Slow, steady ascent in a power-law fluid with temperature-dependent viscosity
► Complete asymptotic analysis (four regimes) for the ascent of a zero-traction sphere in a non-isothermal power law fluid (shear-thickening and shear-thinning). ► Closed-form expressions for the drag. ► Closed form expressions for the Nusselt number. ► Closed form expressions for the rise velocity....
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| Veröffentlicht in: | Journal of non-Newtonian fluid mechanics 2013-05, Vol.195, p.9-18 |
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| container_title | Journal of non-Newtonian fluid mechanics |
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| creator | Vynnycky, M. O’Brien, M.A. |
| description | ► Complete asymptotic analysis (four regimes) for the ascent of a zero-traction sphere in a non-isothermal power law fluid (shear-thickening and shear-thinning). ► Closed-form expressions for the drag. ► Closed form expressions for the Nusselt number. ► Closed form expressions for the rise velocity.
In this paper, we consider the problem of a hot buoyant spherical body with a zero-traction surface ascending through a power-law fluid that has temperature-dependent viscosity. Significant analytical progress is possible for four asymptotic regimes in terms of two dimensionless parameters: the Péclet number, Pe, and a viscosity variation parameter, ϵ. For mild viscosity variations, Levich’s classical result for an isoviscous Newtonian fluid is generalized; more severe viscosity variations lead to an involved four-regime asymptotic structure that has similarities with that found for a Newtonian fluid with temperature-dependent viscosity. |
| doi_str_mv | 10.1016/j.jnnfm.2012.12.001 |
| format | Article |
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In this paper, we consider the problem of a hot buoyant spherical body with a zero-traction surface ascending through a power-law fluid that has temperature-dependent viscosity. Significant analytical progress is possible for four asymptotic regimes in terms of two dimensionless parameters: the Péclet number, Pe, and a viscosity variation parameter, ϵ. For mild viscosity variations, Levich’s classical result for an isoviscous Newtonian fluid is generalized; more severe viscosity variations lead to an involved four-regime asymptotic structure that has similarities with that found for a Newtonian fluid with temperature-dependent viscosity.</description><identifier>ISSN: 0377-0257</identifier><identifier>EISSN: 1873-2631</identifier><identifier>DOI: 10.1016/j.jnnfm.2012.12.001</identifier><language>eng</language><publisher>Elsevier B.V</publisher><subject>Asymptotic properties ; Asymptotics ; Buoyancy ; Fluid dynamics ; Fluid flow ; Fluids ; Mathematical analysis ; Newtonian fluids ; Slow flow ; Temperature-dependent viscosity ; Viscosity</subject><ispartof>Journal of non-Newtonian fluid mechanics, 2013-05, Vol.195, p.9-18</ispartof><rights>2012 Elsevier B.V.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c369t-efe9dc352ca3e960400a7e4dc670247c0b61954adea118fa21e8e76697b476bf3</citedby><cites>FETCH-LOGICAL-c369t-efe9dc352ca3e960400a7e4dc670247c0b61954adea118fa21e8e76697b476bf3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0377025712002601$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Vynnycky, M.</creatorcontrib><creatorcontrib>O’Brien, M.A.</creatorcontrib><title>Slow, steady ascent in a power-law fluid with temperature-dependent viscosity</title><title>Journal of non-Newtonian fluid mechanics</title><description>► Complete asymptotic analysis (four regimes) for the ascent of a zero-traction sphere in a non-isothermal power law fluid (shear-thickening and shear-thinning). ► Closed-form expressions for the drag. ► Closed form expressions for the Nusselt number. ► Closed form expressions for the rise velocity.
