potentials - Upstate NY - Buzzpoints App

Question

An irrotational fluid can be equivalently expressed as a fluid characterized by one of these functions defined from the velocity field. For 10 points each:

[10m] Name these scalar functions. Generically, they are defined from a vector field such that their negative gradient equals the vector field.

ANSWER: potentials [accept scalar potentials or velocity potential; reject “vector potential”; reject “potential energy”]

[10h] A fluid’s velocity potential and stream function together satisfies these equations. A handy mathematical trick in physics relies on the fact that the pairs of functions that satisfy these equations also individually satisfy Laplace’s equation.

ANSWER: Cauchy–Riemann equations [prompt on CR equations]

[10e] The Joukowsky transform is a conformal map from the unit circle into the cross-section of an idealized one of these structures. The motion of these structures through air generates lift.

ANSWER: wings [or airfoils or aerofoils]

<GC, Physics>

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California (North)	Main Site	Y	3	20.00	100%	100%	0%
California (South)	Main Site	Y	4	17.50	100%	50%	25%
Canada	Main Site	Y	1	10.00	100%	0%	0%
Florida	Main Site	Y	2	10.00	100%	0%	0%
Great Lakes	Main Site	Y	5	14.00	100%	40%	0%
Lower Mid-Atlantic	Main Site	Y	8	11.25	100%	13%	0%
Midwest	Main Site	Y	8	18.75	100%	63%	25%
Northeast	Main Site	Y	3	13.33	100%	33%	0%
Overflow	Main Site	Y	3	13.33	100%	33%	0%
South Central	Main Site	Y	2	15.00	100%	50%	0%
Southeast	Main Site	Y	6	16.67	100%	67%	0%
UK	Main Site	Y	12	15.83	83%	50%	25%
Upper Mid-Atlantic	Main Site	Y	8	11.25	100%	13%	0%
Upstate NY	Main Site	Y	3	16.67	100%	33%	33%

Data


Cornell B	Binghamton B	0	0	10	10
Cornell C	Penn State	0	0	10	10
RIT	Cornell A	10	10	10	30