A computational method to simulate mono- and poly-disperse two-dimensional foams flowing in obstructed channel
A modified phase-field model is presented to numerically study the dynamics of flowing foam in an obstructed channel. The bubbles are described as smooth deformable fields interacting with one another through a repulsive potential. A strength of the model lies in its ability to simulate foams with w...
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Veröffentlicht in: | Rheologica acta 2021-10, Vol.60 (10), p.587-601 |
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creator | Lavoratti, Thales Carl Heitkam, Sascha Hampel, Uwe Lecrivain, Gregory |
description | A modified phase-field model is presented to numerically study the dynamics of flowing foam in an obstructed channel. The bubbles are described as smooth deformable fields interacting with one another through a repulsive potential. A strength of the model lies in its ability to simulate foams with wide range of gas fraction. The foam motion, composed of about hundred two-dimensional gas elements, was analyzed for gas fractions ranging from 0.4 to 0.99, that is below and beyond the jamming transition. Simulations are preformed near the quasi-static limit, indicating that the bubble rearrangement in the obstructed channel is primarily driven by the soft collisions and not by the hydrodynamics. Foam compression and relaxation upstream and downstream of the obstacle are reproduced and qualitatively match previous experimental and numerical observations. Striking dynamics, such as bubbles being squeezed by their neighbors in negative flow direction, are also revealed at intermediate gas fractions. |
doi_str_mv | 10.1007/s00397-021-01288-y |
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The bubbles are described as smooth deformable fields interacting with one another through a repulsive potential. A strength of the model lies in its ability to simulate foams with wide range of gas fraction. The foam motion, composed of about hundred two-dimensional gas elements, was analyzed for gas fractions ranging from 0.4 to 0.99, that is below and beyond the jamming transition. Simulations are preformed near the quasi-static limit, indicating that the bubble rearrangement in the obstructed channel is primarily driven by the soft collisions and not by the hydrodynamics. Foam compression and relaxation upstream and downstream of the obstacle are reproduced and qualitatively match previous experimental and numerical observations. 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The bubbles are described as smooth deformable fields interacting with one another through a repulsive potential. A strength of the model lies in its ability to simulate foams with wide range of gas fraction. The foam motion, composed of about hundred two-dimensional gas elements, was analyzed for gas fractions ranging from 0.4 to 0.99, that is below and beyond the jamming transition. Simulations are preformed near the quasi-static limit, indicating that the bubble rearrangement in the obstructed channel is primarily driven by the soft collisions and not by the hydrodynamics. Foam compression and relaxation upstream and downstream of the obstacle are reproduced and qualitatively match previous experimental and numerical observations. Striking dynamics, such as bubbles being squeezed by their neighbors in negative flow direction, are also revealed at intermediate gas fractions.</description><subject>Bubbles</subject><subject>Characterization and Evaluation of Materials</subject><subject>Chemistry and Materials Science</subject><subject>Complex Fluids and Microfluidics</subject><subject>Computational fluid dynamics</subject><subject>Fluid flow</subject><subject>Foams</subject><subject>Food Science</subject><subject>Formability</subject><subject>Hydrodynamics</subject><subject>Jamming</subject><subject>Materials Science</subject><subject>Mathematical models</subject><subject>Measurement techniques</subject><subject>Mechanical Engineering</subject><subject>Methods</subject><subject>Original Contribution</subject><subject>Polymer Sciences</subject><subject>Simulation</subject><subject>Soft and Granular Matter</subject><subject>Two dimensional analysis</subject><subject>Two dimensional flow</subject><subject>Two dimensional models</subject><issn>0035-4511</issn><issn>1435-1528</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><sourceid>BENPR</sourceid><recordid>eNp9kE1LxDAQhoMouK7-AU8Bz9FJ0vTjuCx-wYIXPYeYTrTSJjVJWfbfW63gzdMwzPu8DA8hlxyuOUB1kwBkUzEQnAEXdc0OR2TFC6kYV6I-Jqv5rlihOD8lZyl9APCqrMSK-A21YRinbHIXvOnpgPk9tDQHmrph6k1GOgQfGDW-pWPoD6zt0ogxIc37MC8D-rSgLpghUdeHfeffaOdpeE05TjZjS-278R77c3LiTJ_w4neuycvd7fP2ge2e7h-3mx2zspSZmbJRdSkkStE6jhXIkrfyVVoELKwA6-oGawu8EYCqbcoGpbHOFVXplAIh1-Rq6R1j-JwwZf0Rpjg_mbRQFYeilI2aU2JJ2RhSiuj0GLvBxIPmoL-96sWrnr3qH6_6MENygdIc9m8Y_6r_ob4AhkR9Tg</recordid><startdate>20211001</startdate><enddate>20211001</enddate><creator>Lavoratti, Thales Carl</creator><creator>Heitkam, Sascha</creator><creator>Hampel, Uwe</creator><creator>Lecrivain, Gregory</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>KB.</scope><scope>L6V</scope><scope>M7S</scope><scope>PDBOC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20211001</creationdate><title>A computational method to simulate mono- and poly-disperse two-dimensional foams flowing in obstructed channel</title><author>Lavoratti, Thales Carl ; 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The bubbles are described as smooth deformable fields interacting with one another through a repulsive potential. A strength of the model lies in its ability to simulate foams with wide range of gas fraction. The foam motion, composed of about hundred two-dimensional gas elements, was analyzed for gas fractions ranging from 0.4 to 0.99, that is below and beyond the jamming transition. Simulations are preformed near the quasi-static limit, indicating that the bubble rearrangement in the obstructed channel is primarily driven by the soft collisions and not by the hydrodynamics. Foam compression and relaxation upstream and downstream of the obstacle are reproduced and qualitatively match previous experimental and numerical observations. 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subjects | Bubbles Characterization and Evaluation of Materials Chemistry and Materials Science Complex Fluids and Microfluidics Computational fluid dynamics Fluid flow Foams Food Science Formability Hydrodynamics Jamming Materials Science Mathematical models Measurement techniques Mechanical Engineering Methods Original Contribution Polymer Sciences Simulation Soft and Granular Matter Two dimensional analysis Two dimensional flow Two dimensional models |
title | A computational method to simulate mono- and poly-disperse two-dimensional foams flowing in obstructed channel |
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