• Uday Raj Singh
• Faiz Khan

This study presents a mathematical model to analyze the slip velocity effects in pulsatile blood flow through stenosed arteries, providing insights into hemodynamic behavior under pathological conditions. The model considers a non-Newtonian fluid representing blood, flowing through an artery with a localized stenosis, characterized by parameters such as stenosis severity (δ), shape (β), and asymmetry (γ). By incorporating slip boundary conditions at the arterial wall, the model accounts for partial slip between the blood and the arterial wall, which significantly influences flow characteristics. The governing equations for pulsatile flow, derived from the Navier-Stokes equations, are solved using appropriate boundary conditions to compute velocity profiles, wall shear stress, and resistance to flow. The results highlight that the slip length parameter (λ) alters the velocity distribution, volumetric flow rate and wall shear stress which are critical factors in understanding atherosclerotic plaque formation, progression, and the effects of therapeutic interventions. This modeling framework enhances the comprehension of blood flow dynamics in stenosed arteries, providing a potential tool for predicting clinical outcomes and optimizing treatment strategies in cardiovascular diseases.

"Mathematical Modeling of Slip Velocity Effects in Pulsatile Flow Through Stenosed Arteries", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.10, Issue 2, page no.g19-g30, February-2023, Available :http://www.jetir.org/papers/JETIR2302612.pdf

"Mathematical Modeling of Slip Velocity Effects in Pulsatile Flow Through Stenosed Arteries", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.10, Issue 2, page no. ppg19-g30, February-2023, Available at : http://www.jetir.org/papers/JETIR2302612.pdf