In 2D, planar, steady, potential flow of an incompressible fluid, a circular cylinder of radius R centered at the origin rotates steadily in the

In 2D, planar, steady, potential flow of an incompressible fluid, a circular cylinder of radius R

centered at the origin rotates steadily in the clockwise direction at n number of revolutions per

minute. A uniform horizontal stream of speed U moves from left-to-right past this rotating

cylinder. HINT: Circulation is calculated as which needs to be converted to

surface integral.

a) Derive an equation for calculating the resultant force on the rotating cylinder (per its unit

length) and explain how will you get each term in this equation. Be careful with units.

b) Determine the direction of this force (to north, to south, to east, or to west).