Consider the nonlifting flow over a circular cylinder of a given radius, where V_{\infty} = 20\; ft/s. If V_{\infty} is doubled, that is, V_{\infty} = 40 ft/s, does the shape of the streamlines change? Explain.
Consider the nonlifting flow over a circular cylinder of a given radius, where V_{\infty} = 20 ft/s. If V_{\infty} is doubled, that is, V_{\infty} = 40 ft/s, does the shape of the streamlines change? Explain.
\frac{V_{r}}{V_{\infty}}=\left ( 1-\frac{R^{2}}{r^{2}} \right )cos\theta
\frac{V_{\theta}}{V_{\infty}}=-\left ( 1+\frac{R^{2}}{r^{2}} \right )sin\theta
At \left ( r,\theta \right ) ,V_{r} and V_{\infty} is proportional to V_{\infty}. Therefore \overrightarrow{V} is same what V_{\infty} may be. The shape of the streamlines will remain same it will not change.
