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Comparing the mathematical models of Lighthill to the performance of a biomimetic fish

Robert L McMasters1, Casey P Grey1, John M Sollock1, Ranjan Mukherjee2, Andre Benard2 and Alejandro R Diaz2

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The mathematical models for the performance of aquatic animals developed by M Lighthill are compared with the experimental performance of a biomimetic fish. The equations developed by Lighthill are evaluated at steady-state conditions. Equilibrium velocity and mechanical efficiency are calculated using Lighthill's mathematical model and compared with experimental results. In both cases, a pattern is found wherein an optimum combination of tail frequency and amplitude maximizes equilibrium velocity. Differences between the theoretical and experimental results are attributed to mechanical limitations in the drive train.


PACS

87.10.-e General theory and mathematical aspects

87.19.rs Movement

Subjects

Medical physics

Biological physics

Dates

Issue 1 (March 2008)

Received 14 July 2007, accepted for publication 19 December 2007

Published 4 February 2008



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