Ideal Flow Along a Row of Spheres
- 1 July 1965
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 8 (7) , 1263-1266
- https://doi.org/10.1063/1.1761395
Abstract
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 induced mass per sphere has been found as a function of separation; for touching spheres the ratio of induced mass to the mass of fluid displaced is 0.173, this ratio increases with increasing separation reaching 90% of the isolated sphere value of 0.5 when the sphere centers are a little over two diameters apart.Keywords
This publication has 3 references indexed in Scilit:
- Flow Around a Spheroid in a Circular TubePhysics of Fluids, 1964
- Flow around a Sphere in a Circular TubePhysics of Fluids, 1961
- Potential functions with periodicity in one coordinateMathematical Proceedings of the Cambridge Philosophical Society, 1934