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[00261] Translational motion of a slightly deformed viscous spherical droplet in Stokes flow

  • Session Time & Room : 4D (Aug.24, 15:30-17:10) @D401
  • Type : Contributed Talk
  • Abstract : The problem of steady translational motion of a slightly deformed spherical droplet immersed in an immiscible viscous fluid is studied analytically under the consideration of vanishing Reynolds number. The flow fields in both the regions i.e. in the interior of droplet and exterior of droplet are governed by steady Stokes equations that are solved asymptotically using a method of perturbed expansions undersuitable boundary conditions. The deformation from spherical shape is characterized by a small parameter called deformation parameter, therefore, we have solved the problem up to the second order of the deformation parameter by neglecting the higher orders. The effect of deformation parameter is observed by means of force expression. The explicit expressions for the hydrodynamic drag force exerted on the droplet surface are obtained for the special cases of prolate and oblate spheroids. Our results are in good agreement with the exisitng results in literature for deformed solid sphere up to first and second order.
  • Classification : 76D07, 76T06, Transport Phenomena, Motion of bubbles and drops
  • Format : Talk at Waseda University
  • Author(s) :
    • Jai Prakash (Mahindra University, Hyderabad)
    • Huan J. Keh (National Taiwan University, Taipei)