Regime transitions in stratified shear flows: the link between horizontal and inclined ducts.

We propose an analytical theory that determines the governing parameter and the curvesin the parameter space for the transitions between different regimes of stratified shearflows in inclined ducts at high Schmidt number values. This theory is compared withexperimental results showing good agreement. The link between horizontal and inclinedducts is made possible by a one-dimensional model that considers the dynamic role of theinclined sharp interface. The theory further predicts the critical value of the governingparameter for the emergence of waves at the interface.