On the flow past a sphere at low Reynolds number
- 28 July 1969
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 37 (4) , 751-760
- https://doi.org/10.1017/s0022112069000851
Abstract
The flow of an incompressible, viscous fluid past a sphere is considered for small values of the Reynolds number. In particular the drag is found to be given by \[ D = D_s\{1+{\textstyle\frac{3}{8}}R+{\textstyle\frac{9}{40}}R^2(\log R+\gamma + {\textstyle\frac{5}{3}}\log 2 - {\textstyle\frac{323}{360}})+{\textstyle\frac{27}{80}}R^3\log R+O(R^3)\}, \] where Ds is the Stokes drag, R is the Reynolds number and γ is Euler's constant.
Keywords
This publication has 2 references indexed in Scilit:
- Accurate measurements of sphere drag at low Reynolds numbersJournal of Fluid Mechanics, 1965
- Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinderJournal of Fluid Mechanics, 1957