An investigation on the dispersion of a solute in the flow of blood through a constricted artery with an absorptive wall having relevance to arterial pharmacokinetics is carried out in which the rheology of blood is characterized by the Casson model. The solute is considered to be administered at the inlet of the finite arterial lumen. The governing equations of motion for the flow and the convection–diffusion equation for the concentration with physiologically realistic boundary, initial and absorptive wall conditions are solved numerically by immersed boundary method (IBM) and the Marker and Cell (MAC) method in staggered grids formulation, popularly known as (IBM–MAC). The effects of the wall absorption parameter \((\beta )\), yield stress \((\tau _\mathrm{y})\), Reynolds number (Re) and the severity of the stenosis (\(\delta \)) on the solute dispersion are analyzed and presented graphically which show good agreement with the existing results in the literature. The present study also reveals that the absorption parameter \(\beta \) and the concentrations in both the lumen and the tissue are inversely related. This study can be useful in drug delivery to the affected artery where an abnormal plaque was formed.

研究了溶质在通过具有与动脉药代动力学相关的吸收壁的狭窄动脉的血流中的分散情况，其中以卡森模型为特征。溶质被认为是在有限动脉腔的入口处施用的。用沉浸边界法（IBM）和标记和单元格（MAC）方法以交错网格的形式用数值方法求解流动的控制方程和生理边界，初始壁和吸收壁条件下浓度的对流扩散方程。 ，俗称（IBM–MAC）。壁吸收参数\（（\ beta）\），屈服应力\（（\ tau _ \ mathrm {y}）\）的影响，对溶质分散液的雷诺数（Re）和狭窄严重程度（\（\ delta \））进行了分析和图形显示，与文献中已有的结果吻合良好。本研究还揭示了吸收参数\（\ beta \）与管腔和组织中的浓度成反比。这项研究可用于将药物输送到形成异常斑块的患处。