Continuous breakdown of Purcell's scallop theorem with inertia

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dc.creatorLauga, Eric
dc.date2007-06-25
dc.date.accessioned2026-07-07T10:06:29Z
dc.date.available2026-07-07T10:06:29Z
dc.descriptionPurcell's scallop theorem defines the type of motions of a solid body - reciprocal motions - which cannot propel the body in a viscous fluid with zero Reynolds number. For example, the flapping of a wing is reciprocal and, as was recently shown, can lead to directed motion only if its frequency Reynolds number, Re_f, is above a critical value of order one. Using elementary examples, we show the existence of oscillatory reciprocal motions which are effective for all arbitrarily small values of the frequency Reynolds number and induce net velocities scaling as (Re_f)^α(alpha > 0). This demonstrates a continuous breakdown of the scallop theorem with inertia.
dc.description6 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0706.3652
dc.identifierhttp://arxiv.org/abs/0706.3652
dc.identifierPhys. Fluids 19, 061703, 2007
dc.identifierdoi:10.1063/1.2738609
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170344
dc.subjectSoft Condensed Matter
dc.subjectBiological Physics
dc.subjectFluid Dynamics
dc.titleContinuous breakdown of Purcell's scallop theorem with inertia
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