Abstract In the article, the effects of the thermal viscosity and magnetohydrodynamic on the peristalsis of nanofluid are analyzed. The dominant neutralization is deduced through long wavelength approximation. The analytical solution of velocity and temperature is extracted by using steady perturbation. The pressure gradient and friction forces are obtained. Numerical results are calculated and contrasted with the debated theoretical results. These results are calculated for various values of Hartmann number, variable viscosity parameter and amplitude ratio. It is observed that the pressure gradient is reduced with an increase in the thermal viscosity parameter and that the Hartmann number enhances the pressure difference.

中文翻译：

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热粘性纳米流体通过弹性垂直管的蠕动推力

摘要 本文分析了热粘度和磁流体力学对纳米流体蠕动的影响。主要的中和作用是通过长波长近似推导出来的。速度和温度的解析解是通过定常扰动提取的。获得压力梯度和摩擦力。计算数值结果并与有争议的理论结果进行对比。这些结果是针对哈特曼数、可变粘度参数和振幅比的各种值计算得出的。观察到压力梯度随着热粘度参数的增加而减小，并且哈特曼数增强了压力差。