A NOTE ON STOKES SOLUTION FOR A FLOW PAST A SPHERE

被引:1
作者
ARAI, T
机构
[1] School of Science and Engineering, Tokyo Denki University, Hatoyama, Saitama
关键词
D O I
10.1016/0169-5983(95)00014-5
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The difference between Stokes' solution for a viscous flow past a sphere and the corresponding generalized solution of the Navier-Stokes equation is estimated. This estimate implies that Stokes' solution cannot be close to the exact solution of the Navier-Stokes equation for small Reynolds' numbers, in conformity with the content of classical ''Whitehead's paradox''.
引用
收藏
页码:109 / 113
页数:5
相关论文
共 4 条
[1]  
Finn, On the exterior stationary problem for the Navier-Stokes equation and associated perturbation problems, Arch. Rat. Mech. and Anal., 19, pp. 363-406, (1965)
[2]  
Ladyzhenskaya, The mathematical theory of viscous incompressible flow, (1963)
[3]  
Lamb, Hydrodynamics, (1932)
[4]  
Oseen, Neuere Methoden und Ergebnisse in der Hydrodinamik, (1927)