Paul Michael's research while affiliated with Brookhaven National Laboratory and other places

Publication (1)

Article
The solution for the flow of an ideal fluid parallel to the axis of an infinite row of spheres has been obtained by an extension of the method of Smythe [Phys. Fluids 4, 756 (1961)]. Considered are spheres whose separation of centers varies from one diameter to infinite, the latter, of course, being the well-known case of an isolated sphere. The in...

Citations

... The equation of motion of the sphere developed by Boussinesq, Basset and Oseen (BBO equation) may be written as follows: Some approximate solutions for two-sphere problems or a sphere in the neighborhood of a plane can be found in classics like Lamb [5] and Milne-Thomson [6], where image methods are mainly used. Michael [7] solved the problem of an ideal fluid flowing parallel to the line of centers of an infinite row of spheres in an unbounded flow and derived the dependence of the added mass coefficient of a sphere on the spacing. He found that the added mass coefficient varies from 0.173 with touching spheres to 0.5 with spheres far apart. ...