[10 points] Typically inviscid flow solutions for flow around bodies indicate that the fluid flows smoothly around the body, even for blunt bodies like a cylinder. However, experience reveals that due to the presence of viscosity, the main flow may actually separate from the body creating a wake behind the body. As was discussed in AAE 333, whether or not separation takes place depends on the pressure gradient along the surface of the body, as calculated by inviscid flow theory. For a circular cylinder rotating with a circulation of placed in a uniform stream with velocity, , determine a. [5 pts] an expression for the pressure 1 and 2 where s is arclength in terms of the free stream velocity, , the density, , and the angle , the circulation , the location of the stagnation points, , and the cylinder radius, a, (Recall = on the surface of the cylinder) and b. [5 pts] the range of values for the angle where an adverse pressure gradient occurs. That is where 1 > 0 2 > 0. Assume