Abstract
A fingering pattern forms at the interface between air and a thin layer of oil, confined between two diverging cylindrical surfaces, when one of the cylinders rotates about its axis. We present results of measurements on this pattern near its onset, and show that the onset values of both the control parameter (the cylinder rotation speed) and the pattern wavelength are strongly influenced by effects due to the finite length of the experimental system. In a short system, the onset of the fingering instability occurs at substantially higher values of the rotation speed than predicted by calculations performed for the infinitely long system.
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