about a sphere at low to moderate Reynolds-number 2. Accelerated motion. J. Fluid Mech. 1995, 303:133-153.
6. Ding E.J., Aidun C.K. The dynamics and scaling law for particles suspended in shear flow with inertia. J. Fluid Mech. 2000, 423:317-344.
7. Goldman A., Cox R.G., Brenner H. Slow viscous motion of a sphere parallel to a plane wall - I. Motion through a quiescent fluid. Chem. Eng. Sci. 1967, 22:637-651.
8. Goldman A., Cox R.G., Brenner H. Slow viscous motion of a sphere parallel to a plane wall - II. Couette flow. Chem. Eng. Sci. 1967, 22:653-660.
9. Harada S., Tanaka T., Tsuji Y. Fluid force acting on a particle falling toward a wall. JSME Int. J. 2001, 44:520-525.
10. Kendoush A.A., Sulaymon A.H., Mohammed S.A.M. Experimental evaluation of the virtual mass of two solid spheres accelerating in fluids. Exp. Therm. Fluid Sci. 2007, 31:813-823.
11. Kharlamov A.A., Chára Z., Vlasák P. Hydraulic formulae for the added masses of an impermeable sphere moving near a plane wall. J. Eng. Math. 2007, 62:161-172.
12. Kim I., Elghobashi S., Sirignano W.A. On the equation for spherical particle motion: effect of Reynolds and acceleration numbers. J. Fluid Mech. 1998, 367:221-253.
13. King M.R., Leighton D.T. Measurement of the inertial lift on a moving sphere in contact with a plane wall in a shear flow. Phys. Fluids 1997, 9:1248-1255.
14. Kossack C.A., Acrivos A. Steady simple shear flow past a circular cylinder at moderate Reynolds numbers: a numerical solution. J. Fluid Mech. 1974, 66:353-376.
15. Krishnan G.P., Leighton D.T. Inertial lift on a moving sphere in contact with a plane wall in a shear flow. Phys. Fluids 1995, 7:2538-2545.
16. Lamb H. Hydrodynamics 1932, Cambridge University Press, Cambridge. sixth ed.
17. Lawrence C.J., Mei R. Long-time behaviour of the drag on a body in impulsive motion. J. Fluid Mech. 1995, 283:307-327.
18. Lee H., Balachandar S. Drag and lift forces on a spherical particle moving on a wall in a shear flow at finite Re. J. Fluid Mech. 2010, 657:89-125.
19. Legendre D., Magnaudet J. The lift force on a spherical bubble in a viscous linear shear flow. J. Fluid Mech. 1998, 368:81-126.
20. Lovalenti P.M., Brady J.F. The force on a sphere in a uniform flow with small-amplitude oscillations at finite Reynolds number. J. Fluid Mech. 1993, 256:607-614.
21. Lovalenti P.M., Brady J.F. The hydrodynamic force on a rigid particle undergoing arbitrary time-dependent motion at small Reynolds number. J. Fluid Mech. 1993, 256:561-605.
22. Lovalenti P.M., Brady J.F. The temporal behaviour of the hydrodynamic force on a body in response to an abrupt change in velocity at small but finite Reynolds number. J. Fluid Mech. 1995, 293:35-46.
23. Mei R. History force on a sphere due to a step change in the free-stream velocity. Int. J. Multiphase flow 1993, 19:509-525.
24. Mei R., Adrian R.J. Flow past a sphere with an oscillation in the free-stream and unsteady drag at finite Reynolds number. J. Fluid Mech. 1992, 237:323-341.
25. Rivero M., Magnaudet J., Fabre J. New results on the forces exerted on a spherical body by an accelerated flow. C.R. Acad. Sci. Paris 1991, 312:1499-1506.
26. Stewart B.E., Thompson M.C., Leweke T., Hourigan K. Numerical and experimental studies of the rolling sphere wake. J. Fluid Mech. 2010, 643:137-162.
27. Takemura F., Magnaudet J. The transverse force on clean and contaminated bubbles rising near a vertical wall at moderate Reynolds number. J. Fluid Mech. 2003, 495:235-253.
28. Uhlmann M. An immersed boundary method with direct forcing for the simulation of particulate flows. J. Comput. Phys. 2005, 209:448-476.
29. Wakaba L., Balachandar S. History force on a sphere in a weak linear shear flow. Int. J. Multiphase Flow 2005, 31:996-1014.
30. Wakaba L., Balachandar S. On the added mass force at finite Reynolds and acceleration numbers. Theor. Comput. Fluid Dyn. 2007, 21:147-153.
31. Yang, F.-L., 2006. Interaction law for a collision between two solid particles in a viscous liquid. Ph.D. thesis, California Institute of Technology, Pasadena, California.
32. Zeng L., Balachandar S., Fisher P. Wall-induced forces on a rigid sphere at finite Reynolds number. J. Fluid Mech. 2005, 536:1-25.
33. Zeng L., Najjar F., Balachandar S., Fisher P. Forces on a finite-sized particle located close to a wall in a linear shear flow. Phys. Fluids 2009, 21:033302.
34. Zhou J., Adrian R.J., Balachandar S., Kendall T.M. Mechanisms for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech. 1999, 387:353-396.