Locomotion and generation of flow at low Reynolds number are subject to severe limitations due to the irrelevance of inertia: the “scallop theorem” requires that the system have at least two degrees of freedom, which move in non-reciprocal fashion, i.e. breaking time-reversal symmetry. We show here that a minimal model consisting of just two spheres driven by harmonic potentials is capable of generating flow. In this pump system the two degrees of freedom are the mean and relative positions of the two spheres. We have performed and compared analytical predictions, numerical simulation and experiments, showing that a time-reversible drive is sufficient to induce flow.

Minimal two-sphere model of the generation of fluid flow at low Reynolds numbers / M. Leoni, B.F. Bassetti, J. Kotar, P. Cicuta, M. Cosentino Lagomarsino. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 81:3(2010), pp. 036304.036304.1-036304.036304.4. [10.1103/PhysRevE.81.036304]

Minimal two-sphere model of the generation of fluid flow at low Reynolds numbers

B.F. Bassetti;M. Cosentino Lagomarsino
2010

Abstract

Locomotion and generation of flow at low Reynolds number are subject to severe limitations due to the irrelevance of inertia: the “scallop theorem” requires that the system have at least two degrees of freedom, which move in non-reciprocal fashion, i.e. breaking time-reversal symmetry. We show here that a minimal model consisting of just two spheres driven by harmonic potentials is capable of generating flow. In this pump system the two degrees of freedom are the mean and relative positions of the two spheres. We have performed and compared analytical predictions, numerical simulation and experiments, showing that a time-reversible drive is sufficient to induce flow.
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/157085
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