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Circulation

(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.

You should now be able to do The exercises above.


Next: Forces Up: Potential Flows Previous: Cylinder