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[02673] Reduced-order Modelling of Normal Elastohydrodynamic Collision of Spheres

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @D403
  • Type : Contributed Talk
  • Abstract : I present a model for the normal impact of two elastic spheres colliding in incompressible constant-viscosity Newtonian fluid. Pressure is modelled by the Reynolds lubrication equation, and sphere deformation by Hertz contact theory. Modelling the radial pressure gradient by a Pad\'e approximant that is characterized by the centerline gap and curvature, and by rate of gap closing, the problem is reduced to a fourth-order system of ODEs that can be integrated numerically in time.
  • Classification : 76Txx, 74Fxx, 70Gxx
  • Format : Talk at Waseda University
  • Author(s) :
    • John C. WELLS (Ritsumeikan University)