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Packet E: Bonus 17

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> | Packet E - Chicago A, Toronto B, Brandeis B, JHU A

HeardPPBE %M %H %
6814.8597%41%10%

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Conversion

TeamOpponentPart 1Part 2Part 3TotalParts
Murray State ATexas A&M A001010E
Texas ATexas B1001020ME

Summary

TournamentEditionMatchHeardPPBE %M %H %
California (North)Main Site✓320.00100%100%0%
California (South)Main Site✓417.50100%50%25%
CanadaMain Site✓110.00100%0%0%
FloridaMain Site✓210.00100%0%0%
Great LakesMain Site✓514.00100%40%0%
Lower Mid-AtlanticMain Site✓811.25100%13%0%
MidwestMain Site✓818.75100%63%25%
NortheastMain Site✓313.33100%33%0%
OverflowMain Site✓313.33100%33%0%
South CentralMain Site✓215.00100%50%0%
SoutheastMain Site✓616.67100%67%0%
UKMain Site✓1215.8383%50%25%
Upper Mid-AtlanticMain Site✓811.25100%13%0%
Upstate NYMain Site✓316.67100%33%33%