Numerical modeling of oscillating Taylor bubbles

In this study, computational fluid dynamics (CFD) modeling is used to simulate Taylor bubbles rising in vertical pipes. Experiments indicate that in large diameter (0.29 m) pipes for an air–water system, the bubbles can rise in a oscillatory manner, depending on the method of air injection. The CFD...

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Main Authors: Ambrose, S., Hargreaves, David, Lowndes, Ian
Format: Article
Published: Taylor & Francis 2016
Subjects:
Online Access:https://eprints.nottingham.ac.uk/37615/
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author Ambrose, S.
Hargreaves, David
Lowndes, Ian
author_facet Ambrose, S.
Hargreaves, David
Lowndes, Ian
author_sort Ambrose, S.
building Nottingham Research Data Repository
collection Online Access
description In this study, computational fluid dynamics (CFD) modeling is used to simulate Taylor bubbles rising in vertical pipes. Experiments indicate that in large diameter (0.29 m) pipes for an air–water system, the bubbles can rise in a oscillatory manner, depending on the method of air injection. The CFD models are able to capture this oscillatory behavior because the air phase is modeled as a compressible ideal gas. Insights into the flow field ahead and behind the bubble during contraction and expansion are shown. For a bubble with an initial pressure equal to the hydrostatic pressure at its nose, no oscillations are seen in the bubble as it rises. If the initial pressure in the bubble is set less than or greater than the hydrostatic pressure then the length of the bubble oscillates with an amplitude that depends on the magnitude of the initial bubble pressure relative to the hydrostatic pressure. The frequency of the oscillations is inversely proportional to the square root of the head of water above the bubble and so the frequency increases as the bubble approaches the water surface. The predicted frequency also depends inversely on the square root of the average bubble length, in agreement with experimental observations and an analytical model that is also presented. In this model, a viscous damping term due to the presence of a Stokes boundary layer for the oscillating cases is introduced for the first time and used to assess the effect on the oscillations of increasing the liquid viscosity by several orders of magnitude.
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spelling nottingham-376152020-05-04T18:11:25Z https://eprints.nottingham.ac.uk/37615/ Numerical modeling of oscillating Taylor bubbles Ambrose, S. Hargreaves, David Lowndes, Ian In this study, computational fluid dynamics (CFD) modeling is used to simulate Taylor bubbles rising in vertical pipes. Experiments indicate that in large diameter (0.29 m) pipes for an air–water system, the bubbles can rise in a oscillatory manner, depending on the method of air injection. The CFD models are able to capture this oscillatory behavior because the air phase is modeled as a compressible ideal gas. Insights into the flow field ahead and behind the bubble during contraction and expansion are shown. For a bubble with an initial pressure equal to the hydrostatic pressure at its nose, no oscillations are seen in the bubble as it rises. If the initial pressure in the bubble is set less than or greater than the hydrostatic pressure then the length of the bubble oscillates with an amplitude that depends on the magnitude of the initial bubble pressure relative to the hydrostatic pressure. The frequency of the oscillations is inversely proportional to the square root of the head of water above the bubble and so the frequency increases as the bubble approaches the water surface. The predicted frequency also depends inversely on the square root of the average bubble length, in agreement with experimental observations and an analytical model that is also presented. In this model, a viscous damping term due to the presence of a Stokes boundary layer for the oscillating cases is introduced for the first time and used to assess the effect on the oscillations of increasing the liquid viscosity by several orders of magnitude. Taylor & Francis 2016-09-20 Article PeerReviewed Ambrose, S., Hargreaves, David and Lowndes, Ian (2016) Numerical modeling of oscillating Taylor bubbles. Engineering Applications of Computational Fluid Mechanics, 10 (1). pp. 580-600. ISSN 1997-003X Numerical simulation; Taylor bubble; bubble rise; oscillations; stokes boundary layer http://www.tandfonline.com/doi/full/10.1080/19942060.2016.1224737 doi:10.1080/19942060.2016.1224737 doi:10.1080/19942060.2016.1224737
spellingShingle Numerical simulation; Taylor bubble; bubble rise; oscillations; stokes boundary layer
Ambrose, S.
Hargreaves, David
Lowndes, Ian
Numerical modeling of oscillating Taylor bubbles
title Numerical modeling of oscillating Taylor bubbles
title_full Numerical modeling of oscillating Taylor bubbles
title_fullStr Numerical modeling of oscillating Taylor bubbles
title_full_unstemmed Numerical modeling of oscillating Taylor bubbles
title_short Numerical modeling of oscillating Taylor bubbles
title_sort numerical modeling of oscillating taylor bubbles
topic Numerical simulation; Taylor bubble; bubble rise; oscillations; stokes boundary layer
url https://eprints.nottingham.ac.uk/37615/
https://eprints.nottingham.ac.uk/37615/
https://eprints.nottingham.ac.uk/37615/