scallop theorem - 2023 BHSU

Question

This theorem implies that bacterial flagella must act like corkscrews or flexible oars, not like stiff oars. For 10 points each:

[10h] Name this theorem, posed in Edward Purcell's paper Life at Low Reynolds Number, which states that, when viscous forces are dominant, a swimming organism cannot achieve net propulsion with a time-reversible swimming motion.

ANSWER: scallop theorem

[10m] This term describes fluid flow whose Reynolds number is much smaller than 1. A sphere moving through this kind of flow experiences a viscous force equal to 6 pi times radius times viscosity times velocity.

ANSWER: Stokes flow [or creeping flow] (The second sentence refers to Stokes's law.)

[10e] Purcell derives the scallop theorem by noting that, at low Reynolds number, the only non-zero terms in the Navier-Stokes equations are the Laplacian of fluid velocity, and the term for this quantity, whose SI unit equals one Newton per meter squared.

ANSWER: pressure

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Summary


2023 BHSU @ Maryland	03/11/2023	Y	1	10.00	100%	0%	0%
2023 BHSU @ Northwestern	02/25/2023	Y	6	13.33	83%	50%	0%
2023 BHSU @ Waterloo	04/15/2023	Y	3	6.67	67%	0%	0%
2023 ARCADIA at UC Berkeley	Premiere	N	2	15.00	100%	50%	0%
2023 ARCADIA at Carleton University	Premiere	N	3	16.67	100%	67%	0%
2023 ARCADIA at Claremont Colleges	Premiere	N	1	30.00	100%	100%	100%
2023 ARCADIA at Duke	Emory, Duke, Yale	N	4	12.50	100%	25%	0%
2023 ARCADIA at Duke	Emory, Duke, Yale	N	2	20.00	100%	100%	0%
2023 ARCADIA at Emory	Emory, Duke, Yale	N	4	10.00	100%	0%	0%
2023 ARCADIA at Emory	Emory, Duke, Yale	N	4	10.00	75%	25%	0%
2023 ARCADIA at Imperial	Imperial	N	5	14.00	100%	20%	20%
2023 ARCADIA at Indiana	Premiere	N	5	10.00	100%	0%	0%
2023 ARCADIA at Ohio State	Ohio State, Texas	N	3	10.00	100%	0%	0%
2023 ARCADIA at Ohio State	Ohio State, Texas	N	2	15.00	100%	50%	0%
2023 ARCADIA Online	Maryland, Online	N	3	10.00	100%	0%	0%
2023 ARCADIA Online	Maryland, Online	N	2	15.00	100%	50%	0%
2023 ARCADIA at RIT	Premiere	N	2	15.00	100%	0%	50%
2023 ARCADIA at Texas	Ohio State, Texas	N	3	10.00	100%	0%	0%
2023 ARCADIA at Texas	Ohio State, Texas	N	3	16.67	100%	33%	33%
2023 ARCADIA at WUSTL	Premiere	N	3	10.00	100%	0%	0%

Data


Maryland A	Rutgers Diaspora	0	10	10
Maryland B-	WUSTL	10	10	20
Maryland B-	WUSTL	10	10	20
Maryland B-	Amartya Senpai Notice Me	10	10	20
Maryland B-	Amartya Senpai Notice Me	10	10	20
Maryland B-	WUSTL	0	10	10
Maryland B-	WUSTL	0	10	10
Maryland B-	Amartya Senpai Notice Me	0	10	10
Maryland B-	Amartya Senpai Notice Me	0	10	10
Mojo Shojo	Chicago B+	10	10	20
Michigan	Epic Games	0	10	10
Chicago A	Northwestern	0	10	10
Team 2	Purdue	10	0	10
Parth et al.	Cameron et al.	0	0	0
Neg 5! Playing Quizbowl, Liddy Style	Milan et al.	0	10	10
The Passion According to C.H.	The Vulture's Guide to Buzz	0	10	10