In this paper, the effect of porous passage on dusty second-grade fluid with the slip parameter in an asymmetric channel has been studied. The situation is demonstrated mathematically using nonlinear coupled equations. An analytical solution of the problem is gained by applying a regular perturbation method. The stream functions for both fluid and solid particles and the pressure gradient are calculated and illustrated graphically. It is observed that the bolus expands in the upper half of the channel for both fluid and dust particles as k increases, and increasing k has opposite effect in the lower part of the passage.

中文翻译：

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在不对称通道中穿过多孔介质的二阶粉尘流体的蠕动流动

本文研究了非对称通道中多孔通道对带滑移参数的粉尘二级流体的影响。使用非线性耦合方程以数学方式证明了这种情况。通过应用常规的扰动方法可以获得该问题的解析解。计算并以图形方式显示了流体和固体颗粒的流函数以及压力梯度。可以观察到，随着k的增加，液体和灰尘颗粒的弹丸都在通道的上半部扩展，而k的增加在通道的下部具有相反的作用。