Evaluating the correlations for supersonic spray combustion

In a recent work [Ladeinde, F., “Dynamics of Supersonic Spray Combustion,” AIAA Paper 2018-4743], supersonic spray models for hydrodynamic forces (drag, pressure force, shear stress force, apparent mass force, and Basset force), which are effects that are usually neglected in spray modeling of low-speed flows are proposed for further investigation. Also proposed are a couple of Nusselt number correlations for supersonic spray combustion. The distributions of these quantities are shown as functions of the Reynolds number (drag and Nusselt number correlations) and Mach number (Nusselt number correlations). However, the assessments made in the above reference are done outside of a CFD code. In the present work the performance of one of the supersonic drag models is compared with that of an incompressible model within the VULCAN CFD code in a preliminary analysis involving both non-reactive and reactive Hyshot model of the scramjet engine. Only early simulation time results are shown in this paper.