A circular cylinder of radius 0.2 m is placed perpendicular to a non-viscous, irrotational stream flowing at 40 m/s. Assuming that the flow is two-dimensional, calculate the cylinder circulation needed to depress the leading stagnation point to a 315° polar angle. Then determine:
(i) The surface velocity at θ = 45°.
(ii) The minimum surface pressure coefficient.
(iii) The lift coefficient per unit length (based on the cylinder diameter).
(iv) The lift coefficient per unit length corresponding to the changed circulation producing a single stagnation point on the cylinder surface.
