Influence of Newtonian heating on three dimensional MHD flow of couple stress nanofluid with viscous dissipation and Joule heating
The present exploration discusses the influence of Newtonian heating on the magnetohydrodynamic (MHD) three dimensional couple stress nanofluid past a stretching surface. Viscous dissipation and Joule heating effects are also considered. Moreover, the nanofluid model includes the combined effects of...
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| description | The present exploration discusses the influence of Newtonian heating on the magnetohydrodynamic (MHD) three dimensional couple stress nanofluid past a stretching surface. Viscous dissipation and Joule heating effects are also considered. Moreover, the nanofluid model includes the combined effects of thermophoresis and Brownian motion. Using an appropriate transformation, the governing non linear partial differential equations are converted into nonlinear ordinary differential equations. Series solutions using Homotopy Analysis method (HAM) are computed. Plots are presented to portrait the arising parameters in the problem. It is seen that an increase in conjugate heating parameter results in considerable increase in the temperature profile of the stretching wall. Skin friction coefficient, local Nusselt and local Sherwood numbers tabulated and analyzed. Higher values of conjugate parameter, Thermophoresis parameter and Brownian motion parameter result in enhancement of temperature distribution. |
| doi_str_mv | 10.1371/journal.pone.0124699 |
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Viscous dissipation and Joule heating effects are also considered. Moreover, the nanofluid model includes the combined effects of thermophoresis and Brownian motion. Using an appropriate transformation, the governing non linear partial differential equations are converted into nonlinear ordinary differential equations. Series solutions using Homotopy Analysis method (HAM) are computed. Plots are presented to portrait the arising parameters in the problem. It is seen that an increase in conjugate heating parameter results in considerable increase in the temperature profile of the stretching wall. Skin friction coefficient, local Nusselt and local Sherwood numbers tabulated and analyzed. Higher values of conjugate parameter, Thermophoresis parameter and Brownian motion parameter result in enhancement of temperature distribution.</description><identifier>ISSN: 1932-6203</identifier><identifier>EISSN: 1932-6203</identifier><identifier>DOI: 10.1371/journal.pone.0124699</identifier><identifier>PMID: 25874800</identifier><language>eng</language><publisher>United States: Public Library of Science</publisher><subject>Algorithms ; Brownian motion ; Brownian movements ; Coefficient of friction ; Computational fluid dynamics ; Continuous casting ; Cooling ; Differential equations ; Dissipation ; Exploration ; Fluid ; Fluid flow ; Fluids ; Heat conductivity ; Heat transfer ; Heating ; Joule heating ; Magnetohydrodynamics ; Mathematical models ; Models, Theoretical ; Nanofluids ; Nanoparticles ; Nonlinear equations ; Nuclear reactors ; Ohmic dissipation ; Ordinary differential equations ; Parameters ; Partial differential equations ; Skin ; Skin friction ; Stretching ; Temperature ; Temperature distribution ; Temperature effects ; Thermophoresis ; Three dimensional flow ; Transformation ; Viscosity</subject><ispartof>PloS one, 2015-04, Vol.10 (4), p.e0124699-e0124699</ispartof><rights>COPYRIGHT 2015 Public Library of Science</rights><rights>2015 Muhammad Ramzan. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>2015 Muhammad Ramzan 2015 Muhammad Ramzan</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c692t-ceecb4ca25a53a50ccf261597276b4c9dc447e6d3a06eeda95aad108ab4cca043</citedby><cites>FETCH-LOGICAL-c692t-ceecb4ca25a53a50ccf261597276b4c9dc447e6d3a06eeda95aad108ab4cca043</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4397014/pdf/$$EPDF$$P50$$Gpubmedcentral$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4397014/$$EHTML$$P50$$Gpubmedcentral$$Hfree_for_read</linktohtml><link.rule.ids>230,314,727,780,784,864,885,2102,2928,23866,27924,27925,53791,53793,79600,79601</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/25874800$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><contributor>Wang, Xiao-Dong</contributor><creatorcontrib>Ramzan, Muhammad</creatorcontrib><title>Influence of Newtonian heating on three dimensional MHD flow of couple stress nanofluid with viscous dissipation and Joule heating</title><title>PloS one</title><addtitle>PLoS One</addtitle><description>The present exploration discusses the influence of Newtonian heating on the magnetohydrodynamic (MHD) three dimensional couple stress nanofluid past a stretching surface. Viscous dissipation and Joule heating effects are also considered. Moreover, the nanofluid model includes the combined effects of thermophoresis and Brownian motion. Using an appropriate transformation, the governing non linear partial differential equations are converted into nonlinear ordinary differential equations. Series solutions using Homotopy Analysis method (HAM) are computed. Plots are presented to portrait the arising parameters in the problem. It is seen that an increase in conjugate heating parameter results in considerable increase in the temperature profile of the stretching wall. Skin friction coefficient, local Nusselt and local Sherwood numbers tabulated and analyzed. Higher values of conjugate parameter, Thermophoresis parameter and Brownian motion parameter result in enhancement of temperature distribution.