Author:
Lin C. J.,Lee K. J.,Sather N. F.
Abstract
The exact solution of the Stokes equations for the creeping motion of two spheres of arbitrary size and arbitrarily oriented with respect to a shear field is obtained by use of spherical bipolar co-ordinates. Numerical results are given for two special cases: (1) the free motion of two equal-sized spheres in simple shear flow and (2) the free motion of a sphere near a wall in the rotational shear field between two parallel disks rotating at different rates. The sphere trajectories calculated for the first of these problems are found to agree fairly well with those observed experimentally.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference14 articles.
1. Wakiya, S. 1967 J. Phys. Soc. Japan,22,1101.
2. Goldman, A. J. , Cox, R. G. & Brenner, H. 1967 a Chem. Engng Sci. 22,63.
3. Stimson, M. & Jeffery, G. B. 1926 Proc. Roy. Soc. A111,110.
4. O'Neill, M. E. 1964 Mathematika,11,67.
5. Jeffery, G. B. 1915 Proc. Lond. Math. Soc. (Ser. 2)14,327.
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