• Dynamics of immiscible radial viscous fingering: A numerical study

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      https://www.ias.ac.in/article/fulltext/pram/041/04/0389-0399

    • Keywords

       

      Viscous fingering; Fractals; Hele-Shaw flow

    • Abstract

       

      In this paper we undertake a numerical investigation of the dynamics of the interface in the problem of immiscible radial viscous fingering in a Hele-Shaw cell when the areal flow rate is maintained constant. Comparison is made with experimental results to check if there is a need to introduce velocity-dependent boundary conditions and to incorporate the effect of thickness of the film left behind by the moving interface. Some new scaling results are suggested by the numerical data. These data, along with those available from laboratory experiments, provide support for a mean field theory for radial immiscible viscous fingering published recently [Phys. Rev. Lett.65, 2680 (1990)].

    • Author Affiliations

       

      Subir K Sarkar1 David Jasnow1 2

      1. School of Physical Sciences, Jawaharlal Nehru University, New Delhi - 110 067, India
      2. Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA - 15260, USA
    • Dates

       
  • Pramana – Journal of Physics | News

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