(Solved): When a uniform stream of air at 20C flows past an immersed thick cylinder, a broad low-velocity w ...

When a uniform stream of air at 20?C flows past an immersed thick cylinder, a broad low-velocity wake is created downstream, idealized as a V shape as shown. Pressures on both sides of the cylinder (p1 and p2) are approximately equal. Also, U0 = 10 m/s and L = 0.2 m.

(a) Sketch an appropriate control volume, with appropriate labels and coordinate systems, and identify all forces acting on the fluid bound by the control volume.

(b) List all of your assumptions that will be needed to develop solutions to this problem. Give your reasoning or justification for each assumption.

(c) From the conservation of mass for the control volume, determine the mass flow rate through the wind tunnel, per unit span into the page, and give the appropriate units.

(d) By considering the conservation of momentum for the control volume, find the drag force acting on the cylinder and give the appropriate units.)

(e) In which direction does the drag force from part (d) act?