Abstract
We develop an analytical method to extend the two-parameter family of analytical solutions in channel geometry to sector geometry with arbitrary opening angle at zero surface tension. We then show how to apply the WKB method to select the limiting finger width at very small surface tension. The result agrees very well with experiment. We also discuss stability of the pattern based on the special structure of these selected solutions.
- Received 2 January 1991
DOI:https://doi.org/10.1103/PhysRevA.44.1203
©1991 American Physical Society