HIGHLIGHTS
- What: The literature on Hele-Shaw flows and viscous fingering problems is extensive; here, the authors provide a review of selected papers, primarily focused on wedge configurations or closed bubbles in channels. Because the approach combines a hybrid asymptotic-numerical insight, it is likely that the methods can be extended to much more general flow configurations. In Appendix A, the authors demonstrate how the original equations of potential flow for a Hele-Shaw cell, with boundary conditions on the channel walls and free boundary, and an injection condition can be reposed in the self-similar framework. In . . .

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