A reciprocal theorem for boundary-driven channel flows

@inproceedings{Michelin2015ART,
  title={A reciprocal theorem for boundary-driven channel flows},
  author={S{\'e}bastien Michelin and Eric Lauga},
  year={2015}
}
In a variety of physical situations, a bulk viscous flow is induced by a distribution of surface velocities, for example, in di↵usiophoresis (as a result of chemical gradients) and above carpets of cilia (as a result of biological activity). When such boundarydriven flows are used to pump fluids, the primary quantity of interest is the induced flow rate. In this letter, we propose a method, based on the reciprocal theorem of Stokes flows, to compute the net flow rate for arbitrary flow… CONTINUE READING

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