Saffman-Taylor Instability ·
Viscous Fingering
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.com · Hele-Shaw cell · Darcy's law · finger width λ → ½
Width ratio λ
—
Max growth σ*
0
phase
—
Low-viscosity fluid μ₁ (injected)
High-viscosity fluid μ₂ (displaced)
Interface / selected finger
Curvature (surface tension γ)
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.com · Saffman-Taylor Instability
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.com · The Saffman-Taylor Instability: Why Fingers Have a Selected Width