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[00826] Saffman-Taylor fingers selection mechanism in non-newtonian fluids

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @D101
  • Type : Contributed Talk
  • Abstract : We present an analytical approach, based on the Wentzel-Kramers-Brillouin technique, to predict the finger width of a simple fluid driving a non-Newtonian, power-law fluid. We find that in the limit of small surface tension, (\nu), the relation between the dimensionless (\nu), viscosity and finger width, (\Lambda), has the form: (\Lambda \sim \frac{1}{2} - \mathrm{O}(\nu ^ {-1/2})) for shear thinning case, and (\Lambda \sim \frac{1}{2} + \mathrm{O}(\nu^{2/(4-n)})) for shear thickening case. A detailed comparison is provided.
  • Classification : 76E17
  • Format : Talk at Waseda University
  • Author(s) :
    • Diksha Bansal (IIIT Delhi)