The stream function for a flow field is given as: p= K (x y) + K ln(x + y) where K and K are constant. a) Find the stagnation point(s) coordinates in terms of K and K i.e. where u=0 and v=0. b) Is this flow incompressible? Why? c) Is this flow irrotational? Why? d) Derive the velocity potential function in polar coordinate system. e) Derive the velocity components in polar coordinate system. f) Derive the stream function in Cartesian and in polar coordinate systems. g) Sketch a few streamlines and a few velocity potential lines for K=K=1. Using the polar forms might be easier. Separate r and 0, vary from 0 to 27 with a small increment (0.01 rad) and calculate r.