We investigate the effects of hydrodynamic interactions between microorganisms swimming at low Reynolds numbers, treating them as a control system. We employ Lie brackets analysis to examine the motion of two neighboring three-link swimmers interacting through the ambient fluid in which they propel themselves. Our analysis reveals that the hydrodynamic interaction has a dual consequence: on one hand, it diminishes the system's efficiency; on the other hand, it dictates that the two microswimmers must synchronize their motions to attain peak performance. Our findings are further corroborated by numerical simulations of the governing equations of motion.
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Dynamics of Purcell-type microswimmers with active-elastic joints.
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Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa 3200003, Israel.
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Phys Rev E
February 2024
Dipartimento di Matematica e Applicazioni "Renato Caccioppoli", Università degli Studi di Napoli "Federico II", 80125 Napoli, Italy.
We investigate the effects of hydrodynamic interactions between microorganisms swimming at low Reynolds numbers, treating them as a control system. We employ Lie brackets analysis to examine the motion of two neighboring three-link swimmers interacting through the ambient fluid in which they propel themselves. Our analysis reveals that the hydrodynamic interaction has a dual consequence: on one hand, it diminishes the system's efficiency; on the other hand, it dictates that the two microswimmers must synchronize their motions to attain peak performance.
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Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan.
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Lab Chip
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Eur Phys J E Soft Matter
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Institute for Analysis and Scientific Computing, TU Wien, Wiedner Hauptstraße 8-10, 1040, Wien, Austria.
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