Abstract
We derive the governing equation of flow for a three-dimensional fluid with a parity-broken viscosity tensor when confined to a Hele-Shaw cell. When such a fluid is pushed through a channel, a transverse force is exerted on the walls, and when a bubble of air expands into a region of such fluid, a circulation develops in the far field. The Saffman-Taylor stability condition is also modified, with these terms tending to stabilize the two fluid interface. Such experiments can in principle facilitate the measurement of parity odd coefficients in both synthetic and natural active matter systems.
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