Assessing Eulerian–Lagrangian simulations of dense solid-liquid suspensions settling under gravity

Derksen, J. J.

doi:10.1016/j.compfluid.2016.12.017

Cited by 11 publications

(24 citation statements)

References 26 publications

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“…In our previous work, it was shown that average slip velocities were virtually insensitive for the half‐width of the mapping function

λ

as long as

λ / d \geq 1.5

. The left panel of Figure confirms this for the current hindered settling simulations.…”

Section: Resultsmentioning

confidence: 99%

“…The choice of the width of the mapping function (

λ

) is worthwhile investigating. Earlier research suggests a value of

λ = 1.5 d

and we will be using this as our default choice. However, we will be looking into the effects of excursions from this choice.…”

Section: Flow Systems and Simulation Methodsmentioning

confidence: 99%

“…The modestly turbulent mixing tank applications we are interested in have specific requirements for the mapping process: It should be able to deal with particle sizes ( d ) that are of the same order of magnitude as the grid spacing

Δ

;

d = O true(Δ true)

. Where some, largely interpolation based, mapping methods require the mesh to be much wider than the particle size, there is recent development in mappings facilitating

d = O true(Δ true)

simulations . We need such mappings to have freedom in the choice of grid spacing to resolve the transitional or turbulent flow in the mixing tank.…”

Section: Introductionmentioning

confidence: 99%

“…The aim of this work is to establish grid‐independent simulations of solid–liquid flow that are high on solids loading (overall solids volume fraction of order 10%) with an unresolved—mapping‐based—particle approach. We use the same mapping procedure that was tested in a previous paper for fully periodic, three‐dimensional systems . This latter study allowed to compare average slip velocities and velocity fluctuation levels (of liquid and solids) obtained with particle‐unresolved procedures to fully resolved simulations of the same systems and thus benchmark/optimize the unresolved procedure.…”

Section: Introductionmentioning

confidence: 99%

“…We then summarize the simulation procedure and refer to the literature (e.g., Refs. ) for further details. In discussing the hindered settling results, we focus on the impact of model choices on the settling speed.…”

Section: Introductionmentioning

confidence: 99%

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Eulerian‐Lagrangian simulations of settling and agitated dense solid‐liquid suspensions – achieving grid convergence

Derksen

2018

AIChE Journal

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Eulerian‐Lagrangian simulations of solid–liquid flow have been performed. The volume‐averaged Navier‐Stokes equations have been solved by a variant of the lattice‐Boltzmann method; the solids dynamics by integrating Newton's second law for each individual particle. Solids and liquid are coupled via mapping functions. The application is solids suspension in a mixing tank operating in the transitional regime (the impeller‐based Reynolds number is 4000), an overall solids volume fraction of 10% and a particle–liquid combination with an Archimedes number of 30. In this application, the required grid resolution is dictated by the liquid flow and we thus need freedom to choose the particle size independent of the grid spacing. Preliminary hindered settling simulations show that the proposed Eulerian‐Lagrangian mapping strategy indeed offers this independence. The subsequent mixing tank simulations generate grid‐independent results. © 2018 American Institute of Chemical Engineers AIChE J, 64: 1147–1158, 2018

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“…In our previous work, it was shown that average slip velocities were virtually insensitive for the half‐width of the mapping function

λ

as long as

λ / d \geq 1.5

. The left panel of Figure confirms this for the current hindered settling simulations.…”

Section: Resultsmentioning

confidence: 99%

“…The choice of the width of the mapping function (

λ

) is worthwhile investigating. Earlier research suggests a value of

λ = 1.5 d

and we will be using this as our default choice. However, we will be looking into the effects of excursions from this choice.…”

Section: Flow Systems and Simulation Methodsmentioning

confidence: 99%

Δ

;

d = O true(Δ true)

. Where some, largely interpolation based, mapping methods require the mesh to be much wider than the particle size, there is recent development in mappings facilitating

d = O true(Δ true)

simulations . We need such mappings to have freedom in the choice of grid spacing to resolve the transitional or turbulent flow in the mixing tank.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Eulerian‐Lagrangian simulations of settling and agitated dense solid‐liquid suspensions – achieving grid convergence

Derksen

2018

AIChE Journal

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Liquid fluidization with cylindrical particles: Highly resolved simulations

Derksen

2019

AIChE Journal

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We perform three-dimensional, time-dependent simulations of dense, fluidized suspensions of solid cylindrical particles in a Newtonian liquid in fully periodic domains. The resolution of the flow field is an order of magnitude finer than the diameter of the cylindrical particles. At their surfaces no-slip conditions are applied through an immersed boundary method (IBM), coupled to the lattice-Boltzmann method that is used as the fluid flow solver. The marker points of the IBM are also used to detect and perform collisions between the cylinders. With these particle-resolved simulations, we study the effects of the aspect ratio of the cylinders and the solids volume fraction on the superficial slip velocity between fluid and solids, on the solids velocity fluctuations, as well as on the orientation of the cylinders. The aspect ratio (length over diameter of the cylinders) ranges from 0.5 to 4, the solids volume fraction goes up to 0.48. Reynolds numbers based on average settling velocity are of the order of 1-10. At constant Archimedes number, we observe only minor sensitivities of the settling Reynolds number on the aspect ratio.

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Experimental methods in chemical engineering: Unresolved CFD‐DEM

2020

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CFD‐DEM combines computational fluid dynamics (CFD), which solves the equation of motion of gas or liquids, with the discrete element method (DEM), a simulation technique based on a Lagrangian description of particle motion that predicts the flow of granular matter and powders. Resolved CFD‐DEM solves the fluid motion with CFD at a scale smaller than the particle diameter (d p), assuming no‐slip on the particle surface to couple the phases. The fluid solver scale is coarser than d p in unresolved CFD‐DEM and virtual mass, drag, and other solid‐fluid forces couple the phases. Resolved CFD‐DEM is more accurate, but is orders of magnitude more computationally intensive. Unresolved CFD‐DEM predicts solid distribution, pressure loss, mass flow rate, and dense and dilute phase flow patterns when the solid to fluid and fluid to solid coupling between the fluid phase and the solid phase are non‐trivial. Researchers apply CFD‐DEM to predict gas‐fluid dynamics of fluidized beds, spouted beds, hoppers, cyclones, costal erosion, and rock slides. Open source codes, commercial software, and parallel computer architectures have accelerated its adoption in pharmaceutical, agro‐industrial, and reactor design. Current research targets improving the solid‐fluid coupling strategies and multiphysics problems including heat transfer, mass transfer, and chemical reactions within or at the surface of the particles. The field has grown to over 200 indexed articles per year (Web of Science) in 2018. This article is part of a special series dedicated to experimental methods in chemical engineering that reviews the most important concepts, applications, and limitations of each technique.

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Assessing Eulerian–Lagrangian simulations of dense solid-liquid suspensions settling under gravity

Cited by 11 publications

References 26 publications

Eulerian‐Lagrangian simulations of settling and agitated dense solid‐liquid suspensions – achieving grid convergence

Eulerian‐Lagrangian simulations of settling and agitated dense solid‐liquid suspensions – achieving grid convergence

Liquid fluidization with cylindrical particles: Highly resolved simulations

Experimental methods in chemical engineering: Unresolved CFD‐DEM

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