Abstract

An active inline mixer, called Rotating Arc-Wall mixer (RAW), suitable for flows at low Reynolds number and high P\'eclet number, is studied. The forcing protocol, imposed by three rotating circular arc-walls, is time periodic. We use simple phenomenological arguments to estimate heuristically the mixing efficiency with two nondimensional control parameters: the frequency of the forcing protocol, and the strength of the cross flow relative to the primary flow. The validity and limitations of the proposed mixing conditions are explained by the transport mechanisms in the mixer, and the beneficial role of chaotic advection for mixing is highlighted.

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