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Numerical simulation of single rising bubbles influenced by soluble surfactant in the spherical and ellipsoidal regime

Steinhausen, Matthias (2018)
Numerical simulation of single rising bubbles influenced by soluble surfactant in the spherical and ellipsoidal regime.
Technische Universität Darmstadt
Masterarbeit, Erstveröffentlichung

Kurzbeschreibung (Abstract)

Surfactants are surface active agents that accumulate at fluid interfaces and influence interfacial properties, e.g. the surface tension. For single rising bubbles, even a small amount of surfactant causes Marangoni forces that influence the bubble rise significantly. In this work, Direct Numerical Simulations (DNS) with an Arbitrary Lagrangian-Eulerian (ALE) Interface-Tracking method are performed. The use of a subgrid-scale model enables the simulation of realistic time and length scales and the comparison with experiments. The resolution requirements close to the interface are examined using 2D simulations to reduce the computational costs further. Then, 3D simulations of single rising bubbles under the influence of Triton-X100 are carried out, investigating different bubble diameters and initial surfactant bulk concentrations. The 3D simulations provide new insights into the transition from a helical motion into a zig-zag motion, which can only be observed in the presence of a surfactant. Additionally, the reciprocal influence of the local surfactant distribution on the interface and the vortex structures for path-unstable bubbles are analysed. Finally, the local surfactant distribution on the interface is modelled using a data-driven approach. The model is based on the DNS data obtained from the 3D simulations and is in good agreement with the validation data. In future work, the derived model can be used to improve existing simplified models for the simulation of bubbly flows under the influence of surfactant.

Typ des Eintrags: Masterarbeit
Erschienen: 2018
Autor(en): Steinhausen, Matthias
Art des Eintrags: Erstveröffentlichung
Titel: Numerical simulation of single rising bubbles influenced by soluble surfactant in the spherical and ellipsoidal regime
Sprache: Englisch
Referenten: Bothe, Prof. Dr. Dieter ; Stephan, Prof. Dr. Peter
Publikationsjahr: 11 Dezember 2018
Ort: Darmstadt
Datum der mündlichen Prüfung: 11 Dezember 2018
URL / URN: https://tuprints.ulb.tu-darmstadt.de/8296
Kurzbeschreibung (Abstract):

Surfactants are surface active agents that accumulate at fluid interfaces and influence interfacial properties, e.g. the surface tension. For single rising bubbles, even a small amount of surfactant causes Marangoni forces that influence the bubble rise significantly. In this work, Direct Numerical Simulations (DNS) with an Arbitrary Lagrangian-Eulerian (ALE) Interface-Tracking method are performed. The use of a subgrid-scale model enables the simulation of realistic time and length scales and the comparison with experiments. The resolution requirements close to the interface are examined using 2D simulations to reduce the computational costs further. Then, 3D simulations of single rising bubbles under the influence of Triton-X100 are carried out, investigating different bubble diameters and initial surfactant bulk concentrations. The 3D simulations provide new insights into the transition from a helical motion into a zig-zag motion, which can only be observed in the presence of a surfactant. Additionally, the reciprocal influence of the local surfactant distribution on the interface and the vortex structures for path-unstable bubbles are analysed. Finally, the local surfactant distribution on the interface is modelled using a data-driven approach. The model is based on the DNS data obtained from the 3D simulations and is in good agreement with the validation data. In future work, the derived model can be used to improve existing simplified models for the simulation of bubbly flows under the influence of surfactant.

URN: urn:nbn:de:tuda-tuprints-82963
Fachbereich(e)/-gebiet(e): 04 Fachbereich Mathematik
04 Fachbereich Mathematik > Analysis
04 Fachbereich Mathematik > Analysis > Mathematische Modellierung und Analysis
04 Fachbereich Mathematik > Mathematische Modellierung und Analysis (MMA)
Hinterlegungsdatum: 23 Dez 2018 20:55
Letzte Änderung: 07 Feb 2024 11:55
PPN:
Referenten: Bothe, Prof. Dr. Dieter ; Stephan, Prof. Dr. Peter
Datum der mündlichen Prüfung / Verteidigung / mdl. Prüfung: 11 Dezember 2018
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