{"title":"具有热辐射的非线性拉伸薄片上Williamson流体的滞止点流动","authors":"M. Monica, J. Sucharitha, C. Kumar","doi":"10.9734/ACSJ/2016/25144","DOIUrl":null,"url":null,"abstract":"The present analysis deals with the study of stagnation point flow of a Williamson fluid over a nonlinearly stretching sheet with thermal radiation. The partial differential equations governing this phenomenon were transformed into coupled nonlinear ordinary differential equations with suitable similarity transformations. These equations were then solved by numerical technique known as Keller Box method. The various parameters such as Prandtl number (Pr), velocity ratio parameter( �), Williamson parameter ( λ) and Radiation parameter (R) and non linear stretching parameter (n) determining the velocity and temperature distributions, the local Skin friction coefficient and the local Nusselt number governing such a flow were also analyzed. On analysis it was found that the Williamson fluid parameter ( λ) decreased both the fluid velocity whereas an increase in ( λ) increased wall skin-friction coefficient. The wall temperature gradient increased with an increase in Pr but decreased with radiation parameter R.","PeriodicalId":7399,"journal":{"name":"American Chemical Science Journal","volume":"27 1","pages":"1-8"},"PeriodicalIF":0.0000,"publicationDate":"2016-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Stagnation Point Flow of a Williamson Fluid over a Nonlinearly Stretching Sheet with Thermal Radiation\",\"authors\":\"M. Monica, J. Sucharitha, C. Kumar\",\"doi\":\"10.9734/ACSJ/2016/25144\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The present analysis deals with the study of stagnation point flow of a Williamson fluid over a nonlinearly stretching sheet with thermal radiation. The partial differential equations governing this phenomenon were transformed into coupled nonlinear ordinary differential equations with suitable similarity transformations. These equations were then solved by numerical technique known as Keller Box method. The various parameters such as Prandtl number (Pr), velocity ratio parameter( �), Williamson parameter ( λ) and Radiation parameter (R) and non linear stretching parameter (n) determining the velocity and temperature distributions, the local Skin friction coefficient and the local Nusselt number governing such a flow were also analyzed. On analysis it was found that the Williamson fluid parameter ( λ) decreased both the fluid velocity whereas an increase in ( λ) increased wall skin-friction coefficient. The wall temperature gradient increased with an increase in Pr but decreased with radiation parameter R.\",\"PeriodicalId\":7399,\"journal\":{\"name\":\"American Chemical Science Journal\",\"volume\":\"27 1\",\"pages\":\"1-8\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-01-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"American Chemical Science Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.9734/ACSJ/2016/25144\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Chemical Science Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.9734/ACSJ/2016/25144","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stagnation Point Flow of a Williamson Fluid over a Nonlinearly Stretching Sheet with Thermal Radiation
The present analysis deals with the study of stagnation point flow of a Williamson fluid over a nonlinearly stretching sheet with thermal radiation. The partial differential equations governing this phenomenon were transformed into coupled nonlinear ordinary differential equations with suitable similarity transformations. These equations were then solved by numerical technique known as Keller Box method. The various parameters such as Prandtl number (Pr), velocity ratio parameter( �), Williamson parameter ( λ) and Radiation parameter (R) and non linear stretching parameter (n) determining the velocity and temperature distributions, the local Skin friction coefficient and the local Nusselt number governing such a flow were also analyzed. On analysis it was found that the Williamson fluid parameter ( λ) decreased both the fluid velocity whereas an increase in ( λ) increased wall skin-friction coefficient. The wall temperature gradient increased with an increase in Pr but decreased with radiation parameter R.