Motivated by the significant role of nanofluid in pollution cleaning and energy recovery, we decided to explore the unsteady three-dimensional rotating flow of nanofluid driven by the movement of a flat surface with the potencies of prescribed heat distributions. The modeling of the physical model is completed with the help of Buongiorno nanofluid model. Suitable arrangement of similarity variables is implemented to transform the model equations into strongly nonlinear ordinary differential equations. Numerical inspection of the model is made by employing Keller–Box algorithm. Influences of involved parameters on the distributions of heat and mass are discussed graphically, while the potencies of influential parameters on reduced Nusselt and reduced Sherwood numbers are physically discussed through tabular arrangements. It is deduced that increasing the values of Prandtl factor and heat controlling indices diminishes the temperature and concentration distributions, whereas intensification in the amount of rotation factor enhances the temperature as well as concentration distribution. Moreover, negative trends in the amounts of reduced Nusselt and Sherwood numbers are achieved with the escalations in the values of rotation and thermophoresis factors, whereas opposite trend is achieved with the intensification in the choice of Prandtl factor.

中文翻译：

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具有规定热方面的纳米流体的非定常旋转流动

受纳米流体在污染清洁和能量回收中的重要作用的启发，我们决定探索由具有规定热分布效力的平面运动驱动的纳米流体的不稳定三维旋转流动。物理模型的建模是在 Buongiorno 纳米流体模型的帮助下完成的。实施相似变量的适当排列以将模型方程转换为强非线性常微分方程。采用 Keller-Box 算法对模型进行数值检验。所涉及的参数对热量和质量分布的影响以图形方式讨论，而影响参数对减少的努塞尔数和减少的舍伍德数的效力通过表格排列进行物理讨论。推断增加普朗特因子和热控制指数的值会减小温度和浓度分布，而增加旋转因子的量会增强温度和浓度分布。此外，随着旋转和热泳因子值的增加，Nusselt 和 Sherwood 数的减少量呈负趋势，而随着 Prandtl 因子选择的加强，实现了相反的趋势。