Transient rise velocity and mass transfer of a single drop with interfacial instabilities—Numerical investigations

Wegener, M.; Eppinger, Thomas; Bäumler, Kathrin; Kraume, Matthias; Paschedag, Anja R.; Bänsch, Eberhard

doi:10.1016/j.ces.2009.07.023

Cited by 48 publications

(34 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…20 To authors' best knowledge, only a few numerical simulations of the Marangoni effect induced by interphase mass transfer to/from drops were ever reported. [21][22][23][24] However, the results by Mao and Chen 21 and Wang et al 22 have not been validated by experimental results, and the shape of the drop is presumed to be spherical. Wang et al 22 relaxed the restriction of the sphericity but the object of the simulation remained quite general.…”

Section: Introductionmentioning

confidence: 92%

“…Wang et al 22 relaxed the restriction of the sphericity but the object of the simulation remained quite general. Wegener et al 24 simulated fluid dynamics and mass transfer in the Marangoni convection dominated toluene/acetone/water system using the commercial CFD-code STAR-CD on an unstructured grid in a spherical coordinate with the assumption that the drop was spherical and the deformation of drop was ignored. However, besides at much small Reynolds numbers, the moving drop is often deformable in real systems and significant shape change may be caused by the Marangoni effect.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical simulation of the Marangoni effect on transient mass transfer from single moving deformable drops

Wang

Lü

et al. 2011

AIChE Journal

View full text Add to dashboard Cite

A level set approach was adopted in numerical simulation of interphase mass transfer from a deformable drop moving in a continuous immiscible liquid, and the simulation results on Marangoni effect were presented with respect to three experimental runs in the methyl isobutyl ketone-acetic acid-water system. Experiments showed that when the solute concentration was sufficiently high, the Marangoni effect would occur with the interphase mass transfer enhanced. Numerical results indicated that the masstransfer coefficient with Marangoni effect was larger than that without Marangoni effect and stronger Marangoni effect made the drop deform more easily. The predictions were qualitatively in accord with the experimental data. Numerical simulation revealed well the transient flow structure of Marangoni effect. V

show abstract

Section: Introductionmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Numerical simulation of the Marangoni effect on transient mass transfer from single moving deformable drops

Wang

Lü

et al. 2011

AIChE Journal

View full text Add to dashboard Cite

show abstract

“…Since then, the thermocapillary migration of a bubble has been studied extensively by a series of theoretical analyses [3][4][5][6], numerical simulations [7][8][9][10] and experimental investigations [11]. In the mean time, several numerical techniques for treating the two-phase flow, such as the front-tracking method [12,13] and the level-set method [14], have also been developed, which may provide effective techniques to directly investigate thermocapillary migration processes of bubbles or droplets [15][16][17][18], interfacial mass transfer [19,20] and interfacial flows with soluble surfactants [21,22].…”

Section: Introductionmentioning

confidence: 99%

Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers

2011

Acta Mech

View full text Add to dashboard Cite

Thermocapillary migration of a planar non-deformable droplet in flow fields with two uniform temperature gradients at moderate and large Marangoni numbers is studied numerically by using the front-tracking method. It is observed that the thermocapillary motion of planar droplets in the uniform temperature gradients is steady at moderate Marangoni numbers, but unsteady at large Marangoni numbers. The instantaneous migration velocity at a fixed migration distance decreases with increasing Marangoni numbers. The simulation results of the thermocapillary droplet migration at large Marangoni numbers are found in qualitative agreement with those of experimental investigations. Moreover, the results concerned with steady and unsteady migration processes are further confirmed by comparing the variations of temperature fields inside and outside the droplet. It is evident that at large Marangoni numbers the weak transport of thermal energy from outside of the droplet into inside cannot satisfy the condition of a steady migration process, which implies that the advection around the droplet is a more significant mechanism for heat transfer across/around the droplet at large Ma numbers. Furthermore, from the condition of overall steady-state energy balance in the flow domain, the thermal flux across its surface is studied for a steady thermocapillary droplet migration in a flow field with uniform temperature gradient. By using the asymptotic expansion method, a non-conservative integral thermal flux across the surface is identified in the steady thermocapillary droplet migration at large Marangoni numbers. This non-conservative flux may well result from the invalid assumption of a quasi-steady state, which indicates that the thermocapillary droplet migration at large Marangoni numbers cannot reach a steady state and is thus an unsteady process.

show abstract

“…Many studies have developed a series of correlation models on terminal drop velocities using unpurified (e.g., Hu and Kintner, 1955;Klee and Treybal, 1956) and purified systems (Griffith, 1962;Winnikow and Chao, 1966;Thorsen et al, 1968;Grant, 1971, 1972;Levan and Newman, 1976;Hatanaka et al, 1988;Li et al, 2003). Wegener et al (2007Wegener et al ( , 2009aWegener et al ( , 2010, and Wegener and Paschedag (2011) have conducted a series of theoretical studies on fluid dynamic behavior. The influence of Marangoni convection on the terminal velocity of a drop has been reported (Schulze and Kraume, 2001;Wegener et al, 2009b;Wegener, 2014).…”

Section: Introductionmentioning

confidence: 99%

“…Burghoff and Kenig (2006) performed simulations considering Marangoni convection and cross-effects of multicomponent diffusion using the computational fluid dynamic (CFD) method. 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.…”

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

View full text Add to dashboard Cite

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.

show abstract

Transient rise velocity and mass transfer of a single drop with interfacial instabilities—Numerical investigations

Cited by 48 publications

References 27 publications

Numerical simulation of the Marangoni effect on transient mass transfer from single moving deformable drops

Numerical simulation of the Marangoni effect on transient mass transfer from single moving deformable drops

Thermocapillary migration of a planar droplet at moderate and large Marangoni numbers

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

Contact Info

Product

Resources

About