Swimming, Pumping and Gliding at low Reynolds numbers
J. E. Avron, O. Raz
Abstract
Simple, linear equations relate microscopic swimmers to the corresponding gliders and pumps. They have the following set of consequences: The swimming velocity of free swimmers can be inferred from the force on the tethered swimmer and vice versa; A tethered swimmer dissipates more energy than a free swimmer; It is possible to swim with arbitrarily high efficiency, but it is impossible to pump with arbitrarily high efficiency and finally that pumping is geometric. We also solve several optimization problems associated with swimming and pumping: The problem of optimal anchoring for a certain class of swimmers that includes the Purcell swimmer and the three linked spheres and the optimal geometries of helices considered as swimmers and pumps.
Create a lesson
Related papers
Some generalizations of the tornado model
S. N. Artekha
Preferential concentration of cloud droplets: Coupled effects of phase change and gravitational settling
Zi-Mo Liao
Partially-Averaged Navier-Stokes simulation of turbulent annular Poiseulle flow
Li-Toong Yap, Marten Klein, Heiko Schmidt
One-way pressure-independent valves with hysteresis and chattering
Fabio Bagagiolo, Andrea Corli, Stefan Moreti et al.
High-fidelity Three-Dimensional Flow Field Reconstruction Driven by Turbulent Fluid Dynamics
Hanlin Kong, Jianan Wei, Yuntian Chen et al.
Gas radiation and the gravity limit of flicker in a co-flowing hydrogen jet diffusion flame
Tianfang Xie, Meng Wang