On the Respective Roles of Low Surface Tension and Non-Newtonian Rheological Properties in Fractal Fingering

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Published under licence by IOP Publishing Ltd
, , Citation H. van Damme et al 1988 EPL 5 25 DOI 10.1209/0295-5075/5/1/005

0295-5075/5/1/25

Abstract

We compare the morphological features of highly branched fractal viscoelastic fingering (FVF) patterns obtained by injecting air into aqueous colloidal suspensions in a Hele-Shaw cell with those obtained by injecting water. Apart from a larger average finger width in the immiscible (air) case, which can be accounted for by a lower cut-off introduced by surface tension, the general features of the growth process (fractal dimension; finger width vs. tip velocity; pattern width vs. tip velocity; displacement efficiency vs. tip velocity) are closely parallel in the immiscible and in the miscible case. This shows that a negligible surface tension is but a minor factor in the onset of FVF when the high-viscosity fluid has non-Newtonian, shear thinning properties. An effective control parameter, , is calculated by taking into account the non-Newtonian viscosity of the colloidal fluid. is always larger than 105 in our experiments, which is much larger than in Saffman-Taylor fingering.

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10.1209/0295-5075/5/1/005