Unsteady flow past a sphere at low Reynolds number
- 1 November 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 112 (-1) , 433-441
- https://doi.org/10.1017/s0022112081000499
Abstract
This paper complements an earlier paper by Bentwich & Miloh in which the matched asymptotic expansion type of solution is presented for an unsteady low-Reynolds-number flow past a sphere when a constant rectilinear velocity is suddenly imparted to the sphere. It is shown that the matching procedure proposed in the earlier paper is incomplete. The present paper represents a complete procedure for successful matching; the drag of the sphere is calculated up to the term of O(Re2 In Re) using the new procedure.Keywords
This publication has 3 references indexed in Scilit:
- The unsteady matched Stokes-Oseen solution for the flow past a sphereJournal of Fluid Mechanics, 1978
- Numerical Solutions for Time-Dependent Flow Past an Impulsively Started SpherePhysics of Fluids, 1972
- Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinderJournal of Fluid Mechanics, 1957