Abstract A methodological approach has been adopted in order to investigate the magnetohydrodynamic (MHD) flow of (Cu-SiO2)/water hybrid nanofluid keeping in view the peristaltic motion. An endeavor is made to obtain accurate results of velocity slip and convective boundary conditions while studying four different types of geometric shapes (sphere, bricks, cylinder and platelets). The formulated equations are theoretically examined. In the manuscript, flow phenomenon of relaxation and contraction in a geometry of finite length of a non-uniform tube with regards to Cu/water and (Cu-SiO2)/water hybrid nanoparticles are deliberated. Equations related to realistic boundary conditions i.e. dimensionless control equations, are also studied in the manuscript. In order to validate theoretical findings of the work, graphical discussion on supplementary nanoparticles form a part of this manuscript. Effects of these nanoparticles on velocity, temperature distribution and transfer of heat is also discussed in the same manuscript. The analysis shows that conductivity of the nanoparticles is directly proportional to the volume of the nanoparticles. The results also show that there is significantly increase in temperature and velocity due to increase of heat absorption which also results in increases in elevation for hybrid nanofluid. The above discussion implies that convective heat transfer parameter has higher impact in case of (Cu- SiO2)/water hybrid nanofluid as compare to Cu-water/nanofluid. Streamlines pattern of Peristaltic transport is also discussed in the paper. This manuscript also draws the comparison between the results of Cu-water and (Cu- SiO2)/water hybrid.

中文翻译：

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铜/水纳米流体和（SiO2-铜）/水杂化纳米流体对流换热的理论研究，具有 MHD 和纳米颗粒形状效应，包括弛豫和收缩现象

摘要 为了研究（Cu-SiO2）/水混合纳米流体的磁流体动力学（MHD）流动，同时考虑了蠕动运动，采用了一种方法论方法。在研究四种不同类型的几何形状（球体、砖块、圆柱体和小片）时，努力获得速度滑移和对流边界条件的准确结果。从理论上检查公式化的方程。在手稿中，讨论了关于 Cu/水和 (Cu-SiO2)/水混合纳米粒子的非均匀管的有限长度几何中的松弛和收缩流动现象。手稿中还研究了与现实边界条件相关的方程，即无量纲控制方程。为了验证工作的理论发现，关于补充纳米粒子的图形讨论构成了本手稿的一部分。这些纳米粒子对速度、温度分布和热传递的影响也在同一份手稿中进行了讨论。分析表明纳米颗粒的电导率与纳米颗粒的体积成正比。结果还表明，由于吸热的增加​​，温度和速度显着增加，这也导致混合纳米流体的高度增加。上述讨论表明，与 Cu-水/纳米流体相比，对流热传递参数在 (Cu-SiO2)/水混合纳米流体的情况下具有更高的影响。论文中还讨论了蠕动传输的流线型模式。