Void fraction influence on added mass in a bubbly flow
This paper proposes a relation for the added mass coefficient of spherical bubbles depending on void fraction based on results obtained by a semi-analytical method. This information is essential to completely characterize finely dispersed bubbly flows, where small spherical gas bubbles are present i...
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| Veröffentlicht in: | European journal of mechanics, B, Fluids B, Fluids, 2016-03, Vol.56, p.28-45 |
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| container_title | European journal of mechanics, B, Fluids |
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| creator | Beguin, C Pelletier, E Etienne, S |
| description | This paper proposes a relation for the added mass coefficient of spherical bubbles depending on void fraction based on results obtained by a semi-analytical method.
This information is essential to completely characterize finely dispersed bubbly flows, where small spherical gas bubbles are present in a continuous liquid phase. Most of the closure relations for Euler–Euler or Euler–Lagrange models are obtained from experiments involving single bubbles. Their applicability to systems with high void fraction is therefore questionable.
This paper uses solid harmonics to solve 3D potential flow around bubbles. Several configurations were calculated for different numbers of particles and spatial configurations. Our results are compared with previous studies. Depending on the model proposed by previous authors, added mass forces could increase or decrease with void fraction. This paper solves these discrepancies by underlining the effect of induced added mass.
The main purpose of this work is to develop simple formulas fitting our semi-analytical results. These simple formulas are suitable for further use, particularly as added mass models for multiphase flow averaged equations. |
| doi_str_mv | 10.1016/j.euromechflu.2015.11.008 |
| format | Article |
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This information is essential to completely characterize finely dispersed bubbly flows, where small spherical gas bubbles are present in a continuous liquid phase. Most of the closure relations for Euler–Euler or Euler–Lagrange models are obtained from experiments involving single bubbles. Their applicability to systems with high void fraction is therefore questionable.
This paper uses solid harmonics to solve 3D potential flow around bubbles. Several configurations were calculated for different numbers of particles and spatial configurations. Our results are compared with previous studies. Depending on the model proposed by previous authors, added mass forces could increase or decrease with void fraction. This paper solves these discrepancies by underlining the effect of induced added mass.
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This information is essential to completely characterize finely dispersed bubbly flows, where small spherical gas bubbles are present in a continuous liquid phase. Most of the closure relations for Euler–Euler or Euler–Lagrange models are obtained from experiments involving single bubbles. Their applicability to systems with high void fraction is therefore questionable.
This paper uses solid harmonics to solve 3D potential flow around bubbles. Several configurations were calculated for different numbers of particles and spatial configurations. Our results are compared with previous studies. Depending on the model proposed by previous authors, added mass forces could increase or decrease with void fraction. This paper solves these discrepancies by underlining the effect of induced added mass.
The main purpose of this work is to develop simple formulas fitting our semi-analytical results. These simple formulas are suitable for further use, particularly as added mass models for multiphase flow averaged equations.</description><subject>Added mass</subject><subject>Bubbles</subject><subject>Bubbly flow</subject><subject>Computational fluid dynamics</subject><subject>Formulas (mathematics)</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Multiphase flow</subject><subject>Potential flow</subject><subject>Three dimensional</subject><subject>Void fraction</subject><issn>0997-7546</issn><issn>1873-7390</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNqNkE1LxDAQhoMouK7-h3rz0jpp2nwcZfELFryo15BNJpilbdakVfbf22U9ePQ0zPC-D8xDyDWFigLlt9sKpxR7tB--m6oaaFtRWgHIE7KgUrBSMAWnZAFKiVK0DT8nFzlvAaCpGV8Q_h6DK3wydgxxKMIwY3CwWMyLcQ5d0Zuc53this202XT7wnfx-5KcedNlvPqdS_L2cP-6eirXL4_Pq7t1aVnbjCVjEp3gsuFOMWUYbetGQcOkaD3nHqgVrLXIqFc1WOWF9N5b52qHvjVCsSW5OXJ3KX5OmEfdh2yx68yAccqaSpDAm1ryOaqOUZtizgm93qXQm7TXFPTBld7qP670wZWmVM-u5u7q2MX5l6-ASWcbDhpcSGhH7WL4B-UHvzx3lg</recordid><startdate>20160301</startdate><enddate>20160301</enddate><creator>Beguin, C</creator><creator>Pelletier, E</creator><creator>Etienne, S</creator><general>Elsevier Masson SAS</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0001-9855-9264</orcidid></search><sort><creationdate>20160301</creationdate><title>Void fraction influence on added mass in a bubbly flow</title><author>Beguin, C ; Pelletier, E ; Etienne, S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c354t-338ed76846d939a315249043875f66f01c735ce31f920c9f78fffcdd2def5a793</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Added mass</topic><topic>Bubbles</topic><topic>Bubbly flow</topic><topic>Computational fluid dynamics</topic><topic>Formulas (mathematics)</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Multiphase flow</topic><topic>Potential flow</topic><topic>Three dimensional</topic><topic>Void fraction</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Beguin, C</creatorcontrib><creatorcontrib>Pelletier, E</creatorcontrib><creatorcontrib>Etienne, S</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>European journal of mechanics, B, Fluids</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Beguin, C</au><au>Pelletier, E</au><au>Etienne, S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Void fraction influence on added mass in a bubbly flow</atitle><jtitle>European journal of mechanics, B, Fluids</jtitle><date>2016-03-01</date><risdate>2016</risdate><volume>56</volume><spage>28</spage><epage>45</epage><pages>28-45</pages><issn>0997-7546</issn><eissn>1873-7390</eissn><abstract>This paper proposes a relation for the added mass coefficient of spherical bubbles depending on void fraction based on results obtained by a semi-analytical method.
This information is essential to completely characterize finely dispersed bubbly flows, where small spherical gas bubbles are present in a continuous liquid phase. Most of the closure relations for Euler–Euler or Euler–Lagrange models are obtained from experiments involving single bubbles. Their applicability to systems with high void fraction is therefore questionable.
This paper uses solid harmonics to solve 3D potential flow around bubbles. Several configurations were calculated for different numbers of particles and spatial configurations. Our results are compared with previous studies. Depending on the model proposed by previous authors, added mass forces could increase or decrease with void fraction. This paper solves these discrepancies by underlining the effect of induced added mass.
The main purpose of this work is to develop simple formulas fitting our semi-analytical results. These simple formulas are suitable for further use, particularly as added mass models for multiphase flow averaged equations.</abstract><pub>Elsevier Masson SAS</pub><doi>10.1016/j.euromechflu.2015.11.008</doi><tpages>18</tpages><orcidid>https://orcid.org/0000-0001-9855-9264</orcidid></addata></record> |
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| subjects | Added mass Bubbles Bubbly flow Computational fluid dynamics Formulas (mathematics) Mathematical analysis Mathematical models Multiphase flow Potential flow Three dimensional Void fraction |
| title | Void fraction influence on added mass in a bubbly flow |
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