Minimum Dissipation Theorem for Microswimmers.
Physical review letters 126:3 (2021) 034503
Abstract:
We derive a theorem for the lower bound on the energy dissipation rate by a rigid surface-driven active microswimmer of arbitrary shape in a fluid at a low Reynolds number. We show that, for any swimmer, the minimum dissipation at a given velocity can be expressed in terms of the resistance tensors of two passive bodies of the same shape with a no-slip and perfect-slip boundary. To achieve the absolute minimum dissipation, the optimal swimmer needs a surface velocity profile that corresponds to the flow around the perfect-slip body, and a propulsive force density that corresponds to the no-slip body. Using this theorem, we propose an alternative definition of the energetic efficiency of microswimmers that, unlike the commonly used Lighthill efficiency, can never exceed unity. We validate the theory by calculating the efficiency limits of spheroidal swimmers.A competitive advantage through fast dead matter elimination in confined cellular aggregates
(2021)
Ciliary chemosensitivity is enhanced by cilium geometry and motility
(2021)
Sustained Enzymatic Activity and Flow in Crowded Protein Droplets
(2021)
Exact axisymmetric interaction of phoretically active Janus particles
Journal of Fluid Mechanics Cambridge University Press (CUP) 905 (2020) a13