Validated simulation of droplet sedimentation with finite-element and level-set methods

Bertakis, Evangelos; Groß, Sven; Grande, Jörg; Fortmeier, Oliver; Reusken, Arnold; Pfennig, Andreas

doi:10.1016/j.ces.2009.11.043

Cited by 47 publications

(61 citation statements)

References 61 publications

(65 reference statements)

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“…Throughout this article, we follow the overall setting reported in [1] in which the solvent extraction standard-test system of n-butanol droplets sedimenting in water is considered [16]. The experimental setup is schematically depicted in Fig.…”

Section: Numerical Simulation Of Droplets Sedimenting In Watermentioning

confidence: 99%

“…In Fig. 2, the simulated position and velocity are depicted for a droplet of the same radius showing the oscillating behavior [1]. The numerical simulation is based on the following computational model originally introduced in [20].…”

Section: Numerical Simulation Of Droplets Sedimenting In Watermentioning

confidence: 99%

“…In Sect. 2, we sketch a particular two-phase flow problem which is detailed in [1]. This section also includes the underlying mathematical model.…”

Section: Introductionmentioning

confidence: 99%

“…To develop predictive models for such extraction columns, the study of single droplets is important. At RWTH Aachen University, an interdisciplinary team of researchers from engineering, mathematics and computer science is interested in analyzing the behavior of single droplets in surrounding liquids [1,8,9,15]. These flow problems involve two spatial regions that vary with time.…”

Section: Introductionmentioning

confidence: 99%

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A Parallel Strategy for a Level Set Simulation of Droplets Moving in a Liquid Medium

Fortmeier

Bücker

2011

Lecture Notes in Computer Science

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Abstract. The simulation of two-phase flow problems involving two time-dependent spatial regions with different physical properties is computationally hard. The numerical solution of such problems is complicated by the need to represent the movement of the interface. The level set approach is a front-capturing method representing the position of the interface implicitly by the root of a suitably defined function. We describe a parallel adaptive finite element simulation based on the level set approach. For freely sedimenting n-butanol droplets in water, we quantify the parallel performance on a Xeon-based cluster using up to 256 processes.

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Section: Numerical Simulation Of Droplets Sedimenting In Watermentioning

confidence: 99%

Section: Numerical Simulation Of Droplets Sedimenting In Watermentioning

confidence: 99%

“…In Sect. 2, we sketch a particular two-phase flow problem which is detailed in [1]. This section also includes the underlying mathematical model.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Parallel Strategy for a Level Set Simulation of Droplets Moving in a Liquid Medium

Fortmeier

Bücker

2011

Lecture Notes in Computer Science

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“…Wegener et al (2009a) simulated the unsteady mass transfer and transient drop rise velocity using the commercial CFD-code STAR-CD method. Bäumler et al (2011), Bertakis et al (2010), and Eiswirth et al (2011) performed numerical and experimental investigations into the droplet fluid dynamic behavior of n-butyl acetate/water, n-butanol/water, and toluene/ water systems, respectively. Wang et al (2013) simulated the mass transfer and Marangoni convection effects during droplet formation using level-set-based CFD code.…”

Section: Introductionmentioning

confidence: 99%

VOF Simulation Studies on Single Droplet Fluid Dynamic Behavior in Liquid–Liquid Flow Process

Huang

Wang

2018

J. Chem. Eng. Japan / JCEJ

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The uid dynamic behavior of a drop during a freely rising process is investigated using the volume of uid (VOF) method in conjunction with the continuum surface force (CSF) model. A two-dimensional computational uid dynamic model is used to describe the mass and momentum transport. Measurements of the rise velocity and the aspect ratio for the toluene/water system without mass transfer for diameters ranging from 3-5 mm were obtained using a high-speed camera. The simulation results showed excellent agreement with the experimental data. The e ects of the physical properties on the drop rising velocities, aspect ratios, and coalescence behavior of two coaxial drops are also simulated and analyzed. The simulation results show that the laws for the variation of the uid dynamic behavior with the physical properties of a system provide important guidelines for the design and operation in a liquid-liquid column.

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Liquid–Liquid Extraction

Pfennig*,

Müller,

Berger

et al. 2024

Ullmann's Encyclopedia of Industrial Chemistry

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The article contains sections titled: 1 Fundamentals and Fields of Application 2 Thermodynamic Fundamentals 2.1 Graphic Representation of Phase Equilibria 2.1.1 Triangular Diagrams 2.1.2 Other Graphic Representations 2.2 Measuring Methods of Phase Equilibria 2.3 Correlation of Phase Equilibria 2.4 Selection of Solvent 2.5 Determination of Mass‐Transfer Performance 2.5.1 Specific Methods for Determining the Number of Theoretical Stages 2.5.2 Determining Equipment Behavior Based on Drop‐Population Balances 2.5.3 Evaluation of Stage‐Number Calculation for Process Design 3 Apparatus 3.1 Survey 3.1.1 Columns Without Energy Input 3.1.2 Pulsed Columns 3.1.3 Columns with Rotating Internals 3.1.4 Mixer‐settlers 3.1.5 Centrifugal Extractors 3.2 Fluid‐Dynamic Fundamentals 3.2.1 Problems and Process Strategy 3.2.2 Operating Characteristics of Pulsed Columns and Columns with Rotating Internals 3.2.3 Fluid‐Dynamic Calculation Methods 3.3 Apparatus Design 3.3.1 Internals and Operating Conditions 3.3.2 Column Diameter 3.3.3 Column Height 3.4 Criteria for Equipment Selection 4 Phase‐Separation Equipment 4.1 Gravity Settlers Without Internals 4.2 Settlers with Coalescing Aids 4.3 Problems of Phase Separation 5 Liquid–Liquid Extraction Processes 5.1 General 5.2 Combined Processes of Extraction and Distillation 5.3 Reactive Extraction 5.3.1 Introduction 5.3.2 Extraction Mechanism of Different Types of Solvents 5.3.3 Diluents and Modifiers 5.3.4 Uses 5.3.5 Reaction‐Equilibrium Fundamentals 5.3.6 Setting up an Extraction System Acknowledgment References

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Validated simulation of droplet sedimentation with finite-element and level-set methods

Cited by 47 publications

References 61 publications

A Parallel Strategy for a Level Set Simulation of Droplets Moving in a Liquid Medium

A Parallel Strategy for a Level Set Simulation of Droplets Moving in a Liquid Medium

VOF Simulation Studies on Single Droplet Fluid Dynamic Behavior in Liquid–Liquid Flow Process

Liquid–Liquid Extraction

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