Theoretical and experimental investigation of density jump on an inclined surface

The density jump on an inclined surface is analyzed using an integral methodby applying mass and momentum conservation equations. the jump occurs in a two-layereduid ow in which the upper layer is stagnant and very deep. a relation is derived, whichgives the conjugate depth ratio as a function of inlet densimetric froude number, inletconcentration ratio, bed slope and entrainment. a set of experiments are performed toverify the relation. the theory and the measurements are in good agreement. the analysisreveals that increasing the surface inclination results in a decrease in the conjugate depthratio. this analysis also shows that the densimetric froude number just after the jumpis a function of the inlet densimetric froude number and surface inclination and not inletconcentration. the model predicts a critical froude number of 1.12 for horizontal internalhydraulic jumps in salt-water density ows. it also reveals that the critical froude numberfor internal hydraulic jumps in salt-water density ows, increases with surface inclinationand decreases with inlet concentration of the ow.