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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
Liberty AJames Madison A001010E
NC State BLiberty C001010E
North Carolina ASouth Carolina B001010E
North Carolina BSouth Carolina A1001020ME
VCUDuke001010E
VirginiaWake Forest001010E
Virginia Tech ANC State A001010E
William and MaryJames Madison B001010E

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%