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Fractal Growth of Viscous Fingers: New Experiments and Models

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Physics of Finely Divided Matter

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 5))

Abstract

We report on experiments which demonstrate that the instability pattern obtained when water pushes a more viscous but miscible, non-Newtonian fluid in a Hele-Shaw cell are fractals. Reproducible values for the fractal dimension d f were found which were interpreted using a modification of the diffusion-limited aggregation model. We also discuss the application of the gradient-governed growth model to two-fluid instability problems.

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References

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Author information

Authors and Affiliations

  1. Etudes et Fabrication Dowell Schlumberger, F-42003, St. Etienne, France

    Gerard Daccord & Johann Nittmann

  2. Center for Polymer Studies and Department of Physics, Boston University, Boston, MA, 02215, USA

    H. E. Stanley

Authors
  1. Gerard Daccord
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  2. Johann Nittmann
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  3. H. E. Stanley
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Editor information

Editors and Affiliations

  1. Centre de Physique, Université Scientifique et Médicale de Grenoble, Côte des Chavants, F-74310, Les Houches, France

    Nino Boccara

  2. Commissariat à I’Energie Atomique Service de Spectrometrie et Diffraction Neutroniques C. E. N. Saclay, F-91191, Gif-sur-Yvette Cedex, France

    Mohamed Daoud

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© 1985 Springer-Verlag Berlin Heidelberg

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Daccord, G., Nittmann, J., Stanley, H.E. (1985). Fractal Growth of Viscous Fingers: New Experiments and Models. In: Boccara, N., Daoud, M. (eds) Physics of Finely Divided Matter. Springer Proceedings in Physics, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93301-1_31

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  • DOI: https://doi.org/10.1007/978-3-642-93301-1_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-93303-5

  • Online ISBN: 978-3-642-93301-1

  • eBook Packages: Springer Book Archive

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