Theoretical and experimental investigation of density jump on an inclined surface


School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran‎


The density jump on an inclined surface is analyzed using integral method by applying mass and momentum conservation equations. The jump occurs in a two-layered fluid flow, in which the upper layer is stagnant and very deep. A relation is derived which gives the conjugate depth ratio as a function of inlet densimetricFroude number, inlet concentration ratio, bed slope, and entrainment. A set of experiments are performed to verify the relation. The theory and the measurements are in good agreement. The analysis reveals that increasing the surface inclination results in a decrease in the conjugate depth ratio. This analysis also shows that the densimetric Froude number just after the jump is a function of the inlet densimetric Froude number and surface inclination and not inlet concentration. The model predicts a critical Froude number of 1.12 for horizontal internal hydraulic jumps in salt-water density flows. It also reveals that the critical Froude number for internal hydraulic jumps in salt-water density flows increases with surface inclination and decreases with inlet concentration of the flow.