Farwa Waseem, Muhammad Sohail, Nadia Sarhan, Emad Mahrous Awwad, Muhammad Jahangir Khan
{"title":"利用OHAM研究混合纳米流体中熵的产生,并利用辐射现象建立随温度变化的导热模型","authors":"Farwa Waseem, Muhammad Sohail, Nadia Sarhan, Emad Mahrous Awwad, Muhammad Jahangir Khan","doi":"10.1515/phys-2024-0059","DOIUrl":null,"url":null,"abstract":"This investigation takes into account the flow of a hybrid copper–molybdenum disulfide <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0059_eq_001.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mo>(</m:mo> <m:mi mathvariant=\"normal\">Cu</m:mi> <m:mi mathvariant=\"normal\">–</m:mi> <m:msub> <m:mrow> <m:mi mathvariant=\"normal\">MoS</m:mi> </m:mrow> <m:mrow> <m:mn>2</m:mn> </m:mrow> </m:msub> <m:mo>)</m:mo> </m:math> <jats:tex-math>\\left({\\rm{Cu}}{\\rm{\\mbox{--}}}{{\\rm{MoS}}}_{2})</jats:tex-math> </jats:alternatives> </jats:inline-formula>/water nanofluid across a plane flat surface that has been nonlinearly extended in lateral directions. Suitable boundary conditions are used to characterize the nonlinear variants in the velocity and temperature profile of the sheet. The innovative aspect of this work is to examine the impact of thermal conductivity on temperature and entropy across an extended surface using hybrid nanofluids. We obtain numerical techniques of modified boundary layer ordinary differential equations using the effective and reliable optimal homotopy analysis technique (OHAM). A graphic depiction of the influence of several parameters is shown. In this case, the hybrid model takes into account <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0059_eq_002.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mn>0.01</m:mn> </m:math> <jats:tex-math>0.01</jats:tex-math> </jats:alternatives> </jats:inline-formula> of copper <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0059_eq_003.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mo>(</m:mo> <m:mi mathvariant=\"normal\">Cu</m:mi> <m:mo>)</m:mo> </m:math> <jats:tex-math>\\left({\\rm{Cu}})</jats:tex-math> </jats:alternatives> </jats:inline-formula> and <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0059_eq_004.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mn>0.01</m:mn> </m:math> <jats:tex-math>0.01</jats:tex-math> </jats:alternatives> </jats:inline-formula> of molybdenum disulfide <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" xlink:href=\"graphic/j_phys-2024-0059_eq_005.png\"/> <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:msub> <m:mrow> <m:mo>(</m:mo> <m:mi mathvariant=\"normal\">MoS</m:mi> </m:mrow> <m:mrow> <m:mn>2</m:mn> </m:mrow> </m:msub> <m:mo>)</m:mo> </m:math> <jats:tex-math>{({\\rm{MoS}}}_{2})</jats:tex-math> </jats:alternatives> </jats:inline-formula> nanoparticles within base fluid water. The second principle of thermodynamics is used to compute the irreversibility factor. The performance of nanofluid and hybrid nanofluid was compared for pivotal velocity, temperature profile, and entropy formation. The estimated skin friction and Nusselt number are the significant physical parameters. It can be observed that when the values of the stretching rate ratio and power index law increase, the skin friction increases, but it can have the opposite behavior compared to the Nusselt number.","PeriodicalId":48710,"journal":{"name":"Open Physics","volume":null,"pages":null},"PeriodicalIF":1.8000,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Utilization of OHAM to investigate entropy generation with a temperature-dependent thermal conductivity model in hybrid nanofluid using the radiation phenomenon\",\"authors\":\"Farwa Waseem, Muhammad Sohail, Nadia Sarhan, Emad Mahrous Awwad, Muhammad Jahangir Khan\",\"doi\":\"10.1515/phys-2024-0059\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This investigation takes into account the flow of a hybrid copper–molybdenum disulfide <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\" xlink:href=\\\"graphic/j_phys-2024-0059_eq_001.png\\\"/> <m:math xmlns:m=\\\"http://www.w3.org/1998/Math/MathML\\\"> <m:mo>(</m:mo> <m:mi mathvariant=\\\"normal\\\">Cu</m:mi> <m:mi mathvariant=\\\"normal\\\">–</m:mi> <m:msub> <m:mrow> <m:mi mathvariant=\\\"normal\\\">MoS</m:mi> </m:mrow> <m:mrow> <m:mn>2</m:mn> </m:mrow> </m:msub> <m:mo>)</m:mo> </m:math> <jats:tex-math>\\\\left({\\\\rm{Cu}}{\\\\rm{\\\\mbox{--}}}{{\\\\rm{MoS}}}_{2})</jats:tex-math> </jats:alternatives> </jats:inline-formula>/water nanofluid across a plane flat surface that has been nonlinearly extended in lateral directions. Suitable boundary conditions are used to characterize the nonlinear variants in the velocity and temperature profile of the