Impact of Stenosis on the Hemodynamic Behavior of Jeffrey Fluid Within a Narrow Channel

This study examines the impact of a hemodynamic arterial stenosis on the flow properties of blood, modeled as a two-layer Jeffrey fluid in a narrow channel. The proposed model treats the central core as a Jeffrey fluid and the periphery as Newtonian. Under the assumption of mild stenosis and consistent, incompressible flow, analytical solutions for velocity profiles, core hematocrit, mean hematocrit, and effective viscosity are obtained. This study diverges from previous research that primarily concentrated on Newtonian or single-layer models by integrating a two-layer stratification and explicitly analysing the synergistic effects of stenosis and microcirculation within a non-Newtonian (Jeffrey) fluid framework. The governing equations are resolved with suitable boundary conditions, and the outcomes are examined concerning critical parameters including the Jeffrey parameter, channel width, and stenosis height. While it rises with more channel width and increased stenosis severity, the effective viscosity decreases as the Jeffrey parameter rises. As the Jeffrey parameter and stenosis height rise, core and mean hematocrit levels fall. These results offer fresh perspectives on the hemodynamics of blood flow in stenotic microcirculatory vessels consistent with the Fahraeus-Lindqvist effect. The results could improve understanding of flow dynamics in both physiological and pathological conditions linked with arterial constrictions.