The same diagram will serve to illustrate the motion outside of any oblate spheroid 

 placed so that its focal circle coincides with the perimeter of the disk, such as the one shown 

 in outline by the elliptical curve in Figure 234. The ellipsoid is assumed to be in translation 

 along its axis of symmetry. For, if k is fixed, variation of Cq changes only the factor of pro- 

 portionality g^ in i/i, which changes i/i at all points in the same ratio but does not alter the 

 geometrical pattern of the streamlines. 



Figure 234 - See Section 138, Case 1. (Copied from Reference 1.) 



Case 2. Flow Past an Ohlate Spheroid or a Circular Disk, Parallel to its Axis. Let the 

 velocity of the fluid at infinity be V toward \i - -1. Adding to the expressions for <f) and i// 

 in Equations [I38d', e'] Ux for and U7o''/2 for i/*. 



<t>^kVti[C+9Al-Ccot-^ C)], 



4j =— /fc2^(^2^1)(l-fi2) 



1-C7„ cofV- 



4^^ + 1/J 



[138p'] 

 [138q'] 



Here again q^ ~ 0; and, if a prime denotes values as given by Equations [I38h ' to 138k '], 



= a'y- U, 



H=H 



e^\ 



4 +M- 



1/2 



►2,2/ V- ¥■ -2,2 



1-^^ 



4 +^' 



[138r; s'] 



On the .r-axis and in the y2-plane q = |m| and u - u' ~ I) . 



362 



