Coalescence of Saffman-Taylor fingers: A new global instability
- 1 May 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 33 (5) , 3625-3627
- https://doi.org/10.1103/physreva.33.3625
Abstract
We study the stability of a parallel array of Saffman-Taylor fingers in the limit of infinite viscosity contrast. We discover a modulatory instability which prevents the system from remaining in steady-state motion. We discuss how this instability signals the beginning of the coalescence of the finger array to the final single-finger steady-state configuration. Finally, we speculate on the importance of this global instability for the understanding of patterns in diffusion-limited growth.Keywords
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