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Viscous fingering patterns of silica suspensions in polymer solutions: effects of viscoelasticity and gravity

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  • Kawaguchi, Masami
  • Makino, Kyoko
  • Kato, Tadaya

Abstract

Viscous fingering patterns of silica suspensions in polymer solutions, where polymer chains are adsorbed on silica particles, were investigated by pushing air or nitrogen gas in the radial Hele-Shaw cell. Fingering patterns of the stable silica suspensions showed a systematic change from tip-splitting to side branched patterns with an increase in free polymer concentration in suspended media, irrespective of silica content. Such changes in the pattern morphology were similar to those of polymer solutions with the corresponding concentration. The finger growth rate almost increased with a power law of the ratio of the injection pressure and effective shear viscosity, but the exponent was in disagreement with Darcy's law modified by taking into account shear thinning effects. The finger width was followed with the power law of the elasticity of the silica suspension, but the resulting exponent was much larger than that predicated by existing theory.

Suggested Citation

  • Kawaguchi, Masami & Makino, Kyoko & Kato, Tadaya, 1997. "Viscous fingering patterns of silica suspensions in polymer solutions: effects of viscoelasticity and gravity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 385-398.
    • Handle: RePEc:eee:phsmap:v:246:y:1997:i:3:p:385-398
    DOI: 10.1016/S0378-4371(97)00358-0
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    References listed on IDEAS

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    1. Joanny, J.-F. & De Gennes, P.G., 1987. "Bursting of a soap film in a viscous environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 238-255.
    2. Anil K. Kashyap & Owen A. Lamont & Jeremy C. Stein, 1992. "Credit Conditions and the Cyclical Behavior of Inventories: A Case Studyof the 1981-82 Recession," NBER Working Papers 4211, National Bureau of Economic Research, Inc.
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