Dissipative descent: Rocking and rolling down an incline

Journal of Fluid Mechanics

Volumn 590, Issue , 2007, Pages 295-318

  Balmforth, N J ^a   Bush, J W M ^b   Vener, D ^b   Young, W R ^c  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; CONTACTS (FLUID MECHANICS); MATHEMATICAL MODELS; SURFACE ROUGHNESS; VISCOUS FLOW;

ROLLING MOTION; ROLLING SPEED;

FLUID DYNAMICS;

ACCELERATION; CONTACTS (FLUID MECHANICS); FLUID DYNAMICS; MATHEMATICAL MODELS; SURFACE ROUGHNESS; VISCOUS FLOW;

DISSIPATION; FLUID DYNAMICS; FLUID FLOW; VISCOUS FLOW;

EID: 35948954290     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007008051     Document Type: Article

References (10)

1. ASHMORE, J., DEL PINO, C. & MULLIN, T. 2005 Cavitation in a lubrication flow between a moving sphere and a boundary. Phys. Rev. Lett. 94, 124501.
2. FINN, M. & COX, S. 2001 Stokes flow in a mixer with changing geometry. J. Engng Maths 41, 75-99.
3. GOLDMAN, A. J., Cox, R. G. & BRENNER, H. 1967 Slow viscous motion of a sphere parallel to a plane wall - I Motion through a quiescent fluid. Chem. Engng Sci. 22, 637-665.
4. JEFFREY, D. J. & ONISHI, Y. 1981 The slow motion of a cylinder next to a plane wall. Q. J. Mech. Appl. Maths 34, 129-137.
5. PINKUS, O. & STERNLICHT, B. 1961 Theory of Hydrodynamic Lubrication. McGraw-Hill.
6. PROKUNIN, A. N. 2004 Microcavitation in the slow motion of a solid spherical particle along a wall in a fluid. Fluid Dyn. 39, 771-778.
7. SEDDON, J. R. T. & MULLIN, T. 2006 Reverse rotation of a cylinder near a wall. Phys. Fluids 18, 041703.
8. SMART, J. R., BEIMFOHR, S. & LEIGHTON, D. T. 1993 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, 13-24.
9. VENER, D. 2006 Rocking and rolling down an incline: The dynamics of nested cylinders on a ramp. PhD Thesis, MIT.
10. YANG, L., SEDDON, J. R. T., MULLIN, T., DEL PINO, C. & ASHMORE, J. 2006 The motion of a rough particle in a Stokes flow adjacent to a boundary. J. Fluid Mech. 557, 337-346.