Concepedia

A Coordinate-Based Proof of the Scallop Theorem

Kenta Ishimoto, Michio Yamada

SIAM Journal on Applied Mathematics · 2012 · 51 citations · 13 references

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Concepts

Abstract

We reconsider fluid dynamics for a self-propulsive swimmer in Stokes flow. With an exact definition of deformation of a swimmer, a coordinate-based proof is first given to Purcell's scallop theorem including the body rotation.

References

13

Life at low Reynolds number

Edward M. Purcell · American Journal of Physics · 1977 · 4.3K citations

, , +9

The hydrodynamics of swimming microorganisms

Eric Lauga, Thomas Powers · Reports on Progress in Physics · 2009 · 2.5K citations · Full text

, , +17

Analysis of the swimming of microscopic organisms

Geoffrey Ingram Taylor · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1951 · 1.1K citations

, , +14

Flagellar Hydrodynamics

James Lighthill · SIAM Review · 1976 · 738 citations

, , +17

Propulsion of Microorganisms by Surface Distortions

Howard A. Stone, Aravinthan D. T. Samuel · Physical Review Letters · 1996 · 458 citations

, , +15