The streamlines for an incompressible, inviscid, two-dimensional flow field are all concentric circles, and the velocity varies directly with the distance from the common center of the streamlines; that is

\[ v_{\theta}=K r \]

where \(K\) is a constant.

(a) For this rotational flow, determine, if possible, the stream function.

(b) Can the pressure difference between the origin and any other point be determined from the Bernoulli equation? Explain.