[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.
