Pattern formation of the three-layer Saffman-Taylor problem in a radial Hele-Shaw cell
نویسندگان
چکیده
منابع مشابه
Weakly nonlinear investigation of the Saffman-Taylor problem in a rectangular Hele-Shaw cell
We analyze the Saffman-Taylor viscous fingering problem in rectangular geometry. We investigate the onset of nonlinear effects and the basic symmetries of the mode coupling equations, highlighting the link between interface asymmetry and viscosity contrast. Symmetry breaking occurs through enhanced growth of sub-harmonic perturbations. Our results explain the absence of finger tip-splitting in ...
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In a recently published article of Daripa & Pasa [Transp. Porous Med. (2007) 70:11-23], stabilizing effect of diffusion in three-layer Hele-Shaw flows was proved using an exact analysis of normal modes. In particular, this was established from an upper bound on the growth rate of instabilities which was derived from analyzing stability equations. However, the method used there is not constructi...
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ژورنال
عنوان ژورنال: Physical Review Fluids
سال: 2020
ISSN: 2469-990X
DOI: 10.1103/physrevfluids.5.124005