</description><subject>Algorithms</subject><subject>Brownian motion</subject><subject>Brownian movements</subject><subject>Coefficient of friction</subject><subject>Computational fluid dynamics</subject><subject>Continuous casting</subject><subject>Cooling</subject><subject>Differential equations</subject><subject>Dissipation</subject><subject>Exploration</subject><subject>Fluid</subject><subject>Fluid flow</subject><subject>Fluids</subject><subject>Heat conductivity</subject><subject>Heat transfer</subject><subject>Heating</subject><subject>Joule heating</subject><subject>Magnetohydrodynamics</subject><subject>Mathematical models</subject><subject>Models, Theoretical</subject><subject>Nanofluids</subject><subject>Nanoparticles</subject><subject>Nonlinear equations</subject><subject>Nuclear reactors</subject><subject>Ohmic dissipation</subject><subject>Ordinary differential equations</subject><subject>Parameters</subject><subject>Partial differential equations</subject><subject>Skin</subject><subject>Skin friction</subject><subject>Stretching</subject><subject>Temperature</subject><subject>Temperature distribution</subject><subject>Temperature effects</subject><subject>Thermophoresis</subject><subject>Three dimensional flow</subject><subject>Transformation</subject><subject>Viscosity</subject><issn>1932-6203</issn><issn>1932-6203</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>DOA</sourceid><recordid>eNqNk02P0zAQhiMEYpfCP0BgCQnBocVfSeoL0mr52KKFlfi6Wq4zaV2ldomdLVz55UxodrVBe0A5xBo_7zv2eCbLHjM6Y6Jkrzaha71pZrvgYUYZl4VSd7JjpgSfFpyKuzfWR9mDGDeU5mJeFPezI57PSzmn9Dj7vfB104G3QEJNPsE-Be-MJ2swyfkVCZ6kdQtAKrcFH13AlOTj2RtSN2HfS2zodg2QmFqIkXjjA_q5iuxdWpNLF3E_ojhGt0NHtDO-Ih9Ch5ohx8PsXm2aCI-G_yT79u7t19Oz6fnF-8XpyfnUFoqnqQWwS2kNz00uTE6trXnBclXyssC4qqyUJRSVMLQAqIzKjakYnRvctIZKMcmeHnx3TYh6KF_UrFBszkuOxZpkiwNRBbPRu9ZtTftLB-P030BoV9q0ydkGtEIRVMu5oMJKvpRKKFyUpZBLU0pZodfrIVu33EJlwafWNCPT8Y53a70Kl1oKVVLWH_fFYNCGHx3EpLdYTWga4wFriucu8clZnjNEn_2D3n67gVoZvIDzdcC8tjfVJxI7QvFcUqRmt1D4VbB1FnutdhgfCV6OBMgk-JlWpotRL758_n_24vuYfX6DxV5p0jqGpuubKI5BeQBtG2Jsob4uMqO6H5Wrauh-VPQwKih7cvOBrkVXsyH-ACS7EJA</recordid><startdate>20150414</startdate><enddate>20150414</enddate><creator>Ramzan, 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of Newtonian heating on three dimensional MHD flow of couple stress nanofluid with viscous dissipation and Joule heating</title><author>Ramzan, Muhammad</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c692t-ceecb4ca25a53a50ccf261597276b4c9dc447e6d3a06eeda95aad108ab4cca043</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Algorithms</topic><topic>Brownian motion</topic><topic>Brownian movements</topic><topic>Coefficient of friction</topic><topic>Computational fluid dynamics</topic><topic>Continuous casting</topic><topic>Cooling</topic><topic>Differential equations</topic><topic>Dissipation</topic><topic>Exploration</topic><topic>Fluid</topic><topic>Fluid flow</topic><topic>Fluids</topic><topic>Heat conductivity</topic><topic>Heat transfer</topic><topic>Heating</topic><topic>Joule heating</topic><topic>Magnetohydrodynamics</topic><topic>Mathematical 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One</addtitle><date>2015-04-14</date><risdate>2015</risdate><volume>10</volume><issue>4</issue><spage>e0124699</spage><epage>e0124699</epage><pages>e0124699-e0124699</pages><issn>1932-6203</issn><eissn>1932-6203</eissn><abstract>The present exploration discusses the influence of Newtonian heating on the magnetohydrodynamic (MHD) three dimensional couple stress nanofluid past a stretching surface. Viscous dissipation and Joule heating effects are also considered. Moreover, the nanofluid model includes the combined effects of thermophoresis and Brownian motion. Using an appropriate transformation, the governing non linear partial differential equations are converted into nonlinear ordinary differential equations. Series solutions using Homotopy Analysis method (HAM) are computed. Plots are presented to portrait the arising parameters in the problem. It is seen that an increase in conjugate heating parameter results in considerable increase in the temperature profile of the stretching wall. Skin friction coefficient, local Nusselt and local Sherwood numbers tabulated and analyzed. Higher values of conjugate parameter, Thermophoresis parameter and Brownian motion parameter result in enhancement of temperature distribution.</abstract><cop>United States</cop><pub>Public Library of Science</pub><pmid>25874800</pmid><doi>10.1371/journal.pone.0124699</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Algorithms Brownian motion Brownian movements Coefficient of friction Computational fluid dynamics Continuous casting Cooling Differential equations Dissipation Exploration Fluid Fluid flow Fluids Heat conductivity Heat transfer Heating Joule heating Magnetohydrodynamics Mathematical models Models, Theoretical Nanofluids Nanoparticles Nonlinear equations Nuclear reactors Ohmic dissipation Ordinary differential equations Parameters Partial differential equations Skin Skin friction Stretching Temperature Temperature distribution Temperature effects Thermophoresis Three dimensional flow Transformation Viscosity |
| title | Influence of Newtonian heating on three dimensional MHD flow of couple stress nanofluid with viscous dissipation and Joule heating |
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