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Development of a filtered reaction rate model for reactive gas–solid flows based on fine‐grid simulations
Author(s) -
Huang Zheqing,
Wang Lingxue,
Zhou Qiang
Publication year - 2021
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.17185
Subject(s) - reaction rate , grid , isothermal process , thermodynamics , mechanics , standard deviation , probability density function , closure (psychology) , chemistry , mesoscale meteorology , physics , mathematics , meteorology , catalysis , statistics , geometry , biochemistry , economics , market economy
The filtered reaction rate for the coarse‐grid simulations of reactive gas–solid flows can be obtained via a correction to its microscopic reaction rate. The correction term is defined as the mesoscale effectiveness factor η Δ , which is the ratio of the reaction rate obtained from the fine‐grid simulations to that obtained from the coarse‐grid simulations. The considered reaction is an isothermal, solid‐catalyzed surface reaction with a power law reaction rate model. The simulation results show that the mean η Δ is almost invariant with the reaction orders at the same Damköhler number. A closure correlation for the mean η Δ is formulated. However, the standard deviation of η Δ is found to be quite large. A presumed probability density function model is proposed to capture the fluctuating properties of η Δ . The predictability of the closure correlations are evaluated via performing the filtered two fluid model simulations in circulating fluidized beds of ozone decomposition.