Mohamed R A, Abo-Dahab S M, Abd-Alla A M, Soliman M S
Mathematics Department, Faculty of Science, South Valley University, Qena, Egypt.
Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt.
Sci Rep. 2023 Aug 11;13(1):13096. doi: 10.1038/s41598-023-39756-5.
This article focuses on determining how to double diffusion affects the non-Newtonian fourth-grade nanofluids peristaltic motion within a symmetrical vertical elastic channel supported by a suitable porous medium as well as, concentrating on the impact of a few significant actual peculiarities on the development of the peristaltic liquid, such as rotation, initial pressure, non-linear thermal radiation, heat generation/absorption in the presence of viscous dissipation and joule heating with noting that the fluid inside the channel is subject to an externally induced magnetic field, giving it electromagnetic properties. Moreover, the constraints of the long-wavelength approximation and neglecting the wave number along with the low Reynolds number have been used to transform the nonlinear partial differential equations in two dimensions into a system of nonlinear ordinary differential equations in one dimension, which serve as the basic governing equations for fluid motion. The suitable numerical method for solving the new system of ordinary differential equations is the Runge-Kutta fourth-order numerical method with the shooting technique using the code MATLAB program. Using this code, a 2D and 3D graphical analysis was done to show how each physical parameter affected the distributions of axial velocity, temperature, nanoparticle volume fraction, solutal concentration, pressure gradients, induced magnetic field, magnetic forces, and finally the trapping phenomenon. Under the influence of rotation [Formula: see text], heat Grashof number [Formula: see text], solutal Grashof number [Formula: see text], and initial stress [Formula: see text], the axial velocity distribution [Formula: see text] changes from increasing to decreasing, according to some of the study's findings. On the other hand, increasing values of nonlinear thermal radiation [Formula: see text] and temperature ratio [Formula: see text] have a negative impact on the temperature distribution [Formula: see text] but a positive impact on the distributions of nanoparticle volume fraction [Formula: see text] and solutal concentration [Formula: see text]. Darcy number [Formula: see text] and mean fluid rate [Formula: see text] also had a positive effect on the distribution of pressure gradients, making it an increasing function.
本文着重于确定双重扩散如何影响在由合适多孔介质支撑的对称垂直弹性通道内的非牛顿四阶纳米流体蠕动运动，同时关注一些重要实际特性对蠕动液体发展的影响，比如旋转、初始压力、非线性热辐射、存在粘性耗散和焦耳热时的热生成/吸收，需注意通道内的流体受到外部感应磁场作用，使其具有电磁特性。此外，利用长波长近似的约束条件以及忽略波数和低雷诺数，将二维非线性偏微分方程转化为一维非线性常微分方程组，这些方程作为流体运动的基本控制方程。求解新常微分方程组的合适数值方法是采用射击技术的龙格 - 库塔四阶数值方法，并使用MATLAB程序代码。利用此代码进行了二维和三维图形分析，以展示每个物理参数如何影响轴向速度、温度、纳米颗粒体积分数、溶质浓度、压力梯度、感应磁场、磁力以及最终的俘获现象分布。根据该研究的一些结果，在旋转[公式：见原文]、热格拉晓夫数[公式：见原文]、溶质格拉晓夫数[公式：见原文]和初始应力[公式：见原文]的影响下，轴向速度分布[公式：见原文]从增加变为减少。另一方面，非线性热辐射[公式：见原文]和温度比[公式：见原文]值的增加对温度分布[公式：见原文]有负面影响，但对纳米颗粒体积分数[公式：见原文]和溶质浓度[公式：见原文]的分布有正面影响。达西数[公式：见原文]和平均流体速率[公式：见原文]对压力梯度分布也有积极影响，使其成为一个递增函数。
