A Three-Dimensional Model of Turbulent Core Annular Flow Regime

In this study, three-dimensional (3D) turbulent core annular flow (CAF) regime is investigated numerically. The proposed model is based on the 3D Reynolds average Navier–Stokes (RANS) equations combined with a pure convective transport equation of the volume of fluid (VOF) to predict the interface b...

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Main Authors: Saliha Nouri, Zouhaier Hafsia, Salah Mahmoud Boulaaras, Ali Allahem, Salem Alkhalaf, Baowei Feng
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/5296700
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author Saliha Nouri
Zouhaier Hafsia
Salah Mahmoud Boulaaras
Ali Allahem
Salem Alkhalaf
Baowei Feng
author_facet Saliha Nouri
Zouhaier Hafsia
Salah Mahmoud Boulaaras
Ali Allahem
Salem Alkhalaf
Baowei Feng
author_sort Saliha Nouri
collection DOAJ
description In this study, three-dimensional (3D) turbulent core annular flow (CAF) regime is investigated numerically. The proposed model is based on the 3D Reynolds average Navier–Stokes (RANS) equations combined with a pure convective transport equation of the volume of fluid (VOF) to predict the interface between the oil and water phases. The k-ω turbulence model is adopted to better reproduce the oil and water flow characteristics. The two-phase (CAF) regime can be predicted by two inlet configurations: the T-junction (3D-T) and the straight pipe (3D-S). These two configurations are simulated and compared for pipe diameter D=0.026  m and pipe length L=4  m. For these two inlet configurations, the computed mixture velocity profile and the water volume fraction at a test section z=100 D were compared to experimental measurements. The 3D-T configuration gives more appropriate results. The 3D-S slightly overestimates the maximum velocity at the test section and the lower and upper water layer of the (CAF) flow is shifted in the upward direction. For the 3D-T, the relative error in the pressure drop is 3.3%. However, for the 3D-S, this error is 13.0%.
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issn 2314-4785
language English
publishDate 2021-01-01
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record_format Article
series Journal of Mathematics
spelling doaj-art-6c79f771e97b4b4897582db16882e8af2025-02-03T05:49:26ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/5296700A Three-Dimensional Model of Turbulent Core Annular Flow RegimeSaliha Nouri0Zouhaier Hafsia1Salah Mahmoud Boulaaras2Ali Allahem3Salem Alkhalaf4Baowei Feng5Department of PhysicsDepartment of PhysicsDepartment of MathematicsDepartment of MathematicsDepartment of Computer ScienceDepartment Economic MathematicsIn this study, three-dimensional (3D) turbulent core annular flow (CAF) regime is investigated numerically. The proposed model is based on the 3D Reynolds average Navier–Stokes (RANS) equations combined with a pure convective transport equation of the volume of fluid (VOF) to predict the interface between the oil and water phases. The k-ω turbulence model is adopted to better reproduce the oil and water flow characteristics. The two-phase (CAF) regime can be predicted by two inlet configurations: the T-junction (3D-T) and the straight pipe (3D-S). These two configurations are simulated and compared for pipe diameter D=0.026  m and pipe length L=4  m. For these two inlet configurations, the computed mixture velocity profile and the water volume fraction at a test section z=100 D were compared to experimental measurements. The 3D-T configuration gives more appropriate results. The 3D-S slightly overestimates the maximum velocity at the test section and the lower and upper water layer of the (CAF) flow is shifted in the upward direction. For the 3D-T, the relative error in the pressure drop is 3.3%. However, for the 3D-S, this error is 13.0%.http://dx.doi.org/10.1155/2021/5296700
spellingShingle Saliha Nouri
Zouhaier Hafsia
Salah Mahmoud Boulaaras
Ali Allahem
Salem Alkhalaf
Baowei Feng
A Three-Dimensional Model of Turbulent Core Annular Flow Regime
Journal of Mathematics
title A Three-Dimensional Model of Turbulent Core Annular Flow Regime
title_full A Three-Dimensional Model of Turbulent Core Annular Flow Regime
title_fullStr A Three-Dimensional Model of Turbulent Core Annular Flow Regime
title_full_unstemmed A Three-Dimensional Model of Turbulent Core Annular Flow Regime
title_short A Three-Dimensional Model of Turbulent Core Annular Flow Regime
title_sort three dimensional model of turbulent core annular flow regime
url http://dx.doi.org/10.1155/2021/5296700
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