Magnetically controlled oscillatory flow of micropolar-Jeffrey fluid in a diseased artery: A sensitivity analysis-based model for non-invasive thrombosis treatment.

The study addresses the complex hemodynamics of diseased arteries by incorporating micropolar and Jeffrey fluid characteristics under magnetic influence, which is significant for improving non-invasive diagnostic and therapeutic strategies. The primary aim is to analyze the effect of vortex viscosity, spin gradient viscosity, micro-inertia, fluid elasticity and magnetic fields on oscillatory blood flow, microrotation and heat transfer in a stenosed arterial segment. The governing equations for velocity, microrotation and temperature are non-dimensionalized and solved using the Crank-Nicolson finite difference method, with additional sensitivity and uncertainty analyses performed via orthogonal array techniques and Monte Carlo simulations. Results reveal that magnetic fields reduce flow velocity and microrotation due to Lorentz force damping, while fluid elasticity enhances them and that heat transfer is most