Abstract Simultaneous effects of non-Newtonian and curvature on unsteady nano-fluid flow through overlapping stenosed channel have been investigated in this letter. In this numerical investigation, a mathematical formulation is developed in order to analyze the influence of blood shear thinning/thickening effects on the rheology of the nano-fluid within curved channel which is not explored yet. Moreover, the numerical solutions for temperature, velocity and concentration equations are obtained and discussed its hemodynamic effects due to the curvature of the stenosed channel. Graphical results are designed in such way to comprehend its complete theoretical assessment. The graphical streamlines would give pictorial overview of the nano-fluid flow through stenosed cress section under the influence of the emerging parameters variation. The pattern of the results instigates the change in the size of trapping bolus for different value of the specified parameters; these will give the pictorial understanding to the general readers. Apart from this, the obtained numerical results are also validated.

中文翻译：

---

w 形狭窄通道中非牛顿纳米流体（血液）流动的时间相关性；有曲率效果

摘要 本文研究了非牛顿和曲率对通过重叠狭窄通道的非定常纳米流体流动的同时影响。在该数值研究中，开发了一种数学公式，以分析血液剪切变稀/变稠效应对弯曲通道内纳米流体流变学的影响，但尚未探索。此外，获得了温度、速度和浓度方程的数值解，并讨论了由于狭窄通道的曲率导致的血液动力学影响。图形结果的设计方式是为了理解其完整的理论评估。在新出现的参数变化的影响下，图形流线将给出通过狭窄水芹截面的纳米流体流动的图形概览。结果的模式促使不同指定参数值的诱捕丸大小的变化；这些将为一般读者提供图形理解。除此之外，还验证了所获得的数值结果。