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Physical Review E
We have examined fractal patterns formed by the injection of air into oil in a thin (0.127 mm) layer contained between two cylindrical glass plates of 288 mm diameter (a Hele-Shaw cell), for pressure differences in the range 0.25 ≤ ∆P ≤ 1.75 atm. We find that an asymptotic structure is reached at large values of the ratio of the pattern radius to the instability length scale, r/λc = πb σ µV , where b is the gap between the plates, σ is the surface tension, µ the viscosity, and V the tipdoi:10.1103/physreve.72.011406 pmid:16089960 fatcat:fvj3ivecovbexfsiksjkqevqam