Scaling parameters of bubbles and drops; interpretation and case study with air in silicon oil
Buoyancy-driven bubbles and drops are deformable and exhibit different boundaries from mobile to immobile. Owing to the complexity of these flows, the literature knows various scaling parameters for their description. This paper determines a set of parameters on the basis of the force balance equati...
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| Veröffentlicht in: | Acta mechanica 2011-07, Vol.219 (3-4), p.189-202 |
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| container_title | Acta mechanica |
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| creator | Peters, Franz Gaertner, Björn |
| description | Buoyancy-driven bubbles and drops are deformable and exhibit different boundaries from mobile to immobile. Owing to the complexity of these flows, the literature knows various scaling parameters for their description. This paper determines a set of parameters on the basis of the force balance equations. It identifies the Archimedes number as the leading parameter while the Reynolds number is considered a flow variable. This ordering scheme of parameters is applied to a set of new data on bubbles rising in five different silicon oils. Data representation and limiting cases come out consistently. The use of the Archimedes number leads even to a successful simple model for the normalized rise velocity. |
| doi_str_mv | 10.1007/s00707-010-0431-5 |
| format | Article |
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interpretation and case study with air in silicon oil</title><author>Peters, Franz ; Gaertner, Björn</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c416t-8b3500825508ecefceba39e2d1a9685f4e7837aed6f29df4206de9280b676c853</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Analysis</topic><topic>Boundaries</topic><topic>Bubbles</topic><topic>Buoyancy</topic><topic>Case studies</topic><topic>Classical and Continuum Physics</topic><topic>Computational fluid dynamics</topic><topic>Constraining</topic><topic>Control</topic><topic>Drops and bubbles</topic><topic>Dynamical Systems</topic><topic>Engineering</topic><topic>Engineering Thermodynamics</topic><topic>Exact sciences and technology</topic><topic>Flow velocity</topic><topic>Fluid dynamics</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Heat and Mass Transfer</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Nonhomogeneous flows</topic><topic>Physics</topic><topic>Reynolds number</topic><topic>Silicon</topic><topic>Solid Mechanics</topic><topic>Theoretical and Applied Mechanics</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Peters, Franz</creatorcontrib><creatorcontrib>Gaertner, Björn</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>ProQuest Pharma Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>ProQuest Central (New)</collection><collection>ProQuest One Academic (New)</collection><collection>ProQuest One Academic Middle East (New)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Applied & Life Sciences</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><collection>DELNET Engineering & Technology Collection</collection><jtitle>Acta mechanica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Peters, Franz</au><au>Gaertner, Björn</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Scaling parameters of bubbles and drops; 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Owing to the complexity of these flows, the literature knows various scaling parameters for their description. This paper determines a set of parameters on the basis of the force balance equations. It identifies the Archimedes number as the leading parameter while the Reynolds number is considered a flow variable. This ordering scheme of parameters is applied to a set of new data on bubbles rising in five different silicon oils. Data representation and limiting cases come out consistently. The use of the Archimedes number leads even to a successful simple model for the normalized rise velocity.</abstract><cop>Vienna</cop><pub>Springer Vienna</pub><doi>10.1007/s00707-010-0431-5</doi><tpages>14</tpages></addata></record> |
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| subjects | Analysis Boundaries Bubbles Buoyancy Case studies Classical and Continuum Physics Computational fluid dynamics Constraining Control Drops and bubbles Dynamical Systems Engineering Engineering Thermodynamics Exact sciences and technology Flow velocity Fluid dynamics Fundamental areas of phenomenology (including applications) Heat and Mass Transfer Mathematical analysis Mathematical models Nonhomogeneous flows Physics Reynolds number Silicon Solid Mechanics Theoretical and Applied Mechanics Vibration |
| title | Scaling parameters of bubbles and drops; interpretation and case study with air in silicon oil |
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