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Unformatted text preview: Lecture F06 Mud: 1. Which came first, BiotSavart for E&M or for Fluids? (2 students) Not sure. BiotSavart was first used for Fluids in the mid 1800s by Helmholtz. 2. Is there some sort of Gausss Law for vortices to avoid doing the BiotSavart integral? (1 student) Nope. Gotta deal with it as is. 3. How is V = / 2 r for the straight 3D vortex in the first example? (1 student) Im not sure what you mean. Carrying out the BiotSavart integral on the straight 3D vortex produced V = / 2 h , where h was the perpendicular distance from the vortex. This is the same as the 2D result, except that r was replaced with h (following Andersons notation). 4. If the circulation is greatest at the tips, is the lift greatest at the tips also? (1 student) I think youre confusing the circulation with the wake vortex strength = d /dy . The circulation and hence L = V both go to zero at the tips. In contrast, is typically maximum near the tips....
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 Fall '05
 MarkDrela

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