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

• Published in: AIAA journal 2018-10, Vol.56 (10), p.3975-3987
• Main Authors: Das, Pratik, Sen, Oishik, Jacobs, Gustaaf, Udaykumar, H. S
• Format: Article
• Language: English
• Subjects: Bayesian analysis; Closures; Compressibility; Computational fluid dynamics; Computer simulation; Cylinders; Drag coefficients; Fluid flow; Heat exchange; Heat transfer; Kriging interpolation; Mesoscale phenomena; Metamodels; Nusselt number; Viscosity
• ISSN: 0001-1452; 1533-385X
• DOI: 10.2514/1.J056982

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 ReD and Mach numbers Ms. The results are used to construct a metamodel for the drag coefficient CD and the Nusselt number Nu correlation using a modified Bayesian kriging method. To study the effects of the particle volume fraction ϕ, mesoscale computations are performed for cylinder clusters and the Nu and CD are calculated. The metamodel shows that, although the Nusselt number Nu is primarily a function of the ReD, the Ms and ϕ also significantly affect the interphase heat transfer. In particular, the Nusselt number Nu first decreases until Ms∼1.5−1.8 and increases for values of Ms>1.8. 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.