A low-Mach approximation computational framework for particle-laden flows subject to radiation

The three-way coupled physics of radiation, fluid flow, and particle transport forms the dynamical ingredients in various technological and natural systems, such as particle-based solar-thermal systems, clouds, soothing flames, and atmospheric aerosols. Depending on radiation intensity, the density fluctuations in such systems can be up to order of the mean density itself. We present a parameterization of this problem using a simple model considering flow laden with particles with finite momentum relaxation time. We further present a coupled computational algorithm for simulation of flow, particle transport, and heat transfer using low-Mach approximation. Variety of statistics for gas and dispersed phases are investigated to depict the effect of radiation on particle-laden turbulence at different scenarios. The range of applicability of Boussinesq approximation for modeling buoyancy effects will be discussed.