On a paradox in the motion of a rigid particle along a wall in a fluid

Fluid Dynamics

Volumn 38, Issue 3, 2003, Pages 443-457

  Prokunin, A N ^a  

^a NONE

Author keywords

Cavitation; Creeping flow; Spherical particle; Wall

Indexed keywords

CAVITATION; PARTICLE MOTION; REYNOLDS NUMBER; SPHERICAL PARTICLE; SURFACE ROUGHNESS; WALL;

EID: 0141456161     PISSN: 00154628     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025102207640     Document Type: Article

References (15)

1. B. V. Deryagin, Theory of Stability of Colloids and Thin Films [in Russian], Nauka, Moscow (1986).
2. A. J. Goldman, R. G. Cox, and H. Brenner, "Slow viscous motion of a sphere parallel to a plane wall," Chem. Eng. Sci., 22, No. 4, 637-651 (1967).
3. M. E. O'Neill and K. Stewartson, "On the slow motion of a sphere parallel to a nearby plane wall," J. Fluid Mech., 27, Pt 4, 705-724 (1967).
4. J. R. Smart, S. Beimfohr, and D. T. Leighton, "Measurement of the translational and rotational velocities of a noncolloidal sphere rolling down a smooth inclined plane at low Reynolds number," Phys. Fluids A. 5, No. 1, P. 13-24 (1993).
5. K. P. Galvin, Y. Zhao, and R. H. Davis, "Time-averaged hydrodynamic roughness of a noncolloidal sphere in low Reynolds number motion down an inclined plane," Phys. Fluids, 13, No. 11, 3108-3109 (2001).
6. A. N. Prokunin, "Sedimentation of a spherical particle along an inclined plane in a viscous fluid at low Reynolds numbers," Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 129-136 (1998).
7. K. L. Johnson, Contact Mechanics, Univ. Press, Cambridge (1985).
8. A. N. Prokunin and M. C. Williams, "Sedimentation of a spherical particle along an inclined plane at high Reynolds numbers," Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 105-112 (1996).
9. S. I. Rubinow and J. B. Keller, "The transverse force on a spinning sphere moving in a viscous fluid," J. Fluid Mech., 11, Pt 3, 447-449 (1961).
10. P. G. Saffman, "The lift on a small sphere in a slow shear flow," J. Fluid Mech., 22, Pt 2, 385-400 (1965).
11. A. N. Prokunin and O. V. Voinov, "On a cavitation in spherical-particle slow motion in a liquid along a wall," USNCTAM 14, Blacksburg, 257 (2002).
12. O. V. Voinov and A. N. Prokunin, "Slow contactless motion of a spherical particle along a wall in a liquid," Intern. Conf. of Colloid Chemistry and Physicochemical Mechanics, Odessa, 40 (2001).
13. A. I. Leonov and A. N. Prokunin, Nonlinear Phenomena in Flows of Viscoelastic Polymer Fluids, Chapman and Hall, London (1994).
14. A. V. Bazilevskii, V. M. Entov, M. M. Lerner, and A. N. Rozhkov, "Disintegration of filaments in polymer solutions," Vysokomolekulyarnye Soedineniya, Ser. A and B, 39, No. 3, 474-482 (1997).
15. N. V. Butenin, Yu. I. Neimark, and N. A. Fufaev, Introduction to the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1976).