{"title":"具有滑移和热辐射的可渗透拉伸表面上的非定常流体磁化学反应混合对流","authors":"Mitiku Daba , Ponnaian Devaraj","doi":"10.1016/j.jnnms.2016.02.006","DOIUrl":null,"url":null,"abstract":"<div><p>The present investigation deals with unsteady hydromagnetic chemically reacting mixed convection flow of incompressible viscous fluid past a vertically moving permeable stretching sheet in the presence of suction/injection, heat source/absorption, thermal radiation, viscous dissipation and slip effects. The governing partial differential equations are reduced into a set of non-linear ordinary differential equations by suitable transformations. Keller box method is applied to solve the system of non-linear ordinary differential equations for which the implementation is made with the help of matlab. The important parameters in this study are: Prandtl number <span><math><mi>P</mi><mi>r</mi></math></span>, Schmidt number <span><math><mi>S</mi><mi>c</mi></math></span>, buoyancy force parameter <span><math><mi>λ</mi></math></span>, radiation parameter <span><math><mi>N</mi><mi>r</mi></math></span>, magnetic parameter <span><math><mi>M</mi></math></span>, buoyancy forces ratio parameter <span><math><mi>N</mi></math></span>, the unsteady parameter <span><math><mi>A</mi></math></span>, suction/injection parameter <span><math><mi>s</mi></math></span>, Eckert number <span><math><mi>E</mi><mi>c</mi></math></span>, heat source/sink parameter <span><math><mi>Q</mi></math></span>, chemical reaction parameter <span><math><mi>R</mi></math></span>, velocity slip parameter <span><math><msub><mrow><mi>s</mi></mrow><mrow><mi>v</mi></mrow></msub></math></span>, temperature slip parameter <span><math><msub><mrow><mi>s</mi></mrow><mrow><mi>t</mi></mrow></msub></math></span> and species concentration slip parameter <span><math><msub><mrow><mi>s</mi></mrow><mrow><mi>m</mi></mrow></msub></math></span>. Effects of these parameters on velocity, temperature and species concentration profile of the fluid are presented and analyzed graphically. Furthermore, numerical investigations have been made for the skin friction coefficient and surface heat and mass transfer rates for some of the parameters.</p></div>","PeriodicalId":17275,"journal":{"name":"Journal of the Nigerian Mathematical Society","volume":"35 1","pages":"Pages 245-256"},"PeriodicalIF":0.0000,"publicationDate":"2016-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jnnms.2016.02.006","citationCount":"12","resultStr":"{\"title\":\"Unsteady hydromagnetic chemically reacting mixed convection flow over a permeable stretching surface with slip and thermal radiation\",\"authors\":\"Mitiku Daba , Ponnaian Devaraj\",\"doi\":\"10.1016/j.jnnms.2016.02.006\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The present investigation deals with unsteady hydromagnetic chemically reacting mixed convection flow of incompressible viscous fluid past a vertically moving permeable stretching sheet in the presence of suction/injection, heat source/absorption, thermal radiation, viscous dissipation and slip effects. The governing partial differential equations are reduced into a set of non-linear ordinary differential equations by suitable transformations. Keller box method is applied to solve the system of non-linear ordinary differential equations for which the implementation is made with the help of matlab. The important parameters in this study are: Prandtl number <span><math><mi>P</mi><mi>r</mi></math></span>, Schmidt number <span><math><mi>S</mi><mi>c</mi></math></span>, buoyancy force parameter <span><math><mi>λ</mi></math></span>, radiation parameter <span><math><mi>N</mi><mi>r</mi></math></span>, magnetic parameter <span><math><mi>M</mi></math></span>, buoyancy forces ratio parameter <span><math><mi>N</mi></math></span>, the unsteady parameter <span><math><mi>A</mi></math></span>, suction/injection parameter <span><math><mi>s</mi></math></span>, Eckert number <span><math><mi>E</mi><mi>c</mi></math></span>, heat source/sink parameter <span><math><mi>Q</mi></math></span>, chemical reaction parameter <span><math><mi>R</mi></math></span>, velocity slip parameter <span><math><msub><mrow><mi>s</mi></mrow><mrow><mi>v</mi></mrow></msub></math></span>, temperature slip parameter <span><math><msub><mrow><mi>s</mi></mrow><mrow><mi>t</mi></mrow></msub></math></span> and species concentration slip parameter <span><math><msub><mrow><mi>s</mi></mrow><mrow><mi>m</mi></mrow></msub></math></span>. Effects of these parameters on velocity, temperature and species concentration profile of the fluid are presented and analyzed graphically. Furthermore, numerical investigations have been made for the skin friction coefficient and surface heat and mass transfer rates for some of the parameters.</p></div>\",\"PeriodicalId\":17275,\"journal\":{\"name\":\"Journal of the Nigerian Mathematical Society\",\"volume\":\"35 1\",\"pages\":\"Pages 245-256\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.jnnms.2016.02.006\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Nigerian Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0189896516300063\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Nigerian Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0189896516300063","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Unsteady hydromagnetic chemically reacting mixed convection flow over a permeable stretching surface with slip and thermal radiation
The present investigation deals with unsteady hydromagnetic chemically reacting mixed convection flow of incompressible viscous fluid past a vertically moving permeable stretching sheet in the presence of suction/injection, heat source/absorption, thermal radiation, viscous dissipation and slip effects. The governing partial differential equations are reduced into a set of non-linear ordinary differential equations by suitable transformations. Keller box method is applied to solve the system of non-linear ordinary differential equations for which the implementation is made with the help of matlab. The important parameters in this study are: Prandtl number , Schmidt number , buoyancy force parameter , radiation parameter , magnetic parameter , buoyancy forces ratio parameter , the unsteady parameter , suction/injection parameter , Eckert number , heat source/sink parameter , chemical reaction parameter , velocity slip parameter , temperature slip parameter and species concentration slip parameter . Effects of these parameters on velocity, temperature and species concentration profile of the fluid are presented and analyzed graphically. Furthermore, numerical investigations have been made for the skin friction coefficient and surface heat and mass transfer rates for some of the parameters.