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. 2015 Aug 6;12(109):20150227. doi: 10.1098/rsif.2015.0227

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© 2015 The Author(s)

Published by the Royal Society. All rights reserved.

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Figure 3. — (a) The instantaneous shape of a model, undulatory swimmer next to a non-slip surface. (b) The calculated (hollow circles) and correlated (solid line) normalized, time-averaged swimmer's angular velocity as a function of the distance from the surface . (c–f) Symmetry arguments determine that the swimmer's centre of mass does not have a velocity component normal to the surface. (g–h) Symmetry arguments demonstrate that, in the absence of a surface, there is no time-averaged rotation. (i–j) Resistive force theory arguments demonstrate that, in the absence of a surface, there is no time-averaged rotation. (k–l) Resistive force theory provides a mechanism to rotate the swimmer towards the surface when the swimmer is close to the surface. (Online version in colour.)

Inline graphic — (a) The instantaneous shape of a model, undulatory swimmer next to a non-slip surface. (b) The calculated (hollow circles) and correlated (solid line) normalized, time-averaged swimmer's angular velocity as a function of the distance from the surface . (c–f) Symmetry arguments determine that the swimmer's centre of mass does not have a velocity component normal to the surface. (g–h) Symmetry arguments demonstrate that, in the absence of a surface, there is no time-averaged rotation. (i–j) Resistive force theory arguments demonstrate that, in the absence of a surface, there is no time-averaged rotation. (k–l) Resistive force theory provides a mechanism to rotate the swimmer towards the surface when the swimmer is close to the surface. (Online version in colour.)