In this paper, we consider the problem of a hot buoyant spherical body with a zero-traction surface ascending through a power-law fluid that has temperature-dependent viscosity. Significant analytical progress is possible for four asymptotic regimes in terms of two dimensionless parameters: the Péclet number, Pe, and a viscosity variation parameter, ϵ. For mild viscosity variations, Levich’s classical result for an isoviscous Newtonian fluid is generalized; more severe viscosity variations lead to an involved four-regime asymptotic structure that has similarities with that found for a Newtonian fluid with temperature-dependent viscosity.</description><subject>Asymptotic properties</subject><subject>Asymptotics</subject><subject>Buoyancy</subject><subject>Fluid dynamics</subject><subject>Fluid flow</subject><subject>Fluids</subject><subject>Mathematical analysis</subject><subject>Newtonian fluids</subject><subject>Slow flow</subject><subject>Temperature-dependent viscosity</subject><subject>Viscosity</subject><issn>0377-0257</issn><issn>1873-2631</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNqFkDtPxDAQhC0EEsfBL6BJSUGCHTt2UlCgEy_pEAVQWz57Ixzlhe1cdP8eH0cNq5G2mVntfAhdEpwRTPhNkzV9X3dZjkmeRWFMjtCClIKmOafkGC0wFSLFeSFO0Zn3DY5TUL5AL2_tMF8nPoAyu0R5DX1IbJ-oZBxmcGmr5qRuJ2uS2YbPJEA3glNhcpAaGKE3e__Wej14G3bn6KRWrYeL371EHw_376undP36-Ly6W6ea8iqkUENlNC1yrShUHDOMlQBmNBc4Z0LjDSdVwZQBRUhZq5xACYLzSmyY4JuaLtHV4e7ohq8JfJBdfAHaVvUwTF4SIWJhWrDifytjpSCMR_sS0YNVu8F7B7Ucne2U20mC5Z6zbOQPZ7nnLKMi55i6PaQgFt5acNJrC70GYx3oIM1g_8x_A1s0h2w</recordid><startdate>201305</startdate><enddate>201305</enddate><creator>Vynnycky, M.</creator><creator>O’Brien, M.A.</creator><general>Elsevier B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7UA</scope><scope>C1K</scope><scope>F1W</scope><scope>H96</scope><scope>L.G</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope></search><sort><creationdate>201305</creationdate><title>Slow, steady ascent in a power-law fluid with temperature-dependent viscosity</title><author>Vynnycky, M. ; O’Brien, M.A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c369t-efe9dc352ca3e960400a7e4dc670247c0b61954adea118fa21e8e76697b476bf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Asymptotic properties</topic><topic>Asymptotics</topic><topic>Buoyancy</topic><topic>Fluid dynamics</topic><topic>Fluid flow</topic><topic>Fluids</topic><topic>Mathematical analysis</topic><topic>Newtonian fluids</topic><topic>Slow flow</topic><topic>Temperature-dependent viscosity</topic><topic>Viscosity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vynnycky, M.</creatorcontrib><creatorcontrib>O’Brien, M.A.</creatorcontrib><collection>CrossRef</collection><collection>Water Resources Abstracts</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</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>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of non-Newtonian fluid mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Vynnycky, M.</au><au>O’Brien, M.A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Slow, steady ascent in a power-law fluid with temperature-dependent viscosity</atitle><jtitle>Journal of non-Newtonian fluid mechanics</jtitle><date>2013-05</date><risdate>2013</risdate><volume>195</volume><spage>9</spage><epage>18</epage><pages>9-18</pages><issn>0377-0257</issn><eissn>1873-2631</eissn><abstract>► Complete asymptotic analysis (four regimes) for the ascent of a zero-traction sphere in a non-isothermal power law fluid (shear-thickening and shear-thinning). ► Closed-form expressions for the drag. ► Closed form expressions for the Nusselt number. ► Closed form expressions for the rise velocity.
In this paper, we consider the problem of a hot buoyant spherical body with a zero-traction surface ascending through a power-law fluid that has temperature-dependent viscosity. Significant analytical progress is possible for four asymptotic regimes in terms of two dimensionless parameters: the Péclet number, Pe, and a viscosity variation parameter, ϵ. For mild viscosity variations, Levich’s classical result for an isoviscous Newtonian fluid is generalized; more severe viscosity variations lead to an involved four-regime asymptotic structure that has similarities with that found for a Newtonian fluid with temperature-dependent viscosity.</abstract><pub>Elsevier B.V</pub><doi>10.1016/j.jnnfm.2012.12.001</doi><tpages>10</tpages></addata></record> |
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| subjects | Asymptotic properties Asymptotics Buoyancy Fluid dynamics Fluid flow Fluids Mathematical analysis Newtonian fluids Slow flow Temperature-dependent viscosity Viscosity |
| title | Slow, steady ascent in a power-law fluid with temperature-dependent viscosity |
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