In this paper, we investigate non-Newtonian Casson fluid flow with pulsation in a channel having symmetrical constriction bumps on the upper and lower walls. The medium is assumed to be porous, following Darcy’s law. The fluid is modeled as electrically low conducting, and the pulsatile flow is subjected to a transverse magnetic field of uniform strength to study the impact of the resulting Lorentz force. We transform the mathematical model using the vorticity-stream function form for obtaining the solution. We analyze influence of the Hartman, Strouhal, Casson fluid, and porosity parameters on various flow profiles. It is revealed that the region of flow separation in the wake of a constriction bump tends to vanish with increasing the magnetic field parameter as well as Casson fluid parameter. The wall shear stress has higher values at the first constriction bump than that at the second constriction bump on a wall. It is also noticed that wall shear stress decreases with increasing the value of the porosity parameter during the pulsation cycle.

在本文中，我们研究了在上下壁上具有对称收缩凸起的通道中具有脉动的非牛顿卡森流体流动。遵循达西定律，假定该介质是多孔的。流体被建模为低电导率，脉动流受到强度均匀的横向磁场的影响，以研究由此产生的洛伦兹力的影响。我们使用涡流函数形式转换数学模型以获得解。我们分析了Hartman，Strouhal，Casson流体和孔隙率参数对各种流动剖面的影响。揭示出，随着磁场参数以及卡森流体参数的增加，在收缩隆起之后的流动分离区域趋于消失。壁上的第一收缩凸点处的壁面剪应力值比第二收缩凸点处的壁面剪应力值高。还应注意的是，在脉动周期中，壁切应力随着孔隙率参数值的增加而减小。