A bubble structure‐based drag model developed for the monodispersed system has been extended to simulate bi‐dispersed bubbling fluidized beds. Both dense phase and dilute phase are considered to be comprised of two types of particles with different sizes. The derivation of the structure‐based drag coefficient for individual particle based on the force equilibrium principle is proved to be independent of the volume fractions (εsi) of particle i. The multi‐fluid model in the commercial software Ansys Fluent is employed to evaluate the polydispersed drag model for the segregation of binary gas‐particle flows in a bubbling fluidized bed. It is shown that the simulation results predicted by the new structure‐based drag model are in reasonable agreement with experimental data with a 6.34% root mean square error (RMSE). The new structure‐based model can capture the particle distribution at the top region of the fluidized bed well. The bubble behaviour can also be captured by the new model well.

Introduction: DMP-1 supplement has a satisfactory effect on diabetic kidney disease in patients with whether T1DM or T2DM. Oxidative stress and TGF-β signal pathway activation are essential in the pathogenesis of DKD. We aim to investigate the effect of DMP-1 on oxidative stress and TGF-β activation in rats with DKD.Materials and methods: Male Wistar rats were enrolled and randomly allocated into five groups: Control group, STZ group (60 mg/kg, ip), DMP-1 low dose group (0.5 g/kg/day, ig), DMP-1 medium dose group (1.0 g/kg/day, ig) and DMP-1 high dose group (2.0 g/kg/day, ig). The levels of UREA, BUN, UCr, β2-MG, mALB, NOS, CAT, MDA and T-AOC were measured after 8 weeks treatment. And rats’ left kidneys were harvested to detect the expression of TGF-β, Smad2/3 and Smad7 by immunohistochemical analysis.Results: DMP-1 treatment has protective effects on kidney injury induced by STZ, which is demonstrated as following criteria: (1) a significant reduction in levels of UREA (p < 0.05), BUN (p < 0.05), UCr (p < 0.05), β2-MG (p < 0.05) and mALB (p < 0.05) in rats treated by DMP-1 compared with the ones injected with STZ only; (2) an apparent increment levels of NOS (p < 0.05), CAT (p < 0.05) and T-AOC (p < 0.05), while reduction in level of MDA (p < 0.05) in DMP-1 groups compared with STZ group; (3) a significant inhibition of TGF-β and Smad2/3 overexpression induced by STZ in kidney tissue. What’s more, DMP-1 can increase Smad7 expression.Conclusion: DMP-1 could slow pathological process and protect kidney from DKD injury by decreasing oxidative stress and inhibiting TGF-β signal pathway activation in rats.

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To forecast the mass transfer behavior in consideration of non-catalytic solid reaction characteristics with the shrinking spherical model (SPM), a structure-based mass transfer model taking account of the gas–solid mass exchange within both the emulsion and bubble/interphase phases is built and coupled with computational fluid dynamics (CFD) to predict the carbochlorination of TiO2 with a binary gas–solid phase system. Based on the validation through comparing with the experimental data, the simulation gives a comprehensive understanding and deep analysis of the gas–solid reaction that is helpful for the design and optimization of a non-catalytic fluidized reactor. It is concluded that the fluidized mass transfer process with a heterogeneous flow structure is not only affected by the chemical reaction rate but also dependent on local flow parameters.