The velocity potential for a cylinder (Fig. P6.63) rotating in a uniform stream of fluid is

\[ \phi=U r\left(1+\frac{a^{2}}{r^{2}}\right) \cos \theta+\frac{\Gamma}{2 \pi} \theta \]

where \(\Gamma\) is the circulation. For what value of the circulation will the stagnation point be located at:

(a) point \(A\);

(b) point \(B\) ?

Figure P6.63

Transcribed Image Text:

B A x