A closed-form solution for streaming and Lagrangian transport in a deforming circular cavity

Streaming from a deforming cavity wall serves micromixing, pumping and particle handling. We solve it in closed form in a two-dimensional circular cavity, for any azimuthal wall mode $m$, in the viscous-dominated limit $\mathrm{Wo}^2 \to 0$, where the Stokes layer spans the cavity. A biharmonic inve