Pattern selection in an anisotropic Hele-Shaw cell

The selection of steady-state viscous fingers has been measured in Hele-Shaw cells that are perturbed by having rectangular and square lattices etched on one of their plates. The strength of the perturbation was varied by varying the cell gap, and over a wide range of observable tip velocities this local perturbation was also made microscopic in the sense that the capillary length of the flow was large in comparison to the cell size of the underlying lattice. Above threshold the microscopic perturbation results in the selection of wider fingers than those selected in the unperturbed flow for all channel orientations in the experiment. All observed solutions are symmetric, centered in the channel, and have the relation between tip curvature and finger width expected of members of the Saffman-Taylor family of solutions. Selected solutions narrow again at tip velocities where the perturbations can no longer be considered microscopic.