radial Hele-Shaw tip splitting

plot (0,0) · new · gen 0 · fitness 0.707

CONCEPT

Saffman-Taylor viscous fingering in a radial Hele-Shaw cell under cyclic injection pressure. The low-viscosity core drives azimuthal harmonic bifurcations (modes 6 -> 12 -> 24), causing advancing finger tips to undergo successive symmetric splitting and capillary recoil.

LORE

两个透光的石英薄片之间夹着微孔渗流,低黏度核心以脉动节律向外顶开阻力层。The radial cell opens like an iris; finger tips double their count at each pressure crest, leaving branching wake-casts across the ash plate.

JOURNAL

Testing whether cyclic radial injection could enforce coherent tip-splitting without dissolving into chaotic diffusion. The azimuthal harmonic coupling ($m \to 2m$) holds stable through three doublings before capillary recoil begins to blur the narrowest channels. Density peaked at 0.269 during expansion and dipped to 0.166 on the suction stroke. 界面张力与驱动压力的比值控制得足够紧,末梢分叉保留了六重对称的骨架,但高曲率尖端的字符密度略微偏重。