The elastohydrodynamic force on a sphere near a soft wall

Physics of Fluids

Volumn 19, Issue 10, 2007, Pages

  Urzay, Javier ^a   Llewellyn Smith, Stefan G ^a   Glover, Beverley J ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC ANALYSIS; CONSTITUTIVE EQUATIONS; ELASTOHYDRODYNAMICS; NAVIER STOKES EQUATIONS; ROTATIONAL FLOW; SPHERES; WALL FLOW;

BOUNDARY DEFORMATION; ELASTOHYDRODYNAMIC FORCE;

FLUID MECHANICS;

ASYMPTOTIC ANALYSIS; CONSTITUTIVE EQUATIONS; ELASTOHYDRODYNAMICS; FLUID MECHANICS; NAVIER STOKES EQUATIONS; ROTATIONAL FLOW; SPHERES; WALL FLOW;

EID: 35748955833     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2799148     Document Type: Article

References (15)

1. Z. M. Jin and D. Dowson, "Elastohydrodynamic lubrication in biological systems," Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol. PEJTET1350-650110.1243/135065005X33982 219, 367 (2005).
2. E. M. Purcell, "The efficiency of propulsion by a rotating flagellum," Proc. Natl. Acad. Sci. U.S.A. PNASA60027-842410.1073/ pnas.94.21.11307 94, 11307 (1997).
3. T. S. Yu, E. Lauga, and A. E. Hosoi, "Experimental investigations of elastic tail propulsion at low Reynolds numbers," Phys. Fluids PHFLE61070-6631 18, 019701 (2006).
4. E. M. Purcell, "Life at low Reynolds number," Am. J. Phys. AJPIAS0002-950510.1119/1.10903 45, 3 (1977).
5. E. Lauga, W. R. DiLuzio, G. M. Whitesides, and H. Stone, "Swimming in circles: Motion of bacteria near solid boundaries," Biophys. J. BIOJAU0006-349510.1529/biophysj.105.069401 90, 400 (2006).
6. P. G. Saffman, "The lift on a small sphere in a slow shear flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112065000824 22, 385 (1964).
7. S. G. Bike and D. C. Prieve, "The electrokinetic lift of a sphere moving in a slow shear flow parallel to a wall," J. Colloid Interface Sci. JCISA50021-979710.1006/jcis.1995.1472 175, 422 (1995).
8. H. H. Hu and D. D. Joseph, "Lift on a sphere near a plane wall in a second order fluid," J. Non-Newtonian Fluid Mech. JNFMDI0377-025710.1016/S0377-0257(99)00013-0 88, 173 (1999).
9. J. M. Skotheim and L. Mahadevan, "Soft lubrication: The elastohydrodynamics of nonconforming and conforming contacts," Phys. Fluids PHFLE61070-663110.1063/1.1985467 17, 092101 (2005).
10. M. E. O'Neill and K. Stewartson, "On the slow motion of a sphere parallel to a nearby plane wall," J. Fluid Mech. JFLSA70022-112010.1017/S0022112067002551 27, 705 (1967).
11. M. D. A. Cooley and M. E. O'Neill, "On the slow rotation of a sphere about a diameter parallel to a nearby plane wall," J. Inst. Math. Appl. JMTAA80020-293210.1093/imamat/4.2.163 4, 163 (1968).
12. A. J. Goldman, R. G. Cox, and H. Brenner, "Slow viscous motion of a sphere parallel to a plane wall-motion through a quiescent fluid," Chem. Eng. Sci. CESCAC0009-250910.1016/0009-2509(67)80047-2 22, 637 (1966).
13. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Pergamon Press, London, 1959).
14. S. J. Weekley, S. L. Waters, and O. E. Jensen, "Transient elastohydrodynamic drag," Q. J. Mech. Appl. Math. QJMMAV0033-5614 59, 277 (2006).
15. C. Berdan and L. G. Leal, "Motion of a sphere in the presence of a deformable interface," J. Colloid Interface Sci. JCISA50021-979710.1016/0021-9797(82)90372-1 87, 62 (2005).