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A reciprocal theorem for boundary-driven channel flows
3.R. E. Goldstein, I. Tuval, and J.-W. van de Meent, “Microfluidics of cytoplasmic streaming and its implications for intracellular transport,” Proc. Natl. Acad. Sci. U. S. A. 105, 3663–3667 (2008).
8.B. J. Kirby, Micro- and Nanoscale Fluid Mechanics: Transport in Microfluidic Devices (Cambridge University Press, Cambridge, UK, 2009).
10.S. Gueron and K. Levit-Gurevich, “Energetic considerations of ciliary beating and the advantage of metachronal coordination,” Proc. Natl. Acad. Sci. U. S. A. 96, 12240–12245 (1999).
16.W. B. Russel, D. A. Saville, and W. R. Schowalter, Colloidal Dispersions (Cambridge University Press, Cambridge, UK, 1989).
17.S. Michelin, T. D. Montenegro-Johnson, G. De Canio, N. Lobato-Dauzier, and E. Lauga, “Geometric pumping in autophoretic channels,” Soft Matter 11, 5804–5811 (2015).
18.J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Prentice Hall, Englewood Cliffs, NJ, 1965).
19.S. Kim and S. J. Karrila, Microhydrodynamics (Dover Publications, Inc., New York, 2005).
20.L. G. Leal, Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes (Cambridge University Press, New York, 2007).
22.W. F. Paxton, K. C. Kistler, C. C. Olmeda, A. Sen, S. K. St. Angelo, Y. Cao, T. E. Mallouk, P. E. Lammert, and V. H. Crespi, “Catalytic nanomotors: Autonomous movement of striped nanorods,” J. Am. Chem. Soc. 126, 13424–13431 (2004).
23.J. R. Howse, R. A. L. Jones, A. J. Ryan, T. Gough, R. Vafabakhsh, and R. Golestanian, “Self-motile colloidal particles: From directed propulsion to random walk,” Phys. Rev. Lett. 99, 048102 (2007).
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In a variety of physical situations, a bulk viscous
flow is induced by a distribution of surface velocities, for example, in diffusiophoresis (as a result of chemical gradients) and above carpets of cilia (as a result of biological activity). When such boundary-driven 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 distribution and periodic pump geometry using solely stress information from a dual Poiseuille-like problem. After deriving the general result, we apply it to straight channels of triangular, elliptic, and rectangular geometries and quantify the relationship between bulk motion and surface forcing.
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