Analytical Study of Non-Newtonian Blood Flow through Arterial Stenosis under Hepatic Disorder Conditions

Abstract

Blood flow through stenosed arteries has attracted considerable attention in biomedical engineering, physiology, and bio-fluid mechanics because arterial narrowing significantly alters hemodynamic behavior and pressure distribution. Hepatic disorders such as Hepatitis A influence blood viscosity, hematocrit concentration, and vascular resistance, thereby affecting arterial circulation. The present study develops a mathematical model for non-Newtonian blood flow through stenosed hepatic arteries using two-phase fluid assumptions and Herschel–Bulkley rheological behavior. The governing equations of continuity and momentum conservation are formulated in cylindrical coordinates and solved under physiological boundary conditions. Expressions for velocity distribution, wall shear stress, volumetric flow rate, and pressure drop are derived analytically. Clinical hematocrit data are incorporated to examine the variation of pressure drop with blood viscosity. The results indicate that stenosis severity and hematocrit significantly increase pressure resistance and reduce volumetric blood flow. Graphical analysis further reveals that blood pressure drop rises sharply with increasing hematocrit concentration. The study concludes that mathematical modeling of stenosed arterial flow provides important biomedical insight into hepatic circulatory disorders and may assist in clinical diagnosis and therapeutic planning.