{"title":"纳米流体在拉伸平面上流动的灵敏度分析","authors":"A Shahzad, W A Khan, R Gul","doi":"10.1007/s12043-022-02493-x","DOIUrl":null,"url":null,"abstract":"<div><p>In this study, the sensitivity caused by the input parameters, such as Lewis number (<span>\\(L_e\\)</span>), thermophoresis parameter (<span>\\(N_t\\)</span>) and Brownian motion parameter (<span>\\(N_b\\)</span>) of a nanofluid flow past a stretching flat surface is studied using response surface methodology (RSM). The mathematical model is solved using numerical technique and Nusselt and Sherwood numbers are considered as quantities of interest. The involved parameters, such as Lewis number, thermophoresis parameter and Brownian motion parameter, are varied for arbitrary values in the interval. A central composite design is used to obtain the quadratic model for the output, such as Nusselt and Sherwood numbers. It is found that reduced Nusselt number is most sensitive towards the Brownian motion parameter (<span>\\(N_b\\)</span>) in the interval <span>\\(5\\le L_e \\le 25\\)</span>. Sherwood number is sensitive towards thermophoresis parameter in the interval <span>\\(5\\le L_e \\le 25\\)</span> for fixed Brownian motion parameter (<span>\\(N_b=0.3\\)</span>).</p></div>","PeriodicalId":743,"journal":{"name":"Pramana","volume":"97 1","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2023-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s12043-022-02493-x.pdf","citationCount":"1","resultStr":"{\"title\":\"Sensitivity analysis of the nanofluid flow over a stretching flat surface\",\"authors\":\"A Shahzad, W A Khan, R Gul\",\"doi\":\"10.1007/s12043-022-02493-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this study, the sensitivity caused by the input parameters, such as Lewis number (<span>\\\\(L_e\\\\)</span>), thermophoresis parameter (<span>\\\\(N_t\\\\)</span>) and Brownian motion parameter (<span>\\\\(N_b\\\\)</span>) of a nanofluid flow past a stretching flat surface is studied using response surface methodology (RSM). The mathematical model is solved using numerical technique and Nusselt and Sherwood numbers are considered as quantities of interest. The involved parameters, such as Lewis number, thermophoresis parameter and Brownian motion parameter, are varied for arbitrary values in the interval. A central composite design is used to obtain the quadratic model for the output, such as Nusselt and Sherwood numbers. It is found that reduced Nusselt number is most sensitive towards the Brownian motion parameter (<span>\\\\(N_b\\\\)</span>) in the interval <span>\\\\(5\\\\le L_e \\\\le 25\\\\)</span>. Sherwood number is sensitive towards thermophoresis parameter in the interval <span>\\\\(5\\\\le L_e \\\\le 25\\\\)</span> for fixed Brownian motion parameter (<span>\\\\(N_b=0.3\\\\)</span>).</p></div>\",\"PeriodicalId\":743,\"journal\":{\"name\":\"Pramana\",\"volume\":\"97 1\",\"pages\":\"\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2023-01-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s12043-022-02493-x.pdf\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pramana\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s12043-022-02493-x\",\"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/s12043-022-02493-x","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}
Sensitivity analysis of the nanofluid flow over a stretching flat surface
In this study, the sensitivity caused by the input parameters, such as Lewis number (\(L_e\)), thermophoresis parameter (\(N_t\)) and Brownian motion parameter (\(N_b\)) of a nanofluid flow past a stretching flat surface is studied using response surface methodology (RSM). The mathematical model is solved using numerical technique and Nusselt and Sherwood numbers are considered as quantities of interest. The involved parameters, such as Lewis number, thermophoresis parameter and Brownian motion parameter, are varied for arbitrary values in the interval. A central composite design is used to obtain the quadratic model for the output, such as Nusselt and Sherwood numbers. It is found that reduced Nusselt number is most sensitive towards the Brownian motion parameter (\(N_b\)) in the interval \(5\le L_e \le 25\). Sherwood number is sensitive towards thermophoresis parameter in the interval \(5\le L_e \le 25\) for fixed Brownian motion parameter (\(N_b=0.3\)).
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.
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