zbMATH — the first resource for mathematics

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

76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
Full Text: DOI
[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.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.