Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
Online ISSN : 2185-2707
Print ISSN : 0370-1239
ISSN-L : 0370-1239
The Forces on Two Spheres Placed in Uniform Flow
Dyûrô ENDÔ
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1938 Volume 20 Pages 667-703

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Abstract
The velocity potential for the flow past two fixed solid spheres is found in terms of the bipolar co-ordinates in three dimensions. Coefficients in it must be determined successively because it seems difficult to obtain their general expressions. In the special case when the flow is parallel to the central line, we can use the stream function and the coefficients in it can wholly be determined. Then the resultant fluid pressures on the spheres are calculated and discussed numerically. Most of the results are quite similar to the case of two circular cylinders except the magnitude of the limiting critical angle. Finally the integral formulae used in the text are given in the Appendix, as well as the tables of Legendre functions and their derivatives for arguments greater than unity
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© The Physical Society of Japan and The Mathematical Society of Japan
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