The present work analyzes the non-Newtonian nature of blood flow through a stenosed artery by utilizing the Rabinowitsch fluid model. We explored the pseudoplastic nature of Rabinowitsch fluid as the blood has the shear-thinning characteristic. The artery is affected by various shapes (bell shape, W shape, elliptical shape) and multiple stenoses. It has permeable wall and slip effects on the boundary. The governing equations of the flow are processed in dimensionless form along with the assumptions of mild stenosis and solved analytically. A detailed graphical analysis of the analytically attained solution is provided. It is found that the flow velocity gets higher values in the narrowed region, and it overgrows in the stenotic region. Its behavior depicted near the axis of the channel reverses in the vicinity of the arterial wall for slip parameter and Darcy number. The local sensitivity analysis is utilized to assess the influence of significant physical parameters on the flow velocity. The slip parameter has a more substantial impact, and stenosis height has a more negligible effect on the flow velocity. The Darcy number is more effective than stenosis height and less influential than the slip parameter. The streamlines split into the contours in the stenotic region close to the boundary. The size of contours diminishes for a quick flow and increases for growing stenosis height and higher Darcy number. These contours have various shapes depending upon the shape of stenosis.

目前的工作利用 Rabinowitsch 流体模型分析了通过狭窄动脉的血流的非牛顿性质。我们探讨了 Rabinowitsch 流体的假塑性性质，因为血液具有剪切稀化特性。动脉受各种形状（钟形、W形、椭圆形）和多个狭窄的影响。它对边界具有透水墙和滑移作用。流动的控制方程与轻度狭窄的假设一起以无量纲形式处理并解析求解。提供了分析获得的解决方案的详细图形分析。发现在狭窄区域流速值较高，在狭窄区域流速过度生长。对于滑移参数和达西数，它在通道轴附近描绘的行为在动脉壁附近反转。局部敏感性分析用于评估重要物理参数对流速的影响。滑移参数的影响更大，狭窄高度对流速的影响更小。达西数比狭窄高度更有效，比滑移参数影响更小。流线在靠近边界的狭窄区域分裂成轮廓。等高线的大小随着快速流动而减小，随着狭窄高度的增加和达西数的增加而增加。这些轮廓根据狭窄的形状具有各种形状。局部敏感性分析用于评估重要物理参数对流速的影响。滑移参数的影响更大，狭窄高度对流速的影响更小。达西数比狭窄高度更有效，比滑移参数影响更小。流线在靠近边界的狭窄区域分裂成轮廓。等高线的大小随着快速流动而减小，随着狭窄高度的增加和达西数的增加而增加。这些轮廓根据狭窄的形状具有各种形状。局部敏感性分析用于评估重要物理参数对流速的影响。滑移参数的影响更大，狭窄高度对流速的影响更小。达西数比狭窄高度更有效，比滑移参数影响更小。流线在靠近边界的狭窄区域分裂成轮廓。等高线的大小随着快速流动而减小，随着狭窄高度的增加和达西数的增加而增加。这些轮廓根据狭窄的形状具有各种形状。达西数比狭窄高度更有效，比滑移参数影响更小。流线在靠近边界的狭窄区域分裂成轮廓。等高线的大小随着快速流动而减小，随着狭窄高度的增加和达西数的增加而增加。这些轮廓根据狭窄的形状具有各种形状。达西数比狭窄高度更有效，比滑移参数影响更小。流线在靠近边界的狭窄区域分裂成轮廓。等高线的大小随着快速流动而减小，随着狭窄高度的增加和达西数的增加而增加。这些轮廓根据狭窄的形状具有各种形状。