{"title":"The Thin Film Flow of Walter’s B Fluid over the Surface of a Stretching Cylinder with Heat and Mass Transfer Analysis","authors":"W. Khan, T. Gul","doi":"10.4172/2168-9679.1000411","DOIUrl":null,"url":null,"abstract":"The main objective of this work is to study the performance of the boundary layer flow considering non-Newtonian Walter’s B fluid over the surface of an unstable cylinder to protect the surface of the cylinder from external heating and cooling. The Soret and Dufour properties with heat and mass transmission have been encountered in the flow field. Using the appropriate similarity transformations the leading PDE’s for the flow field have been altered into high ordered non-linear coupled ODE’s. Series solutions of the subsequent problem are computed by using controlling procedure homotopy analysis method. The properties of the included physical parameters in the problem, like Reynolds number, Walter’s B fluid parameter, Prandtl number, Schmidt numbers, Dufour and Soret numbers have been illustrated. The behavior of Skin friction, Sherwood number and local Nusselt number have been described numerically for the dynamic constraints of the problem and the comparison of these physical parameters have been displayed with the experimental consequences in the existent literature. The optimal convergence of the applied method has been patterned by plotting h-curves. Finally, the results, obtained from HAM, have been justified through numerical (ND-Solve) method and tabulated comparison. Citation: Khan W, Gul T (2018) The Thin Film Flow of Walter’s B Fluid over the Surface of a Stretching Cylinder with Heat and Mass Transfer Analysis. J Appl Computat Math 7: 411. doi: 10.4172/2168-9679.1000411","PeriodicalId":15007,"journal":{"name":"Journal of Applied and Computational Mathematics","volume":"2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Computational Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4172/2168-9679.1000411","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The main objective of this work is to study the performance of the boundary layer flow considering non-Newtonian Walter’s B fluid over the surface of an unstable cylinder to protect the surface of the cylinder from external heating and cooling. The Soret and Dufour properties with heat and mass transmission have been encountered in the flow field. Using the appropriate similarity transformations the leading PDE’s for the flow field have been altered into high ordered non-linear coupled ODE’s. Series solutions of the subsequent problem are computed by using controlling procedure homotopy analysis method. The properties of the included physical parameters in the problem, like Reynolds number, Walter’s B fluid parameter, Prandtl number, Schmidt numbers, Dufour and Soret numbers have been illustrated. The behavior of Skin friction, Sherwood number and local Nusselt number have been described numerically for the dynamic constraints of the problem and the comparison of these physical parameters have been displayed with the experimental consequences in the existent literature. The optimal convergence of the applied method has been patterned by plotting h-curves. Finally, the results, obtained from HAM, have been justified through numerical (ND-Solve) method and tabulated comparison. Citation: Khan W, Gul T (2018) The Thin Film Flow of Walter’s B Fluid over the Surface of a Stretching Cylinder with Heat and Mass Transfer Analysis. J Appl Computat Math 7: 411. doi: 10.4172/2168-9679.1000411
本工作的主要目的是研究考虑非牛顿沃尔特B流体在不稳定圆柱体表面上保护圆柱体表面免受外部加热和冷却的边界层流动的性能。在流场中遇到了传热传质的Soret和Dufour性质。通过适当的相似变换,将流场的前导偏微分方程转化为高阶非线性耦合偏微分方程。利用控制过程同伦分析法计算了后续问题的级数解。给出了问题中包含的物理参数的性质,如雷诺数、Walter’s B流体参数、普朗特数、施密特数、杜福尔数和索雷特数。本文用数值方法描述了该问题的动力学约束的Skin摩擦行为、Sherwood数和局部Nusselt数,并将这些物理参数与已有文献的实验结果进行了比较。通过绘制h曲线对所应用方法的最优收敛性进行了图示。最后,通过数值(ND-Solve)方法和制表比较验证了从HAM得到的结果。引用本文:Khan W, Gul T (2018) Walter 's B流体在拉伸圆柱体表面的薄膜流动及其传热传质分析。[J]计算机数学,第7卷第4节。doi: 10.4172 / 2168 - 9679.1000411