Characterization of Bubble Shapes in Non‐Newtonian Fluids by Parametric Equations
Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio (E) and two parameters (α, β) was proposed and proved to be capable of characterizing the bubble shape from spherical/ellipsoidal to prolate/oblate‐tear with good acc...
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Published in | Chemical engineering & technology Vol. 42; no. 11; pp. 2321 - 2330 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
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01.11.2019
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Abstract | Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio (E) and two parameters (α, β) was proposed and proved to be capable of characterizing the bubble shape from spherical/ellipsoidal to prolate/oblate‐tear with good accuracy. Several impacts on bubble deformation were investigated, involving the rheological properties of the fluids and different forces exerted on the bubble, which were quantified by multiple dimensionless numbers (e.g., Reynolds, Eötvös, and Deborah number). Within a wide range, the empirical correlations were obtained for parameter β, and between α and β. Together with the shape model, a complete system was set up for bubble shape characterization and prediction that will provide new ideas for future studies on bubble hydrodynamics.
Characterization of bubble shapes in non‐Newtonian fluids, from spherical/ellipsoidal to prolate/oblate‐tear, was achieved based both on experiments with single air bubbles rising in stagnant fluids and on a new model containing the aspect ratio and two parameters. The cusp of the bubbles is related to the viscoelasticity and the shear‐thinning level of the solutions. |
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AbstractList | Based on experiments with single air bubbles rising in stagnant non-Newtonian fluids, an innovative model containing the aspect ratio (E) and two parameters (alpha, beta) was proposed and proved to be capable of characterizing the bubble shape from spherical/ellipsoidal to prolate/oblate-tear with good accuracy. Several impacts on bubble deformation were investigated, involving the rheological properties of the fluids and different forces exerted on the bubble, which were quantified by multiple dimensionless numbers (e.g., Reynolds, Eotvos, and Deborah number). Within a wide range, the empirical correlations were obtained for parameter beta, and between alpha and beta. Together with the shape model, a complete system was set up for bubble shape characterization and prediction that will provide new ideas for future studies on bubble hydrodynamics. Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio (E) and two parameters (α, β) was proposed and proved to be capable of characterizing the bubble shape from spherical/ellipsoidal to prolate/oblate‐tear with good accuracy. Several impacts on bubble deformation were investigated, involving the rheological properties of the fluids and different forces exerted on the bubble, which were quantified by multiple dimensionless numbers (e.g., Reynolds, Eötvös, and Deborah number). Within a wide range, the empirical correlations were obtained for parameter β, and between α and β. Together with the shape model, a complete system was set up for bubble shape characterization and prediction that will provide new ideas for future studies on bubble hydrodynamics. Abstract Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio ( E ) and two parameters ( α, β ) was proposed and proved to be capable of characterizing the bubble shape from spherical/ellipsoidal to prolate/oblate‐tear with good accuracy. Several impacts on bubble deformation were investigated, involving the rheological properties of the fluids and different forces exerted on the bubble, which were quantified by multiple dimensionless numbers (e.g., Reynolds, Eötvös, and Deborah number). Within a wide range, the empirical correlations were obtained for parameter β , and between α and β . Together with the shape model, a complete system was set up for bubble shape characterization and prediction that will provide new ideas for future studies on bubble hydrodynamics. Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio (E) and two parameters (α, β) was proposed and proved to be capable of characterizing the bubble shape from spherical/ellipsoidal to prolate/oblate‐tear with good accuracy. Several impacts on bubble deformation were investigated, involving the rheological properties of the fluids and different forces exerted on the bubble, which were quantified by multiple dimensionless numbers (e.g., Reynolds, Eötvös, and Deborah number). Within a wide range, the empirical correlations were obtained for parameter β, and between α and β. Together with the shape model, a complete system was set up for bubble shape characterization and prediction that will provide new ideas for future studies on bubble hydrodynamics. Characterization of bubble shapes in non‐Newtonian fluids, from spherical/ellipsoidal to prolate/oblate‐tear, was achieved based both on experiments with single air bubbles rising in stagnant fluids and on a new model containing the aspect ratio and two parameters. The cusp of the bubbles is related to the viscoelasticity and the shear‐thinning level of the solutions. |
Author | Dietrich, Nicolas Midoux, Noel Li, Huai-Zhi Hébrard, Gilles Xu, Feishi |
Author_xml | – sequence: 1 givenname: Feishi surname: Xu fullname: Xu, Feishi organization: Université de Toulouse – sequence: 2 givenname: Noel surname: Midoux fullname: Midoux, Noel organization: Université de Lorraine – sequence: 3 givenname: Huai-Zhi surname: Li fullname: Li, Huai-Zhi organization: Université de Lorraine – sequence: 4 givenname: Gilles surname: Hébrard fullname: Hébrard, Gilles organization: Université de Toulouse – sequence: 5 givenname: Nicolas surname: Dietrich fullname: Dietrich, Nicolas email: nicolas.dietrich@insa-toulouse.fr organization: Université de Toulouse |
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Cites_doi | 10.1016/j.jnnfm.2010.02.012 10.1021/ie2006577 10.1016/S0009-2509(99)00385-1 10.1016/0009-2509(68)87018-6 10.1016/j.compfluid.2013.09.015 10.1201/9781420015386 10.1080/00986440701446128 10.1021/acs.jchemed.8b00898 10.1252/kakoronbunshu.33.402 10.1002/aic.690120210 10.1146/annurev-fluid-122316-045114 10.1016/j.jcp.2007.12.002 10.1007/978-1-4612-5317-4 10.1002/cjce.5450810321 10.1063/1.4705527 10.1007/s00231-018-2297-3 10.1007/BF01337462 10.1016/0009-2509(68)80024-7 10.1002/cjce.5450370107 10.1021/acs.iecr.8b03617 10.1002/aic.690120506 10.1252/kakoronbunshu1953.25.254 10.1016/j.ces.2013.02.032 10.1016/j.expthermflusci.2014.11.018 10.1299/jfst.2.184 10.1205/cherd.01229 10.1017/S0022112059000520 10.1016/0009-2509(86)85078-3 10.1016/j.ijmultiphaseflow.2014.05.001 10.1063/1.3051374 10.1017/S0022112064000349 10.1016/j.ces.2011.01.019 10.1007/978-1-4419-6494-6_1 10.1007/BF01171684 |
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Keywords | gas-liquid system non-Newtonian fluid bubble shape bubble dynamics |
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Snippet | Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio (E) and two parameters... Abstract Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio ( E ) and two... Based on experiments with single air bubbles rising in stagnant non-Newtonian fluids, an innovative model containing the aspect ratio (E) and two parameters... |
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SubjectTerms | Air bubbles Aspect ratio Biotechnology Bubble dynamics Bubble shape Bubbles Computational fluid dynamics Deborah number Dimensionless numbers Fluid flow Gas‐liquid system Hydrodynamics Life Sciences Mathematical models Newtonian fluids Non‐Newtonian fluid Parameters Parametric equations Rheological properties |
Title | Characterization of Bubble Shapes in Non‐Newtonian Fluids by Parametric Equations |
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