1091 
(with v = 3va/2r*), while inside this space the fluid is carried along 
with the sphere’). 
Fig. 11. Flow caused by a sphere for R = 0,4 
according to OsEEN and LAMB. 
Distribution of the vorticity and absolute flow. 
Radius of the sphere in this figure = ca 0,2 mm. 
§ 6. Oszun’s limiting current for Ro. 
In different papers OsreNn has investigated the properties of the 
general solution of equation (10) and of the corresponding equations 
for the velocity v and in two publications of 1914 and 1915 he 
determined the limit to which the solution approaches when the 
friction becomes zero and # therefore infinite’). 
In this case the diffusion vanishes and as the only cause of the 
1) The current given by (12) is no exact solution of the equations used (see 
LAMB, le. p. 598). A more exact approximation has been given by R. W. 
Burcess, American Journal of Mathematics 88, p. 81, 1916. — Lams’s method 
has been applied to ellipsoids by B. Pat, Bull. Cale. Math. Soc. X, p. 81, 1919. 
2) CG. W. Oseen, Zur Theorie des Flüssigkeitswiderstandes, Nov. Acta R. Soc. 
Scient. Upsaliensis Ser. IV, Vol. 4, 1914. 
