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Updated: May 14, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Radial viscous fingering in yield stress fluids: onset of pattern formation
João V Fontana1, Sérgio A Lira, José A Miranda
1Departamento de Física, Universidade Federal de Pernambuco, Recife, PE 50670-901, Brazil.
Abstract:
We report analytical results for the development of interfacial instabilities in a radial Hele-Shaw cell in which a yield stress fluid is pushed by a Newtonian fluid of negligible viscosity. By dealing with a gap averaging of the Navier-Stokes equation, we derive a Darcy-law-like equation for the problem, valid in the regime of high viscosity compared to yield stress effects. A mode-coupling approach is executed to examine the morphological features of the fluid-fluid interface at the onset of nonlinearity. Within this context, mechanisms for explaining the rising of tip-splitting and side-branching events are proposed.
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