An important feature in the problem of underexpanded jets is the prediction of the location of the Mach disk. In the current study, a discontinuous Galerkin solver is applied to the two-fluid system of equation of the dusty gas flow for predicting the...
An important feature in the problem of underexpanded jets is the prediction of the location of the Mach disk. In the current study, a discontinuous Galerkin solver is applied to the two-fluid system of equation of the dusty gas flow for predicting the location of the Mach disk when solid particles are added. It has been known that for small particle diameters the increase of particulate loading leads to an upstream movement of the Mach disk. In this study, it is proposed that the effective parameter controlling the Mach disk movement is the Stokes number. The validity of this proposition is investigated by a series of numerical simulations. The results indicate that for low Stokes number flows there is a downstream movement, while for high Stokes number flows there is an upstream movement. Furthermore, it is shown that for more accurate predictions in comparison with experimental results it is necessary to assign an equivalent mixture speed at the inlet.