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Existence of multiple solutions for the laminar flow in a porous channel with suction at both slowly expanding and contracting walls
The asymptotic behavior of solutions of a similarity equation for the laminar flow in a porous channel with suction at both expanding and contracting walls has been obtained by using a singular perturbation method.However,in the matching process,this solution neglects exponentially small terms.To ta...
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| Published in: | International journal of minerals, metallurgy and materials metallurgy and materials, 2011-08, Vol.18 (4), p.494-501 |
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| Main Authors: | , , , |
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| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c444t-79be92f3cd63fc1956062eee34718e0633eee6f0fcfd70748942ead99f94d77a3 |
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| cites | cdi_FETCH-LOGICAL-c444t-79be92f3cd63fc1956062eee34718e0633eee6f0fcfd70748942ead99f94d77a3 |
| container_end_page | 501 |
| container_issue | 4 |
| container_start_page | 494 |
| container_title | International journal of minerals, metallurgy and materials |
| container_volume | 18 |
| creator | Si, Xin-hui Zheng, Lian-cun Zhang, Xin-xin Chao, Ying |
| description | The asymptotic behavior of solutions of a similarity equation for the laminar flow in a porous channel with suction at both expanding and contracting walls has been obtained by using a singular perturbation method.However,in the matching process,this solution neglects exponentially small terms.To take into account these exponentially small terms,a method involving the inclusion of exponentially small terms in a perturbation series was used to find two of the solutions analytically.The series involving the exponentially small terms and expansion ratio predicts dual solutions.Furthermore,the result indicates that the expansion ratio has much important influence on the solutions. |
| doi_str_mv | 10.1007/s12613-011-0468-z |
| format | article |
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All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c444t-79be92f3cd63fc1956062eee34718e0633eee6f0fcfd70748942ead99f94d77a3</citedby><cites>FETCH-LOGICAL-c444t-79be92f3cd63fc1956062eee34718e0633eee6f0fcfd70748942ead99f94d77a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/85313A/85313A.jpg</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Si, Xin-hui</creatorcontrib><creatorcontrib>Zheng, Lian-cun</creatorcontrib><creatorcontrib>Zhang, Xin-xin</creatorcontrib><creatorcontrib>Chao, Ying</creatorcontrib><title>Existence of multiple solutions for the laminar flow in a porous channel with suction at both slowly expanding and contracting walls</title><title>International journal of minerals, metallurgy and materials</title><addtitle>Int J Miner Metall Mater</addtitle><addtitle>International Journal of Minerals,Metallurgy and Materials</addtitle><description>The asymptotic behavior of solutions of a similarity equation for the laminar flow in a porous channel with suction at both expanding and contracting walls has been obtained by using a singular perturbation method.However,in the matching process,this solution neglects exponentially small terms.To take into account these exponentially small terms,a method involving the inclusion of exponentially small terms in a perturbation series was used to find two of the solutions analytically.The series involving the exponentially small terms and expansion ratio predicts dual solutions.Furthermore,the result indicates that the expansion ratio has much important influence on the solutions.</description><subject>Asymptotic properties</subject><subject>Ceramics</subject><subject>Channels</subject><subject>Characterization and Evaluation of Materials</subject><subject>Chemistry and Materials Science</subject><subject>Composites</subject><subject>Contraction</subject><subject>Corrosion and Coatings</subject><subject>Glass</subject><subject>Laminar flow</subject><subject>Materials Science</subject><subject>Mathematical analysis</subject><subject>Metallic Materials</subject><subject>Natural Materials</subject><subject>Perturbation methods</subject><subject>Similarity</subject><subject>Singular perturbation methods</subject><subject>Suction</subject><subject>Surfaces and Interfaces</subject><subject>Thin Films</subject><subject>Tribology</subject><subject>Walls</subject><subject>匹配过程</subject><subject>墙壁</subject><subject>多孔</subject><subject>奇异摄动方法</subject><subject>层流</subject><subject>收缩</subject><subject>渐近行为</subject><subject>通道</subject><issn>1674-4799</issn><issn>1869-103X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNqFkU2LFDEQhhtRcF39Ad4iXgRpzdcmnaMs6wcseFHwFjLpykyPmaQ36WZm9-wPt5peVvCguVQKnrfe-mial4y-Y5Tq95VxxURLGWupVF1796g5Y50yLaPix2P8Ky1bqY152jyrdU-p0prqs-bX1WmoEyQPJAdymOM0jBFIzXGehpwqCbmQaQckusOQXCEh5iMZEnFkzCXPlfidSwkiOQ7TjtTZLzLiJrLJS450vCVwGl3qh7QlGIjPaSoOQcyPLsb6vHkSXKzw4j6eN98_Xn27_Nxef_305fLDdeullFOrzQYMD8L3SgTPzIWiigOAkJp1QJUQmKhAgw89Dic7Izm43phgZK-1E-fN27Xu0aXg0tbu81wSOtrN_ue-P502FjiukErKOqTfrPRY8s0MdbKHoXqI0SXAwS3jHDcsudb_R2nH8V1Iiejrv9CHJrhhRiph1EKxlfIl11og2LEMB1dusZRdDm7Xg1vs1i4Ht3eo4aumIpu2UP5U_pfo1b3RLqftDeoenETX4dplJ34DC1W7NA</recordid><startdate>20110801</startdate><enddate>20110801</enddate><creator>Si, Xin-hui</creator><creator>Zheng, Lian-cun</creator><creator>Zhang, Xin-xin</creator><creator>Chao, Ying</creator><general>University of Science and Technology Beijing</general><general>Springer Nature B.V</general><general>Applied Science School, University of Science and Technology Beijing, Beijing 100083, China%Department of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China%Chemical Defense Institute of the PLA, Beijing 102205, China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>W92</scope><scope>~WA</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>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>D1I</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>KB.</scope><scope>PCBAR</scope><scope>PDBOC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>7SR</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20110801</creationdate><title>Existence of multiple solutions for the laminar flow in a porous channel with suction at both slowly expanding and contracting walls</title><author>Si, Xin-hui ; 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| ispartof | International journal of minerals, metallurgy and materials, 2011-08, Vol.18 (4), p.494-501 |
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| subjects | Asymptotic properties Ceramics Channels Characterization and Evaluation of Materials Chemistry and Materials Science Composites Contraction Corrosion and Coatings Glass Laminar flow Materials Science Mathematical analysis Metallic Materials Natural Materials Perturbation methods Similarity Singular perturbation methods Suction Surfaces and Interfaces Thin Films Tribology Walls 匹配过程 墙壁 多孔 奇异摄动方法 层流 收缩 渐近行为 通道 |
| title | Existence of multiple solutions for the laminar flow in a porous channel with suction at both slowly expanding and contracting walls |
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