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Unformatted text preview: Lecture F18 Mud: Vortex, Lift (38 respondents) 1. Whats the difference between r and R ? (1 student) r is a general radius, as in r- polar coordinates. R is the specific cylinders radius. V 2. How can we define C as / 2 ? (1 student) For a vortex defined by V = C/r , we calculate its circulation to be = 2 C . So C and are effectively equivalent, since they differ only by the constant factor of 2 . We can use them interchangeably. Since is more aerodynamically significant (directly related to vorticity, lift, etc.), we choose to use instead of C to define the vortex: = / (2 r ). 3. I dont understand . (1 student) I dont know how to explain it better without just repeating the lecture material. Maybe try reading Anderson 2.13 again? One suggestion is to clearly distinguish the definition from the implications. Two equivalent definitions are n dA V ds or Some implications are: = for any circuit in irrotational ow not enclosing a body.body....
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- Fall '05