Qiang Zhou

This work pursues an integrated filtered reaction rate (FRR) model that incorporates intraparticle diffusion effectiveness factor ( η _I ) into a framework combining reaction kinetics regime (KR) and external mass transfer regime (EMTR) via fine‐grid two‐fluid model (TFM) simulations. Simulation results indicate that the modified Damköhler number remains a reliable criterion for distinguishing between KR and EMTR. Within the KR, the FRR model that neglects η _I overestimates the mesoscale effectiveness factor ( η _Δ ) when η _I < 0.5, though these effects become negligible at η _I >0.5. This overestimation is attributed to the increase in the Damköhler number with decreasing η _I , which subsequently results in a lower η _Δ . Accordingly, an integrated FRR model incorporating η _I is proposed. Coarse‐grid TFM simulations demonstrate that the FRR model without intraparticle diffusion yields only modest improvements, whereas the version integrated with intraparticle diffusion achieves substantially better agreement with the filtered fine‐grid TFM results.

This work pursues a generalized filtered reaction rate (FRR) model for reactive gas–solid flows via fine‐grid two‐fluid model (TFM) simulations. The power‐law kinetic with various reaction orders ( n ) is considered. It is well known that the solid‐catalyzed reaction rate is bounded by the kinetic regime (KR) and external mass transfer‐controlled regime (EMTR). It is found that the FRR model maintains excellent predictive performance both for n > 1 in two different regimes and n < 1 in the KR. However, an underprediction is observed at n < 1 within the EMTR. Thus, a modified formula for the FRR model in the EMTR is proposed. Then a generalized FRR model is derived. The assessment for the model is performed via a priori analysis and a filtered TFM simulation. The priori analysis and filtered TFM simulations quantitatively demonstrate that the model exhibits robust predictive capability.