Please help.
2. An inviscid fluid approaches a rotating cylinder with velocity U and circulation then flows around the cylinder of unit length into the page. The center of the cylinder is at the origin. This flow can be described by the combination of a uniform flow, a doublet, and a vortex, where the stream function is.
Rewrite the stream function in terms of the parameters U0, a, where K, U, and a is the radius of the cylinder (1 point).
b. Write the velocity field ur and ua (1 point). If = 0, where are the stagnation points, if any? 1 point.
T .. 11 <1, where are the stagnation points, if any 1 point.
4nUo If T -=1, where are the stagnation points, if any 1 point.
4nU0 1. >1, where are the stagnation points, if any 1 point.
4nUg Use Bernoulli's equation to write the pressure on the cylinder (1 point).
h. Calculate the drag and lift force on the cylinder using the velocity and pressure far from the cylinder of Ug and Po. Show all steps and simplify. Hint: Use F=pfidA where n= cos+sin is the outward normal. Hint: Definition of odd function f-x=-fx). and even function f(x=f(-x); integral of odd function from -Tr to is zero by symmetry product of even.
