A Slow motion of viscous liquid caused by a slowly moving solid sphere.

Autor: O'Neill, M. E.
Zdroj: Mathematika; 1964, Vol. 11 Issue 1, p67-74, 8p
Abstrakt: A slow steady motion of incompressible viscous liquid, bounded by an infinite rigid plane, which is generated when a rigid sphere of radius a moves steadily without rotation in a direction parallel to, and at a distance d from, the plane is considered. Use is made of bispherical coordinates, which were employed some years ago by G. B. Jeffery [1] and Stimson and Jeffery [2] in solving the axi-symmetrical problems in which the sphere is fixed and rotates about a diameter perpendicular to the plane, or when two spheres move without rotation along their line of centres in infinite liquid. The coordinate system has been used recently by Dean and O'Neill [3] in solving the problem in which the sphere is fixed and rotates about a diameter parallel to the plane. [ABSTRACT FROM PUBLISHER]
Databáze: Complementary Index