{"title":"熵产生的混合纳米材料流的 SAT 公式：修正的卡塔尼奥-克里斯托夫分析","authors":"Sohail A. Khan , Aneeta Razaq , Tasawar Hayat","doi":"10.1016/j.rineng.2024.102895","DOIUrl":null,"url":null,"abstract":"<div><div>Heat transport phenomena involve various applications and fields like engineering, industry, pharmaceutical and coolant in machining, manufacturing etc. In view of such applications hydromagnetic entropy optimized flow of hybrid nanoliquid is organized. Porous space is deliberated by Darcy-Forchheimer model. Cobalt ferrite (<span><math><mrow><mi>C</mi><mi>o</mi><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>4</mn></msub></mrow></math></span>) and ferric oxide (<span><math><mrow><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub></mrow></math></span>) nanoparticles are employed in conventional liquid (ethylene glycol) to form hybrid nanoliquid. Thermal analysis is carried out through development of heat flux based upon Cattaneo-Christov theory. Ohmic heating, heat generation and dissipation effects are discussed. Entropy optimization is under consideration. Nonlinear problems are transformed into non-dimensional ordinary system through adequate transformations. Governed system by Newton built in-shooting scheme is computed. Entropy rate, liquid flow and thermal distribution for nanofluid (<span><math><mrow><mi>C</mi><mi>o</mi><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>4</mn></msub><mo>/</mo><msub><mi>C</mi><mn>2</mn></msub><msub><mi>H</mi><mn>6</mn></msub><msub><mi>O</mi><mn>2</mn></msub></mrow></math></span>) and hybrid nanoliquid (<span><math><mrow><mi>C</mi><mi>o</mi><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>4</mn></msub><mo>+</mo><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub><mo>/</mo><msub><mi>C</mi><mn>2</mn></msub><msub><mi>H</mi><mn>6</mn></msub><msub><mi>O</mi><mn>2</mn></msub></mrow></math></span>) are explored. Numerical results of Nusselt number and skin friction coefficient versus influential variables for nanoliquid (<span><math><mrow><mi>C</mi><mi>o</mi><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>4</mn></msub><mo>/</mo><msub><mi>C</mi><mn>2</mn></msub><msub><mi>H</mi><mn>6</mn></msub><msub><mi>O</mi><mn>2</mn></msub></mrow></math></span>) and hybrid nanoliquid (<span><math><mrow><mi>C</mi><mi>o</mi><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>4</mn></msub><mo>+</mo><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub><mo>/</mo><msub><mi>C</mi><mn>2</mn></msub><msub><mi>H</mi><mn>6</mn></msub><msub><mi>O</mi><mn>2</mn></msub></mrow></math></span>) are studied. Higher magnetic field intensify entropy rate and temperature whereas opposite trend witnessed for velocity. An intensification in surface drag force occurs for magnetic and solid volume fraction variables. Larger thermal relaxation time variable leads to rise Nusselt number and temperature. Higher approximation of porosity variable corresponds to increase entropy rate while reverse impact observed for liquid flow.</div></div>","PeriodicalId":36919,"journal":{"name":"Results in Engineering","volume":"24 ","pages":"Article 102895"},"PeriodicalIF":6.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2590123024011502/pdfft?md5=c55e61a2fc7071eb76d0c4408ebe0e3a&pid=1-s2.0-S2590123024011502-main.pdf","citationCount":"0","resultStr":"{\"title\":\"SAT formulation for entropy generated hybrid nanomaterial flow: Modified Cattaneo-Christov analysis\",\"authors\":\"Sohail A. Khan , Aneeta Razaq , Tasawar Hayat\",\"doi\":\"10.1016/j.rineng.2024.102895\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Heat transport phenomena involve various applications and fields like engineering, industry, pharmaceutical and coolant in machining, manufacturing etc. In view of such applications hydromagnetic entropy optimized flow of hybrid nanoliquid is organized. Porous space is deliberated by Darcy-Forchheimer model. Cobalt ferrite (<span><math><mrow><mi>C</mi><mi>o</mi><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>4</mn></msub></mrow></math></span>) and ferric oxide (<span><math><mrow><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub></mrow></math></span>) nanoparticles are employed in conventional liquid (ethylene glycol) to form hybrid nanoliquid. Thermal analysis is carried out through development of heat flux based upon Cattaneo-Christov theory. Ohmic