Coupling the fictitious domain and sharp interface methods for the simulation of convective mass transfer around reactive particles: Towards a reactive Sherwood number correlation for dilute systems

Sulaiman, Mostafa; Hammouti, Abdelkader; Climent, Éric; Wachs, Anthony

doi:10.1016/j.ces.2019.01.004

Cited by 13 publications

(8 citation statements)

References 43 publications

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“…This is only one example showing that proper understanding of heat and mass transfer is vital for optimizing processes. This is further illustrated in the papers on mass transfer inside particles (Partopour et al, 2019) and between particles (Lu et al, 2019 andSulaiman et al, 2019), as well as the study of wall-to-bed heat transfer in bubbly flows (Gvozdić et al, 2019). Transport of ultrafine particles inside packed beds is studied by Boccardo et al (2019).…”

Section: Editorialmentioning

confidence: 96%

Editorial

Deen

Weckhuysen

Kuipers

2019

Chemical Engineering Science

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Section: Editorialmentioning

confidence: 96%

Editorial

Deen

Weckhuysen

Kuipers

2019

Chemical Engineering Science

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“…The Stefan flow was neglected, and the energy equation was not included. Sulaiman et al (2019) used the IB method coupling with the fictitious domain method to simulate the convective mass transfer around reactive particles in an incompressible flow. The ranges of Reynolds number and Schmidt number were from 10 to 100 and 0.5 to 10, respectively.…”

Section: Mass Transfer With Heterogeneous Reactionsmentioning

confidence: 99%

Immersed boundary method for multiphase transport phenomena

Wei

Zhang

Luo

et al. 2020

Reviews in Chemical Engineering

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Multiphase flows with momentum, heat, and mass transfer exist widely in a variety of industrial applications. With the rapid development of numerical algorithms and computer capacity, advanced numerical simulation has become a promising tool in investigating multiphase transport problems. Immersed boundary (IB) method has recently emerged as such a popular interface capturing method for efficient simulations of multiphase flows, and significant achievements have been obtained. In this review, we attempt to give an overview of recent progresses on IB method for multiphase transport phenomena. Firstly, the governing equations, the basic ideas, and different boundary conditions for the IB methods are introduced. This is followed by numerical strategies, from which the IB methods are classified into two types, namely the artificial boundary method and the authentic boundary method. Discussions on the implementation of various boundary conditions at the interphase surface with momentum, heat, and mass transfer for different IB methods are then presented, together with a summary. Then, the state-of-the-art applications of IB methods to multiphase flows, including the isothermal flows, the heat transfer flows, and the mass transfer problems are outlined, with particular emphasis on the latter two topics. Finally, the conclusions and future challenges are identified.

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“…As a result, and as explained in the Appendix A, the fluid-to-fiber mass flux can be evaluated either via the difference between the surface and liquid concentration Equation (12) or using the summation of the Ψ n terms Equation (13).…”

Section: Of 11mentioning

confidence: 99%

“…Internal diffusion has also been taken into account in countercurrent plug flow problems by relating the average concentration within the particles to the local concentration in the fluid [9].In the past few decades, advances in multi-scale and homogenization theories [10], as well as in Computational Fluid Dynamics (CFD) codes and computing facilities, have pushed the boundaries of what can be solved numerically [11]. Particle Resolved Simulations can solve the local heat/mass transfer equations at the particle scale for both fixed and fluidized beds [12]. Detailed particle-based approaches have been proposed using the simulation of a small number of particles in repeating unit cells [3].…”

mentioning

confidence: 99%

Multi-Scale Modeling of the Dynamics of a Fibrous Reactor: Use of an Analytical Solution at the Micro-Scale to Avoid the Spatial Discretization of the Intra-Fiber Space

Dobri

Papathanasiou

2019

Fluids

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Direct modeling of time-dependent transport and reactions in realistic heterogeneous systems, in a manner that considers the evolution of the quantities of interest in both, the macro-scale (suspending fluid) and the micro-scale (suspended particles), is currently well beyond the capabilities of modern supercomputing. This is understandable, since even a simple system such as this can easily contain over 107 particles, whose length and time scales differ from those of the macro-scale by several orders of magnitude. While much can be gained by applying direct numerical solution to representative model systems, the direct approach is impractical when the performance of large, realistic systems is to be modeled. In this study we derive and analyze a “hybrid” model that is suitable for fibrous reactors. The model considers convection/diffusion in the bulk liquid, as well as intra-fiber diffusion and reaction. The essence of our approach is that diffusion and (first-order) reaction in the intra-fiber space are handled semi-analytically, based on well-established theory. As a result, the problem of intra-fiber transport and reaction is reduced to an easily solvable set of n 0 ODEs, where n 0 is the number of terms in the Bessel expansion evaluated without recourse to approximation; this set is coupled, point-wise, with a numerical model of the macro-scale. When the latter is discretized using N nodes, the total “hybrid” model for the system consists of a system of N ( 2 + n 0 ) ODEs, which is easily solvable on a modest workstation. Parametric analyses are presented and discussed.

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Coupling the fictitious domain and sharp interface methods for the simulation of convective mass transfer around reactive particles: Towards a reactive Sherwood number correlation for dilute systems

Abstract: Coupling the fictitious domain and sharp interface methods for the simulation of convective mass transfer around reactive particles: towards a reactive Sherwood number correlation for dilute systems. (2019) Chemical Engineering Science, 198. 334-351.

Cited by 13 publications

References 43 publications

Editorial

Editorial

Immersed boundary method for multiphase transport phenomena

Multi-Scale Modeling of the Dynamics of a Fibrous Reactor: Use of an Analytical Solution at the Micro-Scale to Avoid the Spatial Discretization of the Intra-Fiber Space

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