Abstract
We investigate the effects of anisotropic interfacial tension on the steady state pattern selection in the Saffman‐Taylor problem. Using solvability theory, formulae describing the steady state patterns are derived in closed form, and new states that are found are compared with the isotropic case. Further, dynamical simulation of the moving boundary suggests that the anisotropy is irrelevant for small driving velocities. For sufficiently large driving velocities a new steady‐state width is selected when the anisotropy makes the local interfacial tension a maximum at the finger tip.
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