(Book 18.7)
Add circulation to the flow past a cylinder to simulate cylinder rotation:
Exercise:
Show that this is still a flow past a cylinder.
Exercise:
Find the forces on the circular cylinder with transverse flow and circulation by integrating the wall pressure according to
Exercise:
From the above, are the net forces on a steadily translating cylinder in an irrotational incompressible fluid still zero? How much work does the cylinder do on the fluid? Discuss the flow from an mechanical energy point of view.