Abstract A mathematical study is analyzed to explore the impact of zero normal flux condition on boundary layer flow of Carreau-Yasuda nanofluid flow over a heated surface. In this case the mean flow does not give the analytical solution of the Navier-Stocks, temperature, and concentration equations, hence for high Reynold's number the flow of boundary-layer can be determined by non-similarity transformations. The converted boundary-layer equations along with appropriate boundary conditions are then solved numerically. The solution of the modelled differential equations is calculated by utilizing moderate and well-known numerical technique namely BVP4C method. Carreau-Yasuda fluid model is employed to explore the characteristics of shear thinning and thickening fluids. It is generalized form of Carreau-Yasuda fluid which is applicable for having small and infinite shear rates.

中文翻译：

---

零质量通量和对流边界条件对加热平台上 Carreau-Yasuda 流体流动的影响

摘要 通过数学研究，探讨了零法向通量条件对 Carreau-Yasuda 纳米流体在加热表面上流动边界层流动的影响。在这种情况下，平均流量不会给出 Navier-Stocks、温度和浓度方程的解析解，因此对于高雷诺数，边界层的流量可以通过非相似性变换来确定。然后对转换后的边界层方程以及适当的边界条件进行数值求解。建模微分方程的解是通过使用中等和众所周知的数值技术，即 BVP4C 方法计算的。采用Carreau-Yasuda流体模型探讨剪切稀化和稠化流体的特性。