sheet. The innovative aspect of this work is to examine the impact of thermal conductivity on temperature and entropy across an extended surface using hybrid nanofluids. We obtain numerical techniques of modified boundary layer ordinary differential equations using the effective and reliable optimal homotopy analysis technique (OHAM). A graphic depiction of the influence of several parameters is shown. In this case, the hybrid model takes into account <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\" xlink:href=\\\"graphic/j_phys-2024-0059_eq_002.png\\\"/> <m:math xmlns:m=\\\"http://www.w3.org/1998/Math/MathML\\\"> <m:mn>0.01</m:mn> </m:math> <jats:tex-math>0.01</jats:tex-math> </jats:alternatives> </jats:inline-formula> of copper <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\" xlink:href=\\\"graphic/j_phys-2024-0059_eq_003.png\\\"/> <m:math xmlns:m=\\\"http://www.w3.org/1998/Math/MathML\\\"> <m:mo>(</m:mo> <m:mi mathvariant=\\\"normal\\\">Cu</m:mi> <m:mo>)</m:mo> </m:math> <jats:tex-math>\\\\left({\\\\rm{Cu}})</jats:tex-math> </jats:alternatives> </jats:inline-formula> and <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\" xlink:href=\\\"graphic/j_phys-2024-0059_eq_004.png\\\"/> <m:math xmlns:m=\\\"http://www.w3.org/1998/Math/MathML\\\"> <m:mn>0.01</m:mn> </m:math> <jats:tex-math>0.01</jats:tex-math> </jats:alternatives> </jats:inline-formula> of molybdenum disulfide <jats:inline-formula> <jats:alternatives> <jats:inline-graphic xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\" xlink:href=\\\"graphic/j_phys-2024-0059_eq_005.png\\\"/> <m:math xmlns:m=\\\"http://www.w3.org/1998/Math/MathML\\\"> <m:msub> <m:mrow> <m:mo>(</m:mo> <m:mi mathvariant=\\\"normal\\\">MoS</m:mi> </m:mrow> <m:mrow> <m:mn>2</m:mn> </m:mrow> </m:msub> <m:mo>)</m:mo> </m:math> <jats:tex-math>{({\\\\rm{MoS}}}_{2})</jats:tex-math> </jats:alternatives> </jats:inline-formula> nanoparticles within base fluid water. The second principle of thermodynamics is used to compute the irreversibility factor. The performance of nanofluid and hybrid nanofluid was compared for pivotal velocity, temperature profile, and entropy formation. The estimated skin friction and Nusselt number are the significant physical parameters. It can be observed that when the values of the stretching rate ratio and power index law increase, the skin friction increases, but it can have the opposite behavior compared to the Nusselt number.\",\"PeriodicalId\":48710,\"journal\":{\"name\":\"Open Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2024-07-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Open Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1515/phys-2024-0059\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1515/phys-2024-0059","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Utilization of OHAM to investigate entropy generation with a temperature-dependent thermal conductivity model in hybrid nanofluid using the radiation phenomenon
This investigation takes into account the flow of a hybrid copper–molybdenum disulfide (Cu–MoS2)\left({\rm{Cu}}{\rm{\mbox{--}}}{{\rm{MoS}}}_{2})/water nanofluid across a plane flat surface that has been nonlinearly extended in lateral directions. Suitable boundary conditions are used to characterize the nonlinear variants in the velocity and temperature profile of the sheet. The innovative aspect of this work is to examine the impact of thermal conductivity on temperature and entropy across an extended surface using hybrid nanofluids. We obtain numerical techniques of modified boundary layer ordinary differential equations using the effective and reliable optimal homotopy analysis technique (OHAM). A graphic depiction of the influence of several parameters is shown. In this case, the hybrid model takes into account 0.010.01 of copper (Cu)\left({\rm{Cu}}) and 0.010.01 of molybdenum disulfide (MoS2){({\rm{MoS}}}_{2}) nanoparticles within base fluid water. The second principle of thermodynamics is used to compute the irreversibility factor. The performance of nanofluid and hybrid nanofluid was compared for pivotal velocity, temperature profile, and entropy formation. The estimated skin friction and Nusselt number are the significant physical parameters. It can be observed that when the values of the stretching rate ratio and power index law increase, the skin friction increases, but it can have the opposite behavior compared to the Nusselt number.
期刊介绍:
Open Physics is a peer-reviewed, open access, electronic journal devoted to the publication of fundamental research results in all fields of physics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind.