Packet 8: Bonus 14

This quantity decreases sharply from above one to below one in a hydraulic jump, corresponding to a transition from supercritical to subcritical flow. For 10 points each:
[10h] Name this dimensionless number defined as flow velocity over the square root of little g times water depth. This quantity is analogous to the Mach number for open-channel regimes.
ANSWER: Froude number [or Fr]
[10e] Hydraulic jumps are analogous to the “normal” type of these waves for supersonic to subsonic flow. These waves are caused by propagations faster than the speed of sound and cause sonic booms.
ANSWER: shocks [or shockwaves; accept normal shocks]
[10m] For hydraulic jumps, this quantity’s namesake loss is only positive for supercritical upstream flows. This quantity’s loss per unit length is hydraulic slope, which is calculated by the Darcy–Weisbach equation.
ANSWER: hydraulic head [or piezometric head; accept head loss; prompt on normalized pressure]
<Editors, Physics> | Q. Playoffs 8 (Editors 8)

HeardPPBE %M %H %
2411.6771%42%4%

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TeamOpponentPart 1Part 2Part 3TotalParts
BrownUCF010010E
BruinGeorgia Tech A0000
Columbia BMichigan0000
GeorgetownChicago B0000
HarvardToronto A0101020EM
Illinois ABritish Columbia010010E
Illinois BWaterloo0000
IndianaNorthwestern A10101030HEM
Johns HopkinsRutgers0101020EM
MITGeorgia Tech C010010E
Maryland BSwarthmore010010E
MinnesotaTexas010010E
NYU AColumbia A0101020EM
North CarolinaCornell0101020EM
Ohio StateGeorgia Tech B010010E
Penn StateStanford B0101020EM
PittsburghCambridge0000
PurdueNorthwestern B010010E
Stanford AChicago A0101020EM
Toronto BWashU001010M
UC Berkeley AMaryland A0101020EM
UC Berkeley BVirginia Tech010010E
UCLAVanderbilt0101020EM
VirginiaNYU B0000

Summary

TournamentEditionMatchHeardPPBE %M %H %
Main Site2026-04-17✓2411.6771%42%4%