Mathematical computations for the physiological flow of Casson fluid in a vertical elliptic duct with ciliated heated wavy walls
Mathematical computations for the physiological flow of Casson fluid in a vertical elliptic duct with ciliated heated wavy walls
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DOI：
10.1080/17455030.2022.2072973
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发表时间：
2022-05-17
影响因子：
--
通讯作者：
El-Shafay, A. S.
中科院分区：
文献类型：
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作者：
Fuzhang, Wang;Akhtar, Salman;El-Shafay, A. S.
本文用数学方法研究了非牛顿流体在椭圆形截面、壁面有纤毛的垂直管道中的蠕动流动。卡森流体的非牛顿模型被用于加热纤毛壁的椭圆形管道。纤毛驱动的异时波结合正弦波形壁运动的物理方面突出。通过适当的变换对控制方程进行量纲化，得到了一组无量纲的偏微分方程及其相应的边界条件。给出了求解该对流换热问题精确解的完整数学方法。通过图形结果进一步分析最终的解决方案。伽马值的增加将机制从非牛顿流改变为牛顿流。此外，如果伽马增加到无穷大，那么它就变成了一个完全的牛顿流体流动问题。此外，速度随着γ值的增加而增加。
This mathematical investigation discloses the peristaltic flow of non-Newtonian fluid in a vertical duct with an elliptic cross-section and ciliated walls. The Casson fluid's non-Newtonian model is utilized for an elliptic duct with heated ciliated walls. The physical aspects of cilia-driven metachronal wave combined with sinusoidal wavy wall movement are highlighted. A set of dimensionless partial differential equations with relevant boundary conditions is obtained after simplifying the dimensional form of governing equations using appropriate transformations. A complete mathematical method is conveyed to get exact solutions for this convection heat transfer problem. The final solutions are further analyzed through graphical results. The increase in the value of gamma changes the mechanism from non-Newtonian to a Newtonian flow. Moreover, if gamma is increased to infinity, then it becomes a complete Newtonian fluid flow problem. Moreover, the velocity increases with an increasing value of gamma.