Metamodels for Interphase Heat Transfer from Mesoscale Simulations of Shock–Cylinder Interactions

Abstract

Macroscale computations of shocked particle-laden flows rely on closure laws to model the heat transfer between the fluid and particle phases. Typically, closure models are semiempirical and obtained for a limited range of parameters because experiments can be difficult and expensive to perform. This paper describes an approach to obtain closures for heat and momentum exchanges from ensembles of high-fidelity mesoscale computations of shock–cylinder interactions. The simulations are performed for flow over a single cylinder for a wide range of Reynolds and Mach numbers . The results are used to construct a metamodel for the drag coefficient and the Nusselt number correlation using a modified Bayesian kriging method. To study the effects of the particle volume fraction , mesoscale computations are performed for cylinder clusters and the and are calculated. The metamodel shows that, although the Nusselt number is primarily a function of the , the and also significantly affect the interphase heat transfer. In particular, the Nusselt number first decreases until and increases for values of . The results show that compressibility and viscous effects must be taken into account to provide accurate closure laws for interphase heat transfer in shocked particle-laden flows.