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Stagnation-point flow of Jeffrey fluid with melting heat transfer and Soret and Dufour effects

机译:Jeffrey流体的滞点流,具有熔化传热以及Soret和Dufour效应

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Purpose - This investigation has been carried out for thermal-diffusion (Dufour) and diffusion-thermo (Soret) effects on the boundary layer flow of Jeffrey fluid in the region of stagnation-point towards a stretching sheet. Heat transfer occurring during the melting process due to a stretching sheet is considered. The paper aims to discuss these issues. Design/methodology/approach - The authors convert governing partial differential equations into ordinary differential equations by using suitable transformations. Analytic solutions of velocity and temperature are found by using homotopy analysis method (HAM). Further graphs are displayed to study the salient features of embedding parameters. Expressions of skin friction coefficient, local Nusselt number and local Sherwood number have also been derived and examined. Findings - It is found that velocity and the boundary layer thickness are increasing functions of viscoelastic parameter (Deborah number). An increase in the melting process enhances the fluid velocity. An opposite effect of melting heat process is noticed on velocity and skin friction. Practical implications - The boundary layer flow in non-Newtonian fluids is very important in many applications including polymer and food processing, transpiration cooling, drag reduction, thermal oil recovery and ice and magma flows. Further, the thermal diffusion effect is employed for isotope separation and in mixtures between gases with very light and medium molecular weight. Originality/value - Very scarce literature is available on thermal-diffusion (Dufour) and diffusion-thermo (Soret) effects on the boundary layer flow of Jeffrey fluid in the region of stagnation-point towards a stretching sheet with melting heat transfer. Series solution is developed using HAM. Further, the authors compare the present results with the existing in literature and found excellent agreement.
机译:目的-这项研究是针对热扩散(Dufour)和扩散热(Soret)对Jeffrey流体在停滞点区域向拉伸片区域的边界层流动的影响而进行的。考虑到在熔融过程中由于拉伸片而发生的热传递。本文旨在讨论这些问题。设计/方法/方法-作者通过使用适当的转换将控制性偏微分方程转换为常微分方程。速度和温度的解析解可以通过同伦分析法(HAM)找到。显示更多图形以研究嵌入参数的显着特征。皮肤摩擦系数,局部Nusselt数和局部Sherwood数的表达式也已得到推导和检验。发现-发现速度和边界层厚度是粘弹性参数(Deborah数)的递增函数。熔化过程的增加会提高流体速度。熔融热过程对速度和皮肤摩擦的作用相反。实际意义-非牛顿流体中的边界层流在许多应用中非常重要,包括聚合物和食品加工,蒸腾冷却,减阻,热油回收以及冰和岩浆流。此外,热扩散效应被用于同位素分离以及分子量极轻和中等分子量的气体之间的混合物。独创性/价值-关于热扩散(Dufour)和扩散热(Soret)对Jeffrey流体在停滞点区域向具有熔融传热作用的拉伸片的边界层流动的影响的文献很少。系列解决方案是使用HAM开发的。此外,作者将当前结果与文献中的现有结果进行了比较,并发现了极好的一致性。

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