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The effect of slip on the motion of a sphere close to a wall and of two adjacent spheres. (English) Zbl 0263.76066

MSC:
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
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[1] L. M. Hocking and P. R. Jonas, The collision efficiency of small drops,Quart. J. Roy. Met. Soc., 96 (1970) 722-729. · doi:10.1002/qj.49709641013
[2] M. H. Davis and J. D. Sartor, Theoretical collision efficiencies for small cloud droplets in Stokes flow,Nature 215 (1967) 1371-1372. · doi:10.1038/2151371a0
[3] A. S. G. Curtis and L. M. Hocking, Collision efficiency of equal spherical particles in a shear flow?the influence of London?van der Waals forces,Trans. Faraday Soc., 66 (1970) 1381-1390. · doi:10.1039/tf9706601381
[4] C.-Y. Liu and L. Lees, In Rarefied Gas Dynamics Suppl. 1. Advances in Applied Mechanics: Academic Press (1961).
[5] M. E. O’Neill and K. Stewartson, On the slow motion of a sphere parallel to a nearby plane wall,J. Fluid Mech., 27 (1967) 705-724. · Zbl 0147.45302 · doi:10.1017/S0022112067002551
[6] 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. Applies., 4 (1968) 163-173. · Zbl 0159.58003 · doi:10.1093/imamat/4.2.163
[7] M. D. A. Cooley and M. E. O’Neill, On the slow motion generated in a viscous fluid by the approach of a sphere to a plane wall or stationary sphere,Mathematika, 16 (1969) 37-49. · Zbl 0174.27703 · doi:10.1112/S0025579300004599
[8] M. E. O’Neill and S. R. Majumdar, Asymmetrical slow viscous fluid motions caused by the translation or rotation of two spheres,Z. angew. Math. Phys., 21 (1970) 164-187. · Zbl 0201.29402 · doi:10.1007/BF01590641
[9] A. J. Goldman, R. G. Cox and H. Brenner, Slow viscous motion of a sphere parallel to a plane wall,Chem. Eng. Sci., 22 (1967) 637-651. · doi:10.1016/0009-2509(67)80047-2
[10] J. Happel and H. Brenner, Low Reynolds number hydrodynamics, Prentice-Hall, New York (1965). · Zbl 0612.76032
[11] M. H. Davis, The slow translation and rotation of two unequal spheres in a viscous fluid,Chem. Eng. Sci., 24 (1969) 1769-1776. · doi:10.1016/0009-2509(69)87020-X
[12] P. R. Jonas, The collision efficiency of small drops,Quart. J. Roy. Met. Soc., 98 (1972) 681-683. · doi:10.1002/qj.49709841717
[13] M. H. Davis, Collision of small cloud droplets: gas kinetic effects, submitted toJ. Atmos. Sci.
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