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Jul 2007

Volume 19, Issue 7, Articles (07xxxx)

Phys. Fluids 19, 076601 (2007); http://dx.doi.org/10.1063/1.2742728 (6 pages)

Chia-Shun Yih

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Comment on “The swimming of animalcules” [ Phys. Fluids 18, 063101 (2006)]

Gary Friedman

Phys. Fluids 19, 079101 (2007); http://dx.doi.org/10.1063/1.2749542 (2 pages) | Cited 4 times

Online Publication Date: 16 July 2007

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87.17.Jj	Cell locomotion, chemotaxis
87.10.-e	General theory and mathematical aspects

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Response to “Comment on ‘The swimming of animalcules'” [ Phys. Fluids 19, 079101 (2007)]

B. U. Felderhof

Phys. Fluids 19, 079102 (2007); http://dx.doi.org/10.1063/1.2749543 (2 pages) | Cited 3 times

Online Publication Date: 16 July 2007

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The proof of the statement that a two-bead structure with constant mobilities cannot swim is incorrect. A general expression for the swimming velocity of a two-bead structure with given periodic relative motion is derived in the form of a line integral. The net torque exerted on the fluid is also expressed as a line integral. It is shown that in the example given by Friedman a net torque is exerted on the fluid. Therefore it is not acceptable as a swimming motion. A more complicated periodic relative motion is constructed for which the net torque vanishes, but which leads to a nonvanishing swimming velocity. A dynamical formulation appears to restrict the possibility of swimming.

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