Development of a filtered interphase heat transfer model based on fine‐grid simulations of gas–solid flows

Huang, Zheqing; Zhang, Chi; Jiang, Ming; Zhou, Qiang

doi:10.1002/aic.16755

Cited by 20 publications

(39 citation statements)

References 33 publications

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“…Agrawal et al 26 formulated a filtered IHTC closure depending on the filter size and

{\overset{false¯}{ϕ}}_{s}

. In analogy to the introduction of the drift velocity in the drag correction factor, a new concept of drift temperature

{\overset{false˜}{T}}_{normald, normalg}

has been proposed 32,34,35 . According to these studies, the origin of the drift temperature is provided in SI.…”

Section: Resultsmentioning

confidence: 99%

“…The filtering procedure adopted for microscopic TFM and CFD–DEM formulations is analogous as those in the literature 19,35,46 . The definition of the filtered particle phase volume fraction is as follows

{\overset{false¯}{ϕ}}_{s} ((), boldx, t) = ∭ ϕ_{s} ((), boldr, t) G ((), boldr - boldx) d boldr

…”

Section: Cfd–dem Model Developmentmentioning

confidence: 99%

“…Since the heat transfer between the gas and solid phase is not resolved in coarse‐grid simulations, the IHTC is usually obtained by

γ ((), {\overset{false¯}{ϕ}}_{s}, (||, {\overset{false~}{boldu}}_{g} - {\overset{false~}{boldu}}_{s}))

. In order to consider the effect of unresolved structures on the interphase heat transfer, the correction to

γ ((), {\overset{false¯}{ϕ}}_{s}, (||, {\overset{false~}{boldu}}_{g} - {\overset{false~}{boldu}}_{s}))

is defined as 26,35

H_{heat} = \frac{γ_{filt}}{γ ({\bar{ϕ}}_{s}, (||, {\tilde{u}}_{normalg, y} - {\tilde{u}}_{normals, y}))} = \frac{\bar{γ (T_{normals} - T_{normalg})}}{γ ({\bar{ϕ}}_{s}, (||, {\tilde{u}}_{normalg, y} - {\tilde{u}}_{normals, y})) ({\tilde{T}}_{s} - {\tilde{T}}_{g})}

…”

Section: Cfd–dem Model Developmentmentioning

confidence: 99%

“…In particular, the difference of filtered IHTCs deduced from 3D TFM and CFD–DEM simulations in this work is quantified. Finally, the comparison of the enhanced model based on CFD–DEM simulation results with those of Agrawal et al 26 and Huang et al 35 based on 2D TFM is also implemented.…”

Section: Introductionmentioning

confidence: 99%

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Study of filtered interphase heat transfer using highly resolved CFD–DEM simulations

Zhu

Luo

2020

AIChE Journal

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Accurately predicting the complex inhomogeneous heat transfer behavior in gas–solid fluidized beds is of fundamental importance. In this work, we constitute an enhanced filtered interphase heat transfer coefficient (IHTC) closure by systematically filtering the dataset from highly resolved three‐dimensional (3D) computational fluid dynamics–discrete element model simulations. Particularly, effects of several potential filtered variable markers on filtered IHTC predictions are examined by statistical analysis. We reveal the formulated filtered IHTC correction closure manifests a systematic dependence on filtered interphase temperature difference as an additional marker. The proposed closure shows good agreement with the filtered fine‐grid simulation data in an a priori analysis. Moreover, the difference of filtered IHTC corrections deduced from 3D Euler–Euler and Euler–Lagrange simulations is quantified. Finally, the comparative analysis between our proposed filtered IHTC formulation and those in literature is implemented. This work holds a potential to facilitate the development of thermal gas–solid flow modeling.

