A unified single-field model framework for Volume-Of-Fluid simulations of interfacial species transfer applied to bubbly flows

Deising, Daniel; Marschall, Holger; Bothe, Dieter

doi:10.1016/j.ces.2015.06.021

Cited by 83 publications

(51 citation statements)

References 45 publications

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“…They have shown single rising bubbles with mass transfer (Alke and Bothe, 2008) using the VOF method, extended their work with chemical reactions by Bothe et al (2009) and it has been improved using a subgrid-scale model for mass transfer so that Schmidt numbers up to 512 for single rising bubbles could be achieved (Bothe and Fleckenstein, 2013). Their most recent work (Deising et al, 2016) discusses the implementation of a Continuous Species Transfer (CST) model (see also Marschall et al, 2012) in the adaptive mesh refinement framework, using VOF with interface reconstruction. These works show that the simulation of gas-liquid mass transfer from 3D deformable single bubbles is finally within reach.…”

Section: Mass Transfermentioning

confidence: 96%

An improved Front-Tracking technique for the simulation of mass transfer in dense bubbly flows

Roghair

Annaland

Kuipers

2016

Chemical Engineering Science

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Section: Mass Transfermentioning

confidence: 96%

An improved Front-Tracking technique for the simulation of mass transfer in dense bubbly flows

Roghair

Annaland

Kuipers

2016

Chemical Engineering Science

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“…the VoF transport eqn. (20) ∂ t α + ∇ · (αu) = 0 and the discretised species transport equation underlying the CST model [6]. Employing a harmonic mean diffusion coefficient, the simplest version of the latter can be written as (cf.…”

Section: Utilized Finite Volume Discretisationmentioning

confidence: 99%

“…Employing a harmonic mean diffusion coefficient, the simplest version of the latter can be written as (cf. [6])…”

Section: Utilized Finite Volume Discretisationmentioning

confidence: 99%

“…Algebraic Volume-of-Fluid (VoF) methods [1][2][3][4] are widely used for numerical simulations of flows consisting of two incompressible fluid phases with a sharp deformable interface separating them. Recently a model for interfacial species transfer within the algebraic VoF framework, namely the Continuous Species Transfer (CST) model, was presented in [5,6]. Within this modeling framework, heat transfer is to be seen as a special case without jump and can thus be described by a simplified CST model equation.…”

Section: Introductionmentioning

confidence: 99%

“…• to devise a suitable method for mesh skewness correction for the discretised advection and diffusion terms of the single-field CST model for VoF-based interfacial heat and mass transfer. Notably, one of the CST model terms is discretised in a non-standard way [6], that is, despite originating from a diffusive transport term, it has been found that it is best to treat one term implicitly by means of a FV divergence rather than a FV laplacian operator. • to identify and clarify the influence of a jump in the scalar transport variable on the order of convergence when refining a systematically distorted finite volume mesh and applying implicit skewness corrections.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Boundedness-preserving implicit correction of mesh-induced errors for VOF based heat and mass transfer

Hill

Deising

Acher

et al. 2018

Journal of Computational Physics

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Spatial discretisation of geometrically complex computational domains often entails unstructured meshes of general topology for Computational Fluid Dynamics (CFD). Mesh skewness is then typically encountered causing severe deterioration of the formal order of accuracy of the discretisation, or boundedness of the solution, or both. Particularly methods inherently relying on the accurate and bounded transport of sharp fields suffer from all types of mesh-induced skewness errors, namely both non-orthogonality and non-conjunctionality errors.This work is devoted to a boundedness-preserving strategy to correct for skewness errors arising from discretisation of advection and diffusion terms within the context of interfacial heat and mass transfer based on the Volumeof-Fluid methodology. The implementation has been accomplished using a second-order finite volume method with support for unstructured meshes of general topology. We examine and advance suitable corrections for the finite volume discretisation of a consistent single-field model, where both accurate and bounded transport due to diffusion and advection is crucial. In order to ensure consistency of both the volume fraction and the species concentration transport, i.e. to avoid artificial heat or species transfer, corrections are studied for both cases. The cross interfacial jump and adjacent sharp gradients of species concentration render the correction for skewness-induced diffusion and advection errors additionally demanding and has not so far been addressed in the literature.(1)

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An improved subgrid scale model for front‐tracking based simulations of mass transfer from bubbles

et al. 2019

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Gas-liquid bubble column reactors are often used in industry because of their favorable mass transfer characteristics. The bubble mass boundary layer in these systems is generally one order of magnitude thinner than the momentum boundary. To resolve it in simulations, a subgrid scale model will account for the sharp concentration variation in the vicinity of the interface. In this work, the subgrid scale model of Aboulhasanzadeh et al., Chem Eng Sci, 2012, 75:456-467 embedded in our in-house front tracking framework, has been improved to prevent numerical mass transfer due to remeshing operations. Furthermore, two different approximations of the mass distribution in the boundary layer have been tested. The local and global predicted Sherwood number has been verified for mass transfer from bubbles in the creeping and potential flow regimes. In addition, the correct Sherwood number has been predicted for free rising bubbles at several Eötvös and Morton numbers with industrial relevant Schmidt numbers (10 3 -10 5 ). K E Y W O R D Sboundary layer, bubble columns, front tracking, mass transfer, subgrid scale modeling

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A unified single-field model framework for Volume-Of-Fluid simulations of interfacial species transfer applied to bubbly flows

Cited by 83 publications

References 45 publications

An improved Front-Tracking technique for the simulation of mass transfer in dense bubbly flows

An improved Front-Tracking technique for the simulation of mass transfer in dense bubbly flows

Boundedness-preserving implicit correction of mesh-induced errors for VOF based heat and mass transfer

An improved subgrid scale model for front‐tracking based simulations of mass transfer from bubbles

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