heating, heat generation and dissipation effects are discussed. Entropy optimization is under consideration. Nonlinear problems are transformed into non-dimensional ordinary system through adequate transformations. Governed system by Newton built in-shooting scheme is computed. Entropy rate, liquid flow and thermal distribution for nanofluid (<span><math><mrow><mi>C</mi><mi>o</mi><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>4</mn></msub><mo>/</mo><msub><mi>C</mi><mn>2</mn></msub><msub><mi>H</mi><mn>6</mn></msub><msub><mi>O</mi><mn>2</mn></msub></mrow></math></span>) and hybrid nanoliquid (<span><math><mrow><mi>C</mi><mi>o</mi><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>4</mn></msub><mo>+</mo><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub><mo>/</mo><msub><mi>C</mi><mn>2</mn></msub><msub><mi>H</mi><mn>6</mn></msub><msub><mi>O</mi><mn>2</mn></msub></mrow></math></span>) are explored. Numerical results of Nusselt number and skin friction coefficient versus influential variables for nanoliquid (<span><math><mrow><mi>C</mi><mi>o</mi><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>4</mn></msub><mo>/</mo><msub><mi>C</mi><mn>2</mn></msub><msub><mi>H</mi><mn>6</mn></msub><msub><mi>O</mi><mn>2</mn></msub></mrow></math></span>) and hybrid nanoliquid (<span><math><mrow><mi>C</mi><mi>o</mi><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>4</mn></msub><mo>+</mo><mi>F</mi><msub><mi>e</mi><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub><mo>/</mo><msub><mi>C</mi><mn>2</mn></msub><msub><mi>H</mi><mn>6</mn></msub><msub><mi>O</mi><mn>2</mn></msub></mrow></math></span>) are studied. Higher magnetic field intensify entropy rate and temperature whereas opposite trend witnessed for velocity. An intensification in surface drag force occurs for magnetic and solid volume fraction variables. Larger thermal relaxation time variable leads to rise Nusselt number and temperature. Higher approximation of porosity variable corresponds to increase entropy rate while reverse impact observed for liquid flow.</div></div>\",\"PeriodicalId\":36919,\"journal\":{\"name\":\"Results in Engineering\",\"volume\":\"24 \",\"pages\":\"Article 102895\"},\"PeriodicalIF\":6.0000,\"publicationDate\":\"2024-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2590123024011502/pdfft?md5=c55e61a2fc7071eb76d0c4408ebe0e3a&pid=1-s2.0-S2590123024011502-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Results in Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2590123024011502\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Engineering","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2590123024011502","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
SAT formulation for entropy generated hybrid nanomaterial flow: Modified Cattaneo-Christov analysis
Heat transport phenomena involve various applications and fields like engineering, industry, pharmaceutical and coolant in machining, manufacturing etc. In view of such applications hydromagnetic entropy optimized flow of hybrid nanoliquid is organized. Porous space is deliberated by Darcy-Forchheimer model. Cobalt ferrite () and ferric oxide () nanoparticles are employed in conventional liquid (ethylene glycol) to form hybrid nanoliquid. Thermal analysis is carried out through development of heat flux based upon Cattaneo-Christov theory. Ohmic heating, heat generation and dissipation effects are discussed. Entropy optimization is under consideration. Nonlinear problems are transformed into non-dimensional ordinary system through adequate transformations. Governed system by Newton built in-shooting scheme is computed. Entropy rate, liquid flow and thermal distribution for nanofluid () and hybrid nanoliquid () are explored. Numerical results of Nusselt number and skin friction coefficient versus influential variables for nanoliquid () and hybrid nanoliquid () are studied. Higher magnetic field intensify entropy rate and temperature whereas opposite trend witnessed for velocity. An intensification in surface drag force occurs for magnetic and solid volume fraction variables. Larger thermal relaxation time variable leads to rise Nusselt number and temperature. Higher approximation of porosity variable corresponds to increase entropy rate while reverse impact observed for liquid flow.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
