Om Prakash, P S Rao, Ram Prakash Sharma, S R Mishra
{"title":"混合纳米流体MHD在热辐射、热源和粘性耗散的作用下向指数拉伸/收缩薄片运动","authors":"Om Prakash, P S Rao, Ram Prakash Sharma, S R Mishra","doi":"10.1007/s12043-023-02533-0","DOIUrl":null,"url":null,"abstract":"<div><p>In this article, the heat transfer of Al<span>\\(_2 \\textrm{O}_3\\)</span>–Cu/H<span>\\(_2\\)</span>O in the magnetohydrodynamic (MHD) stagnation point flow in the direction of an exponentially stretching/shrinking sheet with the effect of heat source, thermal radiation and viscous dissipation is examined. The inclusion of dissipative heat, thermal radiation and additional heat source enriches the study as well. Using suitable similarity transformations, the governing partial differential equations are transformed into ordinary differential equations (ODEs). The ODEs are solved numerically by the built-in function bvp4c in MATLAB. By the addition of nanoparticle, effects of various parameters were studied, and the outcomes revealed that the skin friction coefficient decreases and the local Nusselt number increases. In comparison, viscous dissipation causes an improvement in the fluid thermal state and, as a result, triggers the thermal boundary layer to rise.\n</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 2","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2023-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Hybrid nanofluid MHD motion towards an exponentially stretching/shrinking sheet with the effect of thermal radiation, heat source and viscous dissipation\",\"authors\":\"Om Prakash, P S Rao, Ram Prakash Sharma, S R Mishra\",\"doi\":\"10.1007/s12043-023-02533-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this article, the heat transfer of Al<span>\\\\(_2 \\\\textrm{O}_3\\\\)</span>–Cu/H<span>\\\\(_2\\\\)</span>O in the magnetohydrodynamic (MHD) stagnation point flow in the direction of an exponentially stretching/shrinking sheet with the effect of heat source, thermal radiation and viscous dissipation is examined. The inclusion of dissipative heat, thermal radiation and additional heat source enriches the study as well. Using suitable similarity transformations, the governing partial differential equations are transformed into ordinary differential equations (ODEs). The ODEs are solved numerically by the built-in function bvp4c in MATLAB. By the addition of nanoparticle, effects of various parameters were studied, and the outcomes revealed that the skin friction coefficient decreases and the local Nusselt number increases. In comparison, viscous dissipation causes an improvement in the fluid thermal state and, as a result, triggers the thermal boundary layer to rise.\\n</p></div>\",\"PeriodicalId\":743,\"journal\":{\"name\":\"Pramana\",\"volume\":\"97 2\",\"pages\":\"\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2023-04-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pramana\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s12043-023-02533-0\",\"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":"Pramana","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s12043-023-02533-0","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}
Hybrid nanofluid MHD motion towards an exponentially stretching/shrinking sheet with the effect of thermal radiation, heat source and viscous dissipation
In this article, the heat transfer of Al\(_2 \textrm{O}_3\)–Cu/H\(_2\)O in the magnetohydrodynamic (MHD) stagnation point flow in the direction of an exponentially stretching/shrinking sheet with the effect of heat source, thermal radiation and viscous dissipation is examined. The inclusion of dissipative heat, thermal radiation and additional heat source enriches the study as well. Using suitable similarity transformations, the governing partial differential equations are transformed into ordinary differential equations (ODEs). The ODEs are solved numerically by the built-in function bvp4c in MATLAB. By the addition of nanoparticle, effects of various parameters were studied, and the outcomes revealed that the skin friction coefficient decreases and the local Nusselt number increases. In comparison, viscous dissipation causes an improvement in the fluid thermal state and, as a result, triggers the thermal boundary layer to rise.
期刊介绍:
Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.