(Solved): a) Develop complex potential for free stream horizontal flow (free stream velocity \( =U_{\infty} ...

a) Develop complex potential for free stream horizontal flow (free stream velocity \( =U_{\infty} \) ) past a circular cylinder of radius \( a \) mounted closed to a wall, as shown in Figure 3. You may use complex potentials for elementary potential flows given in the table in the Appendix. Hint: Using method of images, the effect of the wall can be accounted for by placing identical potential entities below the wall, i.e, assuming wall as a mirror. [3 marks] b) Using answer in (a), find the magnitude and direction of velocities of the points at A, B, C and D. [7 marks]