Mathematical Analysis of Two-phase Blood Flow through a Stenosed Artery with a Permeable Wall

This analytical study examines the womersley flow of blood in stenosed arteries, utilizing a two-fluid model.In this model, erythrocytes are considered a non-Newtonian fluid in the core region, while plasma is treated as a Newtonian fluid in the peripheral layer.The core region's non-Newtonian fluid is assumed to follow both Herschel-Bulkley and Casson models.To solve the resulting non-linear partial differential equations, a perturbation technique is applied.The study yields expressions for various flow parameters under the two-fluid Casson model.The analysis conducted in this paper reviews existing research and concludes that the two-fluid Casson model exhibits significantly lower values for parameters such as plug core radius, pressure drop, wall shear stress and flow resistance compared to the two-fluid Herschel-Bulkley model.Therefore, it is suggested that the two-fluid Casson model is a more valuable approach for studying blood flow in stenosed arteries.