A stream function is given by: [psi=sin left(frac{x}{L} ight) sinh left(frac{y}{K} ight)] where (L) and (K) are

A stream function is given by:

\[\psi=\sin \left(\frac{x}{L}\right) \sinh \left(\frac{y}{K}\right)\]

where \(L\) and \(K\) are constants, \(0 \leq x \leq \pi L\) and \(y \geq 0\).

a. Does \(\psi\) represent a potential flow? Is the flow incompressible too?

b. If \(L=K=1\), locate any possible stagnation points.