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A Numerical Investigation of Mixing Models in LES-FMDF for Compressible Reactive Flows

Wenwu Chen, Jianhan Liang, Lin Zhang and Qingdi Guan
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Wenwu Chen: College of Aerospace Science and Engineering, National University of Defense Technology, No.109 Deya Road, Changsha 410073, China
Jianhan Liang: College of Aerospace Science and Engineering, National University of Defense Technology, No.109 Deya Road, Changsha 410073, China
Lin Zhang: College of Aerospace Science and Engineering, National University of Defense Technology, No.109 Deya Road, Changsha 410073, China
Qingdi Guan: College of Aerospace Science and Engineering, National University of Defense Technology, No.109 Deya Road, Changsha 410073, China

Energies, 2021, vol. 14, issue 16, 1-26

Abstract: The filtered mass density function (FMDF) model has been employed for large-eddy simulations (LES) of compressible high-speed turbulent mixing and reacting flows. However, the mixing model remains a pressing challenge for FMDF methods, especially for compressible reactive flows. In this work, a temporal development mixing layer with two different convective Mach numbers, M c = 0.4 and M c = 0.8 , is used to investigate the mixing models. A simplified one-step reaction and a real hydrogen/air reaction are employed to study the mixing and turbulence-chemistry interaction. Two widely used mixing models, interaction by exchange with the mean (IEM) and Euclidean minimum spanning tree (EMST), are studied. Numerical results indicate that no difference is observed between the IEM and EMST models in simple reaction flows. However, for hydrogen/air reactions, the EMST model can predict the reaction more accurately in high-speed flow. For mixing models in compressible reactive flows, the requirement of localness preservation tends to be more essential as the convective Mach number increases. With the increase of compressibility, the sensitivity of the mixing model coefficient is reduced significantly. Therefore, the appropriate mixing model coefficient has a wider range. Results also indicate that a large error may result when using a fixed mixing model coefficient in compressible flows.

Keywords: LES-FMDF; mixing models; compressible reactive flows (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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