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According to field observations, the atmospheric boundary layer is usuallyunstably stratified before a dust and sandstorm, the particle-laden turbulentgravity current with an extremely high Reynolds number. In this paper, aninviscid model is built to study the mechanism governing the slumping phase ofgravity current, and it is shown that the dimensionless current front speed,the Froude number, decreases when the current fluid or the ambient medium orboth fluids are unstably stratified. In spite of the density interface mixing,the relation between the front speed and the front height described by theinviscid model agrees with the numerical simulation results, where thelock-exchange gravity currents with different initial lock heights arecalculated for different unstable stratification cases. Furthermore, thevelocity increments obtained by field observations at the sandstorm fronts aresatisfactorily consistent with the evaluations of the model, suggesting thatthe inviscid mechanism makes contribution to such high Reynolds numberturbulent flows.

An inviscid model study of sandstorm in unstably stratified atmospheric boundary layer