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Computational analysis of single rising bubbles influenced by soluble surfactant

Published online by Cambridge University Press:  09 October 2018

Chiara Pesci Open the ORCID record for Chiara Pesci [Opens in a new window] ,
Andre Weiner ,
Holger Marschall  and
Dieter Bothe
Chiara Pesci
Affiliation:
Mathematical Modelling and Analysis, Technische Universität Darmstadt, Darmstadt, 64287, Germany
Andre Weiner
Affiliation:
Mathematical Modelling and Analysis, Technische Universität Darmstadt, Darmstadt, 64287, Germany
Holger Marschall
Affiliation:
Mathematical Modelling and Analysis, Technische Universität Darmstadt, Darmstadt, 64287, Germany
Dieter Bothe*
Affiliation:
Mathematical Modelling and Analysis, Technische Universität Darmstadt, Darmstadt, 64287, Germany
*
†Email address for correspondence: bothe@mma.tu-darmstadt.de
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Abstract

This paper presents novel insights into the influence of soluble surfactants on bubble flows obtained by direct numerical simulation (DNS). Surfactants are amphiphilic compounds which accumulate at fluid interfaces and significantly modify the respective interfacial properties, influencing also the overall dynamics of the flow. With the aid of DNS, local quantities like the surfactant distribution on the bubble surface can be accessed for a better understanding of the physical phenomena occurring close to the interface. The core part of the physical model consists of the description of the surfactant transport in the bulk and on the deformable interface. The solution procedure is based on an arbitrary Lagrangian–Eulerian (ALE) interface-tracking method. The existing methodology was enhanced to describe a wider range of physical phenomena. A subgrid-scale (SGS) model is employed in the cases where a fully resolved DNS for the species transport is not feasible due to high mesh resolution requirements and, therefore, high computational costs. After an exhaustive validation of the latest numerical developments, the DNS of single rising bubbles in contaminated solutions is compared to experimental results. The full velocity transients of the rising bubbles, especially the contaminated ones, are correctly reproduced by the DNS. The simulation results are then studied to gain a better understanding of the local bubble dynamics under the effect of soluble surfactant. One of the main insights is that the quasi-steady state of the rise velocity is reached without ad- and desorption being necessarily in equilibrium.

JFM classification

Boundary Layers: Boundary Layers Drops and Bubbles: Bubble dynamics Multiphase and Particle-laden Flows: Multiphase flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 856 , 10 December 2018 , pp. 709 - 763
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Copyright
© 2018 Cambridge University Press 

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