1930
DOI: 10.1007/bf00338171
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Zur Theorie der Flimmerbewegung (Dynamik, Nutzeffekt, Energiebilanz)

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Cited by 49 publications
(23 citation statements)
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“…Thus, the flows induced by a swimming creature's motions start and stop immediately when the creature's movements start and stop. This phenomenon is closely related to the "scallop theorem," of Purcell [2], which states that time reversible strokes in a Newtonian fluid, such as water, cannot produce net swimming [1], because there is an equal and opposite net translation for corresponding forward and backward stroke motions. As a result, swimming microorganisms use strokes with a clear time direction, such as the traveling wave patterns on the flexible flagella of mammalian sperm, or the rigid-body rotation of the helical flagellar filaments of Escherichia coli.…”
Section: Introductionmentioning
confidence: 96%
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“…Thus, the flows induced by a swimming creature's motions start and stop immediately when the creature's movements start and stop. This phenomenon is closely related to the "scallop theorem," of Purcell [2], which states that time reversible strokes in a Newtonian fluid, such as water, cannot produce net swimming [1], because there is an equal and opposite net translation for corresponding forward and backward stroke motions. As a result, swimming microorganisms use strokes with a clear time direction, such as the traveling wave patterns on the flexible flagella of mammalian sperm, or the rigid-body rotation of the helical flagellar filaments of Escherichia coli.…”
Section: Introductionmentioning
confidence: 96%
“…Bacteria and other microscopic swimmers live in a world of low Reynolds number, in which viscous effects dominate over inertia [1,2]. In this regime, the drag forces acting on a swimmer are much greater than the forces necessary to achieve the observed accelerations of these swimmers.…”
Section: Introductionmentioning
confidence: 99%
“…To compare the efficiencies of different swimmers we introduce the notion of "swimming drag coefficient" which allows for the ranking of swimmers. We find the optimal swimmer within a certain class of two dimensional swimmers using conformal mappings techniques.Motivation: Swimming at low Reynolds numbers is the theory of the locomotion of small microscopic organisms [1,2,3,4,5,6,7,8,9]. It is also relevant to the locomotion of small robots [10].…”
mentioning
confidence: 99%
“…Motivation: Swimming at low Reynolds numbers is the theory of the locomotion of small microscopic organisms [1,2,3,4,5,6,7,8,9]. It is also relevant to the locomotion of small robots [10].…”
mentioning
confidence: 99%
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