Modeling of capillary-driven flows in axisymmetric geometries
•An extension of the Lucas–Washburn equation is proposed.•It describes capillary-driven flows in non-straight geometries.•The proposed model is then verified with simulations.•The simulative tool is based on the free-surface lattice Boltzmann method. We present an analytical approach, as well as com...
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| Veröffentlicht in: | Computers & fluids 2019-01, Vol.178, p.132-140 |
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| container_title | Computers & fluids |
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| creator | Chassagne, Romain Dörfler, Fabian Guyenot, Michael Harting, Jens |
| description | •An extension of the Lucas–Washburn equation is proposed.•It describes capillary-driven flows in non-straight geometries.•The proposed model is then verified with simulations.•The simulative tool is based on the free-surface lattice Boltzmann method.
We present an analytical approach, as well as computer simulations based on the free surface lattice-Boltzmann (FSLB) method, in order to model capillary-driven infiltration of liquids into porous structures. The analytical method is an extension of the Lucas-Washburn (LW) equation and applies to axisymmetric geometries with a circular cross-section. The treatment of irregular capillaries is achieved by a discretization procedure in which the original geometry is divided into small cylinders. In order to validate the derived analytical equation, we perform FSLB simulations in test geometries which show a good agreement. |
| doi_str_mv | 10.1016/j.compfluid.2018.08.024 |
| format | Article |
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We present an analytical approach, as well as computer simulations based on the free surface lattice-Boltzmann (FSLB) method, in order to model capillary-driven infiltration of liquids into porous structures. The analytical method is an extension of the Lucas-Washburn (LW) equation and applies to axisymmetric geometries with a circular cross-section. The treatment of irregular capillaries is achieved by a discretization procedure in which the original geometry is divided into small cylinders. In order to validate the derived analytical equation, we perform FSLB simulations in test geometries which show a good agreement.</description><identifier>ISSN: 0045-7930</identifier><identifier>EISSN: 1879-0747</identifier><identifier>DOI: 10.1016/j.compfluid.2018.08.024</identifier><language>eng</language><publisher>Amsterdam: Elsevier Ltd</publisher><subject>Axisymmetric flow ; Capillaries ; Capillary flow ; Capillary-driven infiltration ; Computer simulation ; Cylinders ; Fluids ; Free surfaces ; Free-surface lattice-Boltzmann (FSLB) ; Geometry ; Infiltration ; Mathematical analysis ; Porous materials ; Spontaneous imbibition</subject><ispartof>Computers & fluids, 2019-01, Vol.178, p.132-140</ispartof><rights>2018</rights><rights>Copyright Elsevier BV Jan 15, 2019</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c392t-1c8cc3bc0d21ed6e2ea879b9bffd6fa36cb2324feac76a68b83aee467ab350723</citedby><cites>FETCH-LOGICAL-c392t-1c8cc3bc0d21ed6e2ea879b9bffd6fa36cb2324feac76a68b83aee467ab350723</cites><orcidid>0000-0002-9200-6623</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.compfluid.2018.08.024$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>Chassagne, Romain</creatorcontrib><creatorcontrib>Dörfler, Fabian</creatorcontrib><creatorcontrib>Guyenot, Michael</creatorcontrib><creatorcontrib>Harting, Jens</creatorcontrib><title>Modeling of capillary-driven flows in axisymmetric geometries</title><title>Computers & fluids</title><description>•An extension of the Lucas–Washburn equation is proposed.•It describes capillary-driven flows in non-straight geometries.•The proposed model is then verified with simulations.•The simulative tool is based on the free-surface lattice Boltzmann method.
