Liquid-Liquid Flow Pattern Prediction Using Relevant Dimensionless Parameter Groups

Accurate predictions of flow patterns in liquid-liquid flow are critical to the successful design and operation of industrial and geo-energy systems where two liquids are jointly transported. Unfortunately, there is no unified flow pattern map, because all published maps are based on limited ranges...

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Main Authors: Olusegun Samson Osundare, Gioia Falcone, Liyun Lao, Alexander Elliott
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/17/4355
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author Olusegun Samson Osundare
Gioia Falcone
Liyun Lao
Alexander Elliott
author_facet Olusegun Samson Osundare
Gioia Falcone
Liyun Lao
Alexander Elliott
author_sort Olusegun Samson Osundare
collection DOAJ
description Accurate predictions of flow patterns in liquid-liquid flow are critical to the successful design and operation of industrial and geo-energy systems where two liquids are jointly transported. Unfortunately, there is no unified flow pattern map, because all published maps are based on limited ranges of dimensional parameters. Dimensional analysis was performed on oil-water horizontal flows, to obtain some relevant dimensionless parameter groups (DPG) for constructing flow pattern maps (FPM). The following combinations of DPG were used: (i) the ratio of mixture Reynolds number to Eötvös number versus water fraction, (ii) the ratio of Weber number to Eötvös number versus water fraction, (iii) the mixture Froude number versus water fraction, (iv) the water Froude number versus oil Froude number, (v) the ratio of gravity force to viscous force versus water fraction. From twelve published experimental studies, 2696 data points were gathered and analysed covering a variety of flow patterns including stratified, stratified mixed, dispersed oil in water, dispersed water in oil, annular and slug flows. Based on the performed analysis, it was found that flow patterns could occupy more than one isolated region on the DPG-based flow pattern map. None of the combinations of DPG can mark out all the considered flow patterns, however, some combinations of DPG are particularly suitable for marking out the regions associated with some flow patterns.
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spelling doaj.art-125e38ff09c940ebaf07b3a77125d9f12023-11-20T11:08:10ZengMDPI AGEnergies1996-10732020-08-011317435510.3390/en13174355Liquid-Liquid Flow Pattern Prediction Using Relevant Dimensionless Parameter GroupsOlusegun Samson Osundare0Gioia Falcone1Liyun Lao2Alexander Elliott3James Watt School of Engineering, University of Glasgow, Glasgow G12 8QQ, UKJames Watt School of Engineering, University of Glasgow, Glasgow G12 8QQ, UKCentre for Thermal Energy Systems and Materials, Cranfield University, Bedford MK43 0AL, UKJames Watt School of Engineering, University of Glasgow, Glasgow G12 8QQ, UKAccurate predictions of flow patterns in liquid-liquid flow are critical to the successful design and operation of industrial and geo-energy systems where two liquids are jointly transported. Unfortunately, there is no unified flow pattern map, because all published maps are based on limited ranges of dimensional parameters. Dimensional analysis was performed on oil-water horizontal flows, to obtain some relevant dimensionless parameter groups (DPG) for constructing flow pattern maps (FPM). The following combinations of DPG were used: (i) the ratio of mixture Reynolds number to Eötvös number versus water fraction, (ii) the ratio of Weber number to Eötvös number versus water fraction, (iii) the mixture Froude number versus water fraction, (iv) the water Froude number versus oil Froude number, (v) the ratio of gravity force to viscous force versus water fraction. From twelve published experimental studies, 2696 data points were gathered and analysed covering a variety of flow patterns including stratified, stratified mixed, dispersed oil in water, dispersed water in oil, annular and slug flows. Based on the performed analysis, it was found that flow patterns could occupy more than one isolated region on the DPG-based flow pattern map. None of the combinations of DPG can mark out all the considered flow patterns, however, some combinations of DPG are particularly suitable for marking out the regions associated with some flow patterns.https://www.mdpi.com/1996-1073/13/17/4355oil-waterflow regimegeo-energydimensionless numbersoil-viscositypipe diameter
spellingShingle Olusegun Samson Osundare
Gioia Falcone
Liyun Lao
Alexander Elliott
Liquid-Liquid Flow Pattern Prediction Using Relevant Dimensionless Parameter Groups
Energies
oil-water
flow regime
geo-energy
dimensionless numbers
oil-viscosity
pipe diameter
title Liquid-Liquid Flow Pattern Prediction Using Relevant Dimensionless Parameter Groups
title_full Liquid-Liquid Flow Pattern Prediction Using Relevant Dimensionless Parameter Groups
title_fullStr Liquid-Liquid Flow Pattern Prediction Using Relevant Dimensionless Parameter Groups
title_full_unstemmed Liquid-Liquid Flow Pattern Prediction Using Relevant Dimensionless Parameter Groups
title_short Liquid-Liquid Flow Pattern Prediction Using Relevant Dimensionless Parameter Groups
title_sort liquid liquid flow pattern prediction using relevant dimensionless parameter groups
topic oil-water
flow regime
geo-energy
dimensionless numbers
oil-viscosity
pipe diameter
url https://www.mdpi.com/1996-1073/13/17/4355
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AT liyunlao liquidliquidflowpatternpredictionusingrelevantdimensionlessparametergroups
AT alexanderelliott liquidliquidflowpatternpredictionusingrelevantdimensionlessparametergroups