Fractal viscous fingering: Experiments and models

Johann Nittmann

Physica A: Statistical Mechanics and its Applications, 1986, vol. 140, issue 1, 124-133

Abstract: Highly ramified fingering structures occur when water is forced under pressure to displace a high viscosity shear-thinning fluid in a Hele Shaw cell. We found that water fingers grow by splitting of the leading finger tips giving rise to arborescent structures which obey fractal scaling. Their Hausdorff dimension df is 1.70 for a wide range of experimental conditions. We show that diffusion limited growth models can accurately simulate the growth of these fractal patterns.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:140:y:1986:i:1:p:124-133

DOI: 10.1016/0378-4371(86)90212-8

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