We present an analytical approach, as well as computer simulations based on the free surface lattice-Boltzmann (FSLB) method, in order to model capillary-driven infiltration of liquids into porous structures. The analytical method is an extension of the Lucas-Washburn (LW) equation and applies to axisymmetric geometries with a circular cross-section. The treatment of irregular capillaries is achieved by a discretization procedure in which the original geometry is divided into small cylinders. In order to validate the derived analytical equation, we perform FSLB simulations in test geometries which show a good agreement.</description><subject>Axisymmetric flow</subject><subject>Capillaries</subject><subject>Capillary flow</subject><subject>Capillary-driven infiltration</subject><subject>Computer simulation</subject><subject>Cylinders</subject><subject>Fluids</subject><subject>Free surfaces</subject><subject>Free-surface lattice-Boltzmann (FSLB)</subject><subject>Geometry</subject><subject>Infiltration</subject><subject>Mathematical analysis</subject><subject>Porous materials</subject><subject>Spontaneous imbibition</subject><issn>0045-7930</issn><issn>1879-0747</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNqFUMtOwzAQtBBIlMI3EIlzgh-pnRw4VBUvqYgLnC3HXleOkjjYaaF_j0sRV6SRdlfamd0ZhK4JLggm_LYttO9H222dKSgmVYETaHmCZqQSdY5FKU7RDONykYua4XN0EWOL08xoOUN3L95A54ZN5m2m1ei6ToV9boLbwZDZzn_GzA2Z-nJx3_cwBaezDfifDuIlOrOqi3D1W-fo_eH-bfWUr18fn1fLda5ZTaec6Epr1mhsKAHDgYJKrzV1Y63hVjGuG5q-saC04IpXTcUUQMmFatgCC8rm6OaoOwb_sYU4ydZvw5BOSko4oaIq60XaEsctHXyMAawcg-uTHUmwPGQlW_mXlTxkJXECLRNzeWRCMrFzEGTUDgYNxgXQkzTe_avxDWypeFw</recordid><startdate>20190115</startdate><enddate>20190115</enddate><creator>Chassagne, Romain</creator><creator>Dörfler, Fabian</creator><creator>Guyenot, Michael</creator><creator>Harting, Jens</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0002-9200-6623</orcidid></search><sort><creationdate>20190115</creationdate><title>Modeling of capillary-driven flows in axisymmetric geometries</title><author>Chassagne, Romain ; Dörfler, Fabian ; Guyenot, Michael ; Harting, Jens</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c392t-1c8cc3bc0d21ed6e2ea879b9bffd6fa36cb2324feac76a68b83aee467ab350723</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Axisymmetric flow</topic><topic>Capillaries</topic><topic>Capillary flow</topic><topic>Capillary-driven infiltration</topic><topic>Computer simulation</topic><topic>Cylinders</topic><topic>Fluids</topic><topic>Free surfaces</topic><topic>Free-surface lattice-Boltzmann (FSLB)</topic><topic>Geometry</topic><topic>Infiltration</topic><topic>Mathematical analysis</topic><topic>Porous materials</topic><topic>Spontaneous imbibition</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chassagne, Romain</creatorcontrib><creatorcontrib>Dörfler, Fabian</creatorcontrib><creatorcontrib>Guyenot, Michael</creatorcontrib><creatorcontrib>Harting, Jens</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</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>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Computers & fluids</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chassagne, Romain</au><au>Dörfler, Fabian</au><au>Guyenot, Michael</au><au>Harting, Jens</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Modeling of capillary-driven flows in axisymmetric geometries</atitle><jtitle>Computers & fluids</jtitle><date>2019-01-15</date><risdate>2019</risdate><volume>178</volume><spage>132</spage><epage>140</epage><pages>132-140</pages><issn>0045-7930</issn><eissn>1879-0747</eissn><abstract>•An extension of the Lucas–Washburn equation is proposed.•It describes capillary-driven flows in non-straight geometries.•The proposed model is then verified with simulations.•The simulative tool is based on the free-surface lattice Boltzmann method.
We present an analytical approach, as well as computer simulations based on the free surface lattice-Boltzmann (FSLB) method, in order to model capillary-driven infiltration of liquids into porous structures. The analytical method is an extension of the Lucas-Washburn (LW) equation and applies to axisymmetric geometries with a circular cross-section. The treatment of irregular capillaries is achieved by a discretization procedure in which the original geometry is divided into small cylinders. In order to validate the derived analytical equation, we perform FSLB simulations in test geometries which show a good agreement.</abstract><cop>Amsterdam</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.compfluid.2018.08.024</doi><tpages>9</tpages><orcidid>https://orcid.org/0000-0002-9200-6623</orcidid><oa>free_for_read</oa></addata></record> |
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| ispartof | Computers & fluids, 2019-01, Vol.178, p.132-140 |
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| language | eng |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Axisymmetric flow Capillaries Capillary flow Capillary-driven infiltration Computer simulation Cylinders Fluids Free surfaces Free-surface lattice-Boltzmann (FSLB) Geometry Infiltration Mathematical analysis Porous materials Spontaneous imbibition |
| title | Modeling of capillary-driven flows in axisymmetric geometries |
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