(Solved): 4. Consider a superimposed flow of uniform flow and doublet producing flow over a cylinder as below ...

4. Consider a superimposed flow of uniform flow and doublet producing flow over a cylinder as below, V. D Stream functions for the uniform flow and doublet flow are W. and Ws, respectively. Vu = Vorsin(e) K sine ?? 211 r Calculate (a) Stream function of the superimposed flow (b) Velocity of the superimposed flow in a polar coordinate system (c) Velocity potential of the superimposed flow (d) Velocity at the surface of the object (when r = R) (e) Pressure coefficient, Cp, around the surface of the object as a function of e (4) Draw Cp variation curve on 2D plane with respect to e (g) Maximum Cp location and the value of Cp at the location (h) Minimum Cp location and the value of Cp at the location (i) The locations on the surface of the cylinder where the surface pressure equals the free stream pressure