Shock Solutions for Particle-Laden Thin Films

We derive a lubrication model describing gravity-driven thin film flow of a suspension of heavy particles in viscous fluid. The main features of this continuum model are an effective mixture viscosity and a particle settling velocity, both depending on particle concentration. The resulting equations form a 2

• Type: Journal
• Year: 2008
• Where: SIAMAM
• Authors: Benjamin P. Cook, Andrea L. Bertozzi, A. E. Hosoi
• Keywords: Conservation Laws, Effective Mixture Viscosity, Riemann Problem, SIAMAM 2008