The effect of slip on the motion of a sphere close to a wall and of two adjacent spheres

Journal of Engineering Mathematics - Tập 7 Số 3 - Trang 207-221 - 1973
L. M. Hocking1
1Department of Mathematics, University College London, England

Tóm tắt

Từ khóa


Tài liệu tham khảo

L. M. Hocking and P. R. Jonas, The collision efficiency of small drops,Quart. J. Roy. Met. Soc., 96 (1970) 722?729.

M. H. Davis and J. D. Sartor, Theoretical collision efficiencies for small cloud droplets in Stokes flow,Nature 215 (1967) 1371?1372.

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.

C.-Y. Liu and L. Lees, In Rarefied Gas Dynamics Suppl. 1. Advances in Applied Mechanics: Academic Press (1961).

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.

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.

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.

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.

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.

J. Happel and H. Brenner, Low Reynolds number hydrodynamics, Prentice-Hall, New York (1965).

M. H. Davis, The slow translation and rotation of two unequal spheres in a viscous fluid,Chem. Eng. Sci., 24 (1969) 1769?1776.

P. R. Jonas, The collision efficiency of small drops,Quart. J. Roy. Met. Soc., 98 (1972) 681?683.

M. H. Davis, Collision of small cloud droplets: gas kinetic effects, submitted toJ. Atmos. Sci.