Polydisperse particle-driven gravity currents propagating into a stratified ambient in containers of general cross sections

We investigate high-Reynolds-number polydisperse gravity currents propagating along a channel of general cross-section into a linearly stratified ambient fluid. We formulate and solve numerically the shallow water equations and present typical height and velocity profiles of the current and particle mass concentration. Two dimensionless parameters, Stratification (S) and particle buoyancy (), are relevant. Increasing S decreases the current velocity propagation, but as increases, the current propagates faster. For a specific S, dependence, an equilibrium occurs for a significant time and the system behaves like a system without particles propagating into the ambient of constant density.