Viscoplastic dambreak waves: Review of simple computational approaches and comparison with experiments

摘要: We investigated the dam-break problem for Herschel–Bulkley fluids: a fixed volume of viscoplastic material (a polymeric gel called Carbopol ultrez 10) was released and flowed down an inclined flume. Using Particle Image Velocimetry techniques, we measured velocity profiles far from sidewalls, front position as function time, flow depth evolution at given place. The experimental data were compared to three models increasing complexity: kinematic wave model, advection diffusion model (lubrication theory), one-layer Saint-Venant equations. Surprisingly, best agreement obtained with simplest (kinematic model) even though it could not capture details head profile (regarded shock wave, i.e., discontinuity). Lubrication theory (the performed well qualitative viewpoint. Computed in reasonably good data, but this overestimated initial acceleration, which resulted systematic difference between theoretical curves over time. This shortcoming when using more elaborate (Saint-Venant equations), rather exacerbated. relatively modest performance intriguing (for Newtonian liquids, most sophisticated model).