Peristaltic flow of sutterby nanofluid in a stenosed artery with ciliated endothelium and wall roughness under hall and ion slip effects

In this dissertation, we examine the nonlinear peristaltic locomotion of a Sutterby nanofluid in the presence of a magnetic field from the exterior through a stenosed capillary with a ciliated endothelium lining and rough sidewalls. This study's impetus stems from the need for more accurate hemodynamic models that can explain how magnetohydrodynamic forces and geometric irregularities alter blood flow in narrow arterial segments. Nonlinear radiant heat, viscous dissipation, and heating by Joules, Brownian diffusion, thermophoretic transport, activation energy effects, and spreading microbes are all incorporated into a comprehensive mathematical framework. Arterial roughness is modeled using a function that varies with both axial position and time, enabling representation of dynamic wall deformations. The Homotopy Perturbation Procedure is used to estimate analytical solutions for the generated equations, and qualitative compliance with experiments is provided for validation. The findings demonstrate that when the roughness amplitude rises, the critical pumping velocity falls. Furthermore, longer cilia increase hydraulic resistance and decrease axial velocity, whereas more eccentric cilia result in larger forward transport and faster flow. The originality of this integrated strategy is the simultaneous presence of time-dependent roughness and ciliated-wall mechanics for the MHD-driven artery structure. It promotes optimised performance of healthcare diagnosis and therapy, as well as constitutes a useful and accurate predictor for the evaluation of haemodynamics in stenosed arteries.