11 



When the arc length as a function of a; is not known, the increments in s must be computed 

 from the measured increments of x and y. 



As = [Ax^ + Ay^J 



2^■^' 



[16] 



With the micrometer screw adjustment, A s may be determined to better than one thousandth of 



an inch. 



When -4^ has been determined, the ratio of the tangential velocity to the free-stream 

 as 



velocity is given by 



v^ dV /dVx'- 

 UQ d s^dx I - 



[17] 



TABLE 1 



Comparison of Experimental and Theoretical Data for Velocity and Pressure 

 Distributions on a Sphere 



X 

 T 



s 



T 



^0 



^0 





l-(^) 







Experimental 



Theoretical 



Experimental 



Theoretical 



0.996 



0.08 



0.128 



0.148 



0.984 



0.978 



0.988 



0.16 



0.214 



0.232 



0.954 



0.946 



0.976 



0.24 



0.337 



0.327 



0.886 



0.893 



0.956 



0.32 



0.464 



0,440 



0.785 



0.806 



0.926 



0.40 



0.577 



0.566 



0.667 



0.677 



0.892 



0.48 



0.694 



0.678 



0.518 



0.540 



0.852 



0.56 



0.805 



0.785 



0.352 



0.373 



0.804 



0.64 



0.902 



0.892 



0.186 



0.204 



0.752 



0.72 



0.972 



0.989 



0.055 



0.022 



0.696 



0.80 



1.061 



1.077 



-0.126 



-0 . 160 



0.636 



0.88 



1.160 



1.158 



-0.346 



-0.340 



0.572 



0.96 



1.233 



1.230 



-0 . 520 



-0.514 



0.508 



1.04 



1.307 



1.292 



-0 . 708 



-0 . 669 



0.436 



1.12 



1.349 



1.350 



-0 . 820 



-0.822 



0.376 



1.20 



1.391 



1.390 



-0.935 



-0.932 



0.284 



1.28 



1.436 



1.438 



-1.062 



-1.068 



0.204 



1.36 



1.452 



1.469 



-1.108 



-1.157 



0.128 



1.44 



1.481 



1.488 



-1.193 



-1.213 



0.048 



1.52 



1.504 



1.498 



-1.262 



-1.245 



0.008 



1.56 



1.504 



1.500 



-1.262 



-1.250 



