{"title":"纳米流体在均匀热量和质量通量下通过拉伸片的边界层流动","authors":"W. Khan, I. Pop","doi":"10.1520/JAI104363","DOIUrl":null,"url":null,"abstract":"The steady boundary layer flow resulting from the stretching of a flat surface with a velocity proportional to the distance from a fixed point in a nanofluid under uniform heat and mass flux has been investigated numerically and using the nanofluid model proposed by Buongiorno (“Convective Transport in Nanofluids, ASME J. Heat Transfer, Vol. 128, 2006, pp. 240–250). The effects of Brownian motion and thermophoresis are incorporated in the model in order to obtain similarity solutions of the governing equations in terms of different parameters. The variation of the reduced Nusselt and reduced Sherwood numbers with the Prandtl number (Pr) and the Lewis number (Le) for various values of the Brownian motion parameter (Nb) and the thermophoresis parameter (Nt) is presented in tabular and graphical forms. It was found that the reduced Nusselt number is a decreasing function of each parameter (Pr, Le, Nb, and Nt), whereas the reduced Sherwood number is an increasing function of Nb and a decreasing function of Nt for each Le and Pr number.","PeriodicalId":15057,"journal":{"name":"Journal of Astm International","volume":"78 1","pages":"104363"},"PeriodicalIF":0.0000,"publicationDate":"2012-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Boundary-Layer Flow of a Nanofluid past a Stretching Sheet under Uniform Heat and Mass Flux\",\"authors\":\"W. Khan, I. Pop\",\"doi\":\"10.1520/JAI104363\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The steady boundary layer flow resulting from the stretching of a flat surface with a velocity proportional to the distance from a fixed point in a nanofluid under uniform heat and mass flux has been investigated numerically and using the nanofluid model proposed by Buongiorno (“Convective Transport in Nanofluids, ASME J. Heat Transfer, Vol. 128, 2006, pp. 240–250). The effects of Brownian motion and thermophoresis are incorporated in the model in order to obtain similarity solutions of the governing equations in terms of different parameters. The variation of the reduced Nusselt and reduced Sherwood numbers with the Prandtl number (Pr) and the Lewis number (Le) for various values of the Brownian motion parameter (Nb) and the thermophoresis parameter (Nt) is presented in tabular and graphical forms. It was found that the reduced Nusselt number is a decreasing function of each parameter (Pr, Le, Nb, and Nt), whereas the reduced Sherwood number is an increasing function of Nb and a decreasing function of Nt for each Le and Pr number.\",\"PeriodicalId\":15057,\"journal\":{\"name\":\"Journal of Astm International\",\"volume\":\"78 1\",\"pages\":\"104363\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Astm International\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1520/JAI104363\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Astm International","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1520/JAI104363","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
利用Buongiorno提出的纳米流体模型(“纳米流体中的对流传输,ASME J. heat Transfer, Vol. 128, 2006, pp. 240-250”),对均匀热量和质量通量下由平面表面拉伸产生的稳定边界层流动进行了数值研究。为了得到控制方程在不同参数下的相似解,在模型中考虑了布朗运动和热泳运动的影响。在不同的布朗运动参数(Nb)和热泳参数(Nt)值下,约简Nusselt数和约简Sherwood数随普朗特数(Pr)和路易斯数(Le)的变化以表格和图形形式给出。研究发现,约简Nusselt数是每个参数(Pr、Le、Nb和Nt)的递减函数,而约简Sherwood数是每个Le和Pr数的Nb递增函数和Nt递减函数。
Boundary-Layer Flow of a Nanofluid past a Stretching Sheet under Uniform Heat and Mass Flux
The steady boundary layer flow resulting from the stretching of a flat surface with a velocity proportional to the distance from a fixed point in a nanofluid under uniform heat and mass flux has been investigated numerically and using the nanofluid model proposed by Buongiorno (“Convective Transport in Nanofluids, ASME J. Heat Transfer, Vol. 128, 2006, pp. 240–250). The effects of Brownian motion and thermophoresis are incorporated in the model in order to obtain similarity solutions of the governing equations in terms of different parameters. The variation of the reduced Nusselt and reduced Sherwood numbers with the Prandtl number (Pr) and the Lewis number (Le) for various values of the Brownian motion parameter (Nb) and the thermophoresis parameter (Nt) is presented in tabular and graphical forms. It was found that the reduced Nusselt number is a decreasing function of each parameter (Pr, Le, Nb, and Nt), whereas the reduced Sherwood number is an increasing function of Nb and a decreasing function of Nt for each Le and Pr number.