{"title":"拉伸片上牛顿加热的二阶粘性耗散瞬态 MHD 非线性对流滑移流","authors":"R. Balamurugan","doi":"10.1002/htj.23101","DOIUrl":null,"url":null,"abstract":"<p>The current study explores the transient magnetohydrodynamic (MHD) flow with the interaction of quadratic convection, slip of second-order momentum, viscous dissipation, and Newtonian heating. In this setup, the governing equations become highly nonlinear. The numerical solutions are attained by utilizing an implicit type of the Crank–Nicolson technique. The primary aim of the exploration is to figure out the consequence of MHD nonlinear convection and momentum slip of second-order on the overall behavior of the system. The robust agreement is evinced by numerical computations verified against existing research. Skin friction and Nusselt number decreases for second-order slips, <span></span><math>\n <semantics>\n <mrow>\n <mrow>\n <mi>δ</mi>\n \n <mo>=</mo>\n \n <mn>0</mn>\n \n <mo>,</mo>\n \n <mo>−</mo>\n \n <mn>2</mn>\n \n <mo>,</mo>\n \n <mo>−</mo>\n \n <mn>4</mn>\n \n <mo>,</mo>\n \n <mo>−</mo>\n \n <mn>8</mn>\n </mrow>\n </mrow>\n <annotation> $\\delta =0,-2,-4,-8$</annotation>\n </semantics></math>, and −16. And for <span></span><math>\n <semantics>\n <mrow>\n <mrow>\n <mi>γ</mi>\n \n <mo>=</mo>\n \n <mn>1.0</mn>\n </mrow>\n </mrow>\n <annotation> $\\gamma =1.0$</annotation>\n </semantics></math> and <span></span><math>\n <semantics>\n <mrow>\n <mrow>\n <mi>δ</mi>\n \n <mo>=</mo>\n \n <mo>-</mo>\n \n <mn>2.0</mn>\n </mrow>\n </mrow>\n <annotation> $\\delta = \\mbox{-} 2.0$</annotation>\n </semantics></math> the temporal coefficients of friction and heat transmission attain a steady state at time <i>t</i> = 29.88. It is significant that nonlinear convection predominates over viscous dissipation and that nonlinear convection is influenced by magnetic fields. The results are described using plots and tables.</p>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"53 7","pages":"3547-3578"},"PeriodicalIF":2.8000,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Viscous dissipative transient MHD nonlinear convective slip flow of second-order with Newtonian heating on a stretching sheet\",\"authors\":\"R. Balamurugan\",\"doi\":\"10.1002/htj.23101\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The current study explores the transient magnetohydrodynamic (MHD) flow with the interaction of quadratic convection, slip of second-order momentum, viscous dissipation, and Newtonian heating. In this setup, the governing equations become highly nonlinear. The numerical solutions are attained by utilizing an implicit type of the Crank–Nicolson technique. The primary aim of the exploration is to figure out the consequence of MHD nonlinear convection and momentum slip of second-order on the overall behavior of the system. The robust agreement is evinced by numerical computations verified against existing research. Skin friction and Nusselt number decreases for second-order slips, <span></span><math>\\n <semantics>\\n <mrow>\\n <mrow>\\n <mi>δ</mi>\\n \\n <mo>=</mo>\\n \\n <mn>0</mn>\\n \\n <mo>,</mo>\\n \\n <mo>−</mo>\\n \\n <mn>2</mn>\\n \\n <mo>,</mo>\\n \\n <mo>−</mo>\\n \\n <mn>4</mn>\\n \\n <mo>,</mo>\\n \\n <mo>−</mo>\\n \\n <mn>8</mn>\\n </mrow>\\n </mrow>\\n <annotation> $\\\\delta =0,-2,-4,-8$</annotation>\\n </semantics></math>, and −16. And for <span></span><math>\\n <semantics>\\n <mrow>\\n <mrow>\\n <mi>γ</mi>\\n \\n <mo>=</mo>\\n \\n <mn>1.0</mn>\\n </mrow>\\n </mrow>\\n <annotation> $\\\\gamma =1.0$</annotation>\\n </semantics></math> and <span></span><math>\\n <semantics>\\n <mrow>\\n <mrow>\\n <mi>δ</mi>\\n \\n <mo>=</mo>\\n \\n <mo>-</mo>\\n \\n <mn>2.0</mn>\\n </mrow>\\n </mrow>\\n <annotation> $\\\\delta = \\\\mbox{-} 2.0$</annotation>\\n </semantics></math> the temporal coefficients of friction and heat transmission attain a steady state at time <i>t</i> = 29.88. It is significant that nonlinear convection predominates over viscous dissipation and that nonlinear convection is influenced by magnetic fields. The results are described using plots and tables.</p>\",\"PeriodicalId\":44939,\"journal\":{\"name\":\"Heat Transfer\",\"volume\":\"53 7\",\"pages\":\"3547-3578\"},\"PeriodicalIF\":2.8000,\"publicationDate\":\"2024-06-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Heat Transfer\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/htj.23101\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"THERMODYNAMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Heat Transfer","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/htj.23101","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"THERMODYNAMICS","Score":null,"Total":0}
Viscous dissipative transient MHD nonlinear convective slip flow of second-order with Newtonian heating on a stretching sheet
The current study explores the transient magnetohydrodynamic (MHD) flow with the interaction of quadratic convection, slip of second-order momentum, viscous dissipation, and Newtonian heating. In this setup, the governing equations become highly nonlinear. The numerical solutions are attained by utilizing an implicit type of the Crank–Nicolson technique. The primary aim of the exploration is to figure out the consequence of MHD nonlinear convection and momentum slip of second-order on the overall behavior of the system. The robust agreement is evinced by numerical computations verified against existing research. Skin friction and Nusselt number decreases for second-order slips, , and −16. And for and the temporal coefficients of friction and heat transmission attain a steady state at time t = 29.88. It is significant that nonlinear convection predominates over viscous dissipation and that nonlinear convection is influenced by magnetic fields. The results are described using plots and tables.
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