A leaky-dielectric fluid pump

Abstract

This paper theoretically introduces a new architecture for pumping leaky-dielectric fluids. For two such fluids layered in a channel, the mechanism utilizes Maxwell stresses on fluid interfaces (referred to as menisci) induced by a periodic array of electrode pairs inserted between the two fluids and separated by the menisci. The electrode pairs are asymmetrically spaced and held at different potentials, generating an electric field with variation along the menisci. To induce surface charge accumulation, an electric field (and thus current flow) is also imposed in the direction normal to the menisci, using flat upper and lower electrodes, one in each fluid. The existence of both a normal and tangential electric field gives rise to Maxwell stresses on each meniscus, driving the flow in opposite directions on adjacent menisci. If the two menisci are the same length, a vortex array is generated that results in no net flow; however, if the spacing is asymmetric then the longer meniscus dominates, causing a net pumping in one direction. The pumping direction can be controlled by the (four)potentials of the electrodes, and the electrical properties of the two fluids. In the analysis, an asymptotic approximation is made that the interfacial electrode period is small compared to the fluid layer thicknesses, which reduces the analytical difficulty to an inner region close to the menisci. Closed-form solutions are presented for the potentials, velocity field, and resulting pumping speed, of which maximum values are estimated, with reference to the electrical power required and feasibility.

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Identifiers

ORCID for Toby L. Kirk: orcid.org/0000-0002-6700-0852

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