The electro-osmotically modulated hemodynamic across an artery with multiple stenosis is mathematically evaluated. The non-Newtonian behaviour of blood flow is tackled by utilizing Casson fluid model for this flow problem. The blood flow is confined in such arteries due to the presence of stenosis and this theoretical analysis provides the electro-osmotic effects for blood flow through such arteries. The mathematical equations that govern this flow problem are converted into their dimensionless form by using appropriate transformations and then exact mathematical computations are performed by utilizing Mathematica software. The range of the considered parameters is given as $0.03<{\delta }_l<0.12,2<m<3.5,0.03<Q<2,0<U_{\mathrm{HS}}<3,2<B_r<2.9,0.01<S<0.025$. The graphical results involve combine study of symmetric and non-symmetric structure for multiple stenosis. Joule heating effects are also incorporated in energy equation together with viscous effects. Streamlines are plotted for electro-kinetic parameter $m$ and flow rate $Q$. The trapping declines in size with incrementing $m$, for symmetric shape of stenosis. But the size of trapping increases for the non-symmetric case.

对多处狭窄动脉的电渗调节血流动力学进行数学评估。通过利用 Casson 流体模型来解决血流的非牛顿行为。由于狭窄的存在，血流被限制在此类动脉中，并且该理论分析提供了流经此类动脉的血流的电渗效应。通过使用适当的变换，将控制该流动问题的数学方程转换为无量纲形式，然后利用 Mathematica 软件执行精确的数学计算。所考虑参数的范围如下$0。03<{\delta }_{我}<0。12,2<米<3。5,0。03<问<2,0<U_{\mathrm{HS}}<3,2<{乙}_r<2。9,0。01<S<0。025$。图形结果涉及多处狭窄的对称和非对称结构的联合研究。焦耳热效应也与粘性效应一起纳入能量方程。绘制电动参数流线$米$和流量$问$。捕获的大小随着增加而减小$米$，对于狭窄的对称形状。但对于非对称情况，捕获的大小会增加。