A mathematical model is realistic to assess a comparative study of nanofluid and hybrid nanofluid flow between two eccentric pipes. Study of nanofluid has been developed recurrently over the earlier era. By taking the nanofluid study in higher level, the researchers tried to use hybrid nanofluid, which was modeled by placing different nanoparticles either in composite or mixture form. The method of using hybrid nanofluid is to get more thermal conductivity of base fluid. For this phenomena, we consider Ni and \(\gamma Al_2O_3\) as nanoparticles and \(C_2H_6O_2\) as a base fluid. The inner pipe is rigged and rotating with velocity (V), whereas the external pipe is sinusoidal (wave moving down to its boundaries) like the contracting and relaxation phenomena. Low Reynolds number and long wavelength approximation are used for analytic solution. The resulting nonlinear PDEs are converted into ODEs by using perturbation technique. After this, we compare graphically the behavior of friction forces on inner and outer pipes, pressure gradient, pressure rise, velocity and temperature profiles for multi-values of solid volume fractions.

数学模型对于评估两个偏心管之间的纳米流体和混合纳米流体流动的比较研究是现实的。纳米流体的研究已经在较早的时代反复进行。通过对纳米流体的更高层次的研究，研究人员尝试使用混合纳米流体，该流体是通过将不同的纳米颗粒以复合或混合物形式放置而建模的。使用混合纳米流体的方法是获得更大的基础流体的导热性。对于这种现象，我们将Ni和\（\ γAl_2O_3 \）视为纳米粒子，并将\（C_2H_6O_2 \）作为基础液。内管被装配并以速度（V）旋转，而外管像收缩和松弛现象一样是正弦曲线（波向下移动到其边界）。低雷诺数和长波长近似用于分析解决方案。通过使用摄动技术将所得的非线性PDE转换为ODE。此后，我们以图形方式比较了内管和外管上的摩擦力的行为，压力梯度，压力上升，速度和温度曲线，以获取固体体积分数的多个值。