Analytic solution to the micropolar-fluid flow through a semi-porous channel with an expanding or contracting wall
The flow of a micropolar fluid in a semi-porous channel with an expanding or contracting wall is investigated. The governing equations are reduced to ordinary ones by using similar transformations. To get the analytic solution to the problem, the homotopy analysis method （HAM） is employed to obtain...
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| Veröffentlicht in: | Applied mathematics and mechanics 2010-09, Vol.31 (9), p.1073-1080 |
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| container_issue | 9 |
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| container_title | Applied mathematics and mechanics |
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| creator | Si, Xin-hui Zheng, Lian-cun Zhang, Xin-xin Chao, Ying |
| description | The flow of a micropolar fluid in a semi-porous channel with an expanding or contracting wall is investigated. The governing equations are reduced to ordinary ones by using similar transformations. To get the analytic solution to the problem, the homotopy analysis method （HAM） is employed to obtain the expressions for velocity fields. Graphs are sketched and discussed for various parameters, especially the effect of the expansion ratio on velocity and micro-rotation fields. |
| doi_str_mv | 10.1007/s10483-010-1343-6 |
| format | Article |
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The governing equations are reduced to ordinary ones by using similar transformations. To get the analytic solution to the problem, the homotopy analysis method （HAM） is employed to obtain the expressions for velocity fields. Graphs are sketched and discussed for various parameters, especially the effect of the expansion ratio on velocity and micro-rotation fields.</description><identifier>ISSN: 0253-4827</identifier><identifier>EISSN: 1573-2754</identifier><identifier>DOI: 10.1007/s10483-010-1343-6</identifier><language>eng</language><publisher>Heidelberg: Shanghai University Press</publisher><subject>Applications of Mathematics ; Channels ; Classical Mechanics ; Contraction ; Exact solutions ; Fluid- and Aerodynamics ; Graphs ; Ham ; Mathematical analysis ; Mathematical Modeling and Industrial Mathematics ; Mathematics ; Mathematics and Statistics ; Partial Differential Equations ; Transformations ; Walls</subject><ispartof>Applied mathematics and mechanics, 2010-09, Vol.31 (9), p.1073-1080</ispartof><rights>Shanghai University and Springer-Verlag Berlin Heidelberg 2010</rights><rights>Copyright © Wanfang Data Co. Ltd. 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Graphs are sketched and discussed for various parameters, especially the effect of the expansion ratio on velocity and micro-rotation fields.</description><subject>Applications of Mathematics</subject><subject>Channels</subject><subject>Classical Mechanics</subject><subject>Contraction</subject><subject>Exact solutions</subject><subject>Fluid- and Aerodynamics</subject><subject>Graphs</subject><subject>Ham</subject><subject>Mathematical analysis</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Partial Differential Equations</subject><subject>Transformations</subject><subject>Walls</subject><issn>0253-4827</issn><issn>1573-2754</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9kUGLHCEQhZuQQCab_IDcJJdAwKTU1m6Py5JNAgu57F0cR7vdONqrNjPz7-PQC7nlVDzqe5ZVr-s-EvhKAIZvhUA_MgwEMGE9w-JVtyN8YJgOvH_d7YByhvuRDm-7d6U8AUA_9P2uy7dRh0v1BpUU1upTRDWhOlt09CanJQWdsQurPyAX0ql1clqnGWlU7NHjJTVZkJl1jDagk6-tFZE9LzoefJxQysikWLM29SpPOoT33RunQ7EfXupN93j__fHuJ374_ePX3e0DNmykFTM6CKqHg5CCWH7Yay6NFgSE2UsJnEqgwgnDtHVW8lHswVgi-8FRIoST7Kb7sj170tHpOKmntOa2bFGXSznP4awsbecCCcAa_HmDl5yeV1uqOvpibAg62ragGkcQnAzsSpKNbNcpJVunluyPOl8UAXWNQm1RKLjqFoUSzUM3T2lsnGz-95f_mT69DJpTnJ6bT-21-eN8sIpxQilIyf4CQnmYoA</recordid><startdate>20100901</startdate><enddate>20100901</enddate><creator>Si, Xin-hui</creator><creator>Zheng, Lian-cun</creator><creator>Zhang, Xin-xin</creator><creator>Chao, Ying</creator><general>Shanghai University Press</general><general>Applied Science School,University of Science and Technology Beijing,Beijing 100083,P.R.China%Mechanical Engineering School,University of Science and Technology Beijing,Beijing 100083,P.R.China%Research Institute of Chemical Defense,Beijing 102205,P.R.China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>W94</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20100901</creationdate><title>Analytic solution to the micropolar-fluid flow through a semi-porous channel with an expanding or contracting wall</title><author>Si, Xin-hui ; Zheng, Lian-cun ; Zhang, Xin-xin ; Chao, Ying</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c382t-32762a7d6961e5dba59ca6106cb990529026f6c3aefe9586b0ce1947f2166f93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Applications of Mathematics</topic><topic>Channels</topic><topic>Classical Mechanics</topic><topic>Contraction</topic><topic>Exact solutions</topic><topic>Fluid- and Aerodynamics</topic><topic>Graphs</topic><topic>Ham</topic><topic>Mathematical analysis</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Partial Differential Equations</topic><topic>Transformations</topic><topic>Walls</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Si, Xin-hui</creatorcontrib><creatorcontrib>Zheng, Lian-cun</creatorcontrib><creatorcontrib>Zhang, Xin-xin</creatorcontrib><creatorcontrib>Chao, Ying</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库-自然科学</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Applied mathematics and mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Si, Xin-hui</au><au>Zheng, Lian-cun</au><au>Zhang, Xin-xin</au><au>Chao, Ying</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytic solution to the micropolar-fluid flow through a semi-porous channel with an expanding or contracting wall</atitle><jtitle>Applied mathematics and mechanics</jtitle><stitle>Appl. 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| fulltext | fulltext |
| identifier | ISSN: 0253-4827 |
| ispartof | Applied mathematics and mechanics, 2010-09, Vol.31 (9), p.1073-1080 |
| issn | 0253-4827 1573-2754 |
| language | eng |
| recordid | cdi_wanfang_journals_yysxhlx_e201009003 |
| source | SpringerNature Journals; Alma/SFX Local Collection |
| subjects | Applications of Mathematics Channels Classical Mechanics Contraction Exact solutions Fluid- and Aerodynamics Graphs Ham Mathematical analysis Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Partial Differential Equations Transformations Walls |
| title | Analytic solution to the micropolar-fluid flow through a semi-porous channel with an expanding or contracting wall |
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