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“…Agrawal et al 26 formulated a filtered IHTC closure depending on the filter size and

{\overset{false¯}{ϕ}}_{s}

. In analogy to the introduction of the drift velocity in the drag correction factor, a new concept of drift temperature

{\overset{false˜}{T}}_{normald, normalg}

has been proposed 32,34,35 . According to these studies, the origin of the drift temperature is provided in SI.…”

Section: Resultsmentioning

confidence: 99%

{\overset{false¯}{ϕ}}_{s} ((), boldx, t) = ∭ ϕ_{s} ((), boldr, t) G ((), boldr - boldx) d boldr

…”

Section: Cfd–dem Model Developmentmentioning

confidence: 99%

“…Since the heat transfer between the gas and solid phase is not resolved in coarse‐grid simulations, the IHTC is usually obtained by

γ ((), {\overset{false¯}{ϕ}}_{s}, (||, {\overset{false~}{boldu}}_{g} - {\overset{false~}{boldu}}_{s}))

. In order to consider the effect of unresolved structures on the interphase heat transfer, the correction to

γ ((), {\overset{false¯}{ϕ}}_{s}, (||, {\overset{false~}{boldu}}_{g} - {\overset{false~}{boldu}}_{s}))

is defined as 26,35

H_{heat} = \frac{γ_{filt}}{γ ({\bar{ϕ}}_{s}, (||, {\tilde{u}}_{normalg, y} - {\tilde{u}}_{normals, y}))} = \frac{\bar{γ (T_{normals} - T_{normalg})}}{γ ({\bar{ϕ}}_{s}, (||, {\tilde{u}}_{normalg, y} - {\tilde{u}}_{normals, y})) ({\tilde{T}}_{s} - {\tilde{T}}_{g})}

…”

Section: Cfd–dem Model Developmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Study of filtered interphase heat transfer using highly resolved CFD–DEM simulations

Zhu

Luo

2020

AIChE Journal

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show abstract

“…Most studies have investigated the influence of subgrid effects on the effective reaction rate of first-order solids-catalyzed reactions [28][29][30], where mass-transfer limitations imposed by the bubbles and clusters drastically reduce the effective reaction rates. Closures are also required for the dispersion of scalars (such as species and enthalpy) due to subgrid velocity fluctuations and for the effective interphase heat transfer rate [31,32]. The present study aimed to demonstrate how multiscale CFD simulations can be used to assist the evaluation of novel reactor concepts on an industrial scale, focusing on an internally circulating fluidized bed reactor for power production with CO2 capture.…”

Section: Methodsmentioning

confidence: 99%

Simulation-Based Design and Economic Evaluation of a Novel Internally Circulating Fluidized Bed Reactor for Power Production with Integrated CO2 Capture

et al. 2019

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Limiting global temperature rise to well below 2 °C according to the Paris climate accord will require accelerated development, scale-up, and commercialization of innovative and environmentally friendly reactor concepts. Simulation-based design can play a central role in achieving this goal by decreasing the number of costly and time-consuming experimental scale-up steps. To illustrate this approach, a multiscale computational fluid dynamics (CFD) approach was utilized in this study to simulate a novel internally circulating fluidized bed reactor (ICR) for power production with integrated CO2 capture on an industrial scale. These simulations were made computationally feasible by using closures in a filtered two-fluid model (fTFM) to model the effects of important subgrid multiphase structures. The CFD simulations provided valuable insight regarding ICR behavior, predicting that CO2 capture efficiencies and purities above 95% can be achieved, and proposing a reasonable reactor size. The results from the reactor simulations were then used as input for an economic evaluation of an ICR-based natural gas combined cycle power plant. The economic performance results showed that the ICR plant can achieve a CO2 avoidance cost as low as $58/ton. Future work will investigate additional firing after the ICR to reach the high inlet temperatures of modern gas turbines.

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Development of a filtered reaction rate model for reactive gas–solid flows based on fine‐grid simulations

2021

Self Cite

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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 ηΔ, 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 ηΔ is almost invariant with the reaction orders at the same Damköhler number. A closure correlation for the mean ηΔ is formulated. However, the standard deviation of ηΔ is found to be quite large. A presumed probability density function model is proposed to capture the fluctuating properties of ηΔ. The predictability of the closure correlations are evaluated via performing the filtered two fluid model simulations in circulating fluidized beds of ozone decomposition.

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Development of a filtered interphase heat transfer model based on fine‐grid simulations of gas–solid flows

Cited by 20 publications

References 33 publications

Study of filtered interphase heat transfer using highly resolved CFD–DEM simulations

Study of filtered interphase heat transfer using highly resolved CFD–DEM simulations

Simulation-Based Design and Economic Evaluation of a Novel Internally Circulating Fluidized Bed Reactor for Power Production with Integrated CO2 Capture

Development of a filtered reaction rate model for reactive gas–solid flows based on fine‐grid simulations

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