Improved nonlinear fluid model in rotating flow
The pseudoplastic circular Couette flow （CCF） in annuli is investigated. The viscosity is dependent on the shear rate that directly affects the conservation equations solved by the spectral method in the present study. The pseudoplastic model adopted here is shown to be the suitable representative o...
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| Veröffentlicht in: | Applied mathematics and mechanics 2012-11, Vol.33 (11), p.1419-1430 |
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| creator | Ashrafi, N. Karimi-Haghighi, H. |
| description | The pseudoplastic circular Couette flow （CCF） in annuli is investigated. The viscosity is dependent on the shear rate that directly affects the conservation equations solved by the spectral method in the present study. The pseudoplastic model adopted here is shown to be the suitable representative of nonlinear fluids. Unlike the previous studies, where only the square of the shear ered to ease the numerical manipulations, quadratic power is also taken into account. rate term in the viscosity expression is consid- in the present study, the term containing the The curved streamlines of the CCF can cause the centrifugal instability leading to toroidal vortices, known as the Taylor vortices. It is further found that the critical Taylor number becomes lower as the pseudoplastic effect increases. The comparison with the existing measurements on the pseudoplastic CCF results in good agreement. |
| doi_str_mv | 10.1007/s10483-012-1633-x |
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The viscosity is dependent on the shear rate that directly affects the conservation equations solved by the spectral method in the present study. The pseudoplastic model adopted here is shown to be the suitable representative of nonlinear fluids. Unlike the previous studies, where only the square of the shear ered to ease the numerical manipulations, quadratic power is also taken into account. rate term in the viscosity expression is consid- in the present study, the term containing the The curved streamlines of the CCF can cause the centrifugal instability leading to toroidal vortices, known as the Taylor vortices. It is further found that the critical Taylor number becomes lower as the pseudoplastic effect increases. The comparison with the existing measurements on the pseudoplastic CCF results in good agreement.</description><identifier>ISSN: 0253-4827</identifier><identifier>EISSN: 1573-2754</identifier><identifier>DOI: 10.1007/s10483-012-1633-x</identifier><language>eng</language><publisher>Heidelberg: Shanghai University</publisher><subject>Applications of Mathematics ; Classical Mechanics ; Fluid- and Aerodynamics ; Mathematical Modeling and Industrial Mathematics ; Mathematics ; Mathematics and Statistics ; Partial Differential Equations</subject><ispartof>Applied mathematics and mechanics, 2012-11, Vol.33 (11), p.1419-1430</ispartof><rights>Shanghai University and Springer-Verlag Berlin Heidelberg 2012</rights><rights>Copyright © Wanfang Data Co. Ltd. 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The comparison with the existing measurements on the pseudoplastic CCF results in good agreement.</description><subject>Applications of Mathematics</subject><subject>Classical Mechanics</subject><subject>Fluid- and Aerodynamics</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Partial Differential Equations</subject><issn>0253-4827</issn><issn>1573-2754</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWKs_wNt6FWInX83uUYrWQsGLnkN2N9lu2SY1ae3235uyRW-eBob3mYd5Ebon8EQA5CQS4DnDQCgmU8Zwf4FGREiGqRT8Eo2ACoZ5TuU1uolxDQBccj5Ck8VmG_y3qTPnXdc6o0Nmu31bZxtfmy5rXRb8Tu9a16S9P9yiK6u7aO7Oc4w-X18-Zm94-T5fzJ6XuGK82GEpjSwlpaDL3BJZalaUsqiEYEbyUoKllSjyqjYgpoRRW2pCC2tJDaSeCjBsjB6HuwftrHaNWvt9cMmojsfYr7peGZqeJafnU5gM4Sr4GIOxahvajQ5HRUCdEmqoRyVCnepRfWLowMSUdY0Jf4b_oIezaOVd85W4XxNnEiAvBPsBgI9y-A</recordid><startdate>20121101</startdate><enddate>20121101</enddate><creator>Ashrafi, N.</creator><creator>Karimi-Haghighi, H.</creator><general>Shanghai University</general><general>Department of Mechanical and Aerospace Engineering, Science and Research Branch,Islamic Azad University, Tehran, Iran</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20121101</creationdate><title>Improved nonlinear fluid model in rotating flow</title><author>Ashrafi, N. ; Karimi-Haghighi, H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-77e7b7220ab8f17ba39b79c553e74b70f2c598cde056132fba129ff1d01d650e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Applications of Mathematics</topic><topic>Classical Mechanics</topic><topic>Fluid- and Aerodynamics</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Partial Differential Equations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ashrafi, N.</creatorcontrib><creatorcontrib>Karimi-Haghighi, H.</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- 镜像站点</collection><collection>CrossRef</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>Ashrafi, N.</au><au>Karimi-Haghighi, H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Improved nonlinear fluid model in rotating flow</atitle><jtitle>Applied mathematics and mechanics</jtitle><stitle>Appl. 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| subjects | Applications of Mathematics Classical Mechanics Fluid- and Aerodynamics Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Partial Differential Equations |
| title | Improved nonlinear fluid model in rotating flow |
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