title: Swimming with stiff legs at low Reynolds number.
abstract: Locomotion at low Reynolds number is not possible with cycles of reciprocal motion, an example being the oscillation of a single pair of rigid paddles or legs. Here, I demonstrate the possibility of swimming with two or more pairs of legs. They are assumed to oscillate collectively in a metachronal wave pattern in a minimal model based on slender-body theory for Stokes flow. The model predicts locomotion in the direction of the traveling wave, as commonly observed along the body of free-swimming crustaceans. The displacement of the body and the swimming efficiency depend on the number of legs, the amplitude, and the phase of oscillations. This study shows that paddling legs with distinct orientations and phases offers a simple mechanism for driving flow.
authors.affiliation: Department of Mathematics, University of Hawaii at Manoa, Honolulu, Hawaii 96822, USA.
authors.forename: Daisuke
authors.initials: D
authors.lastname: Takagi
mesh_terms: D000818:Animals; D003445:Crustacea / Q000502:physiology; D005121:Extremities / Q000502:physiology*; D008954:Models, Biological; D010507:Periodicity; D013550:Swimming / Q000502:physiology*; D014783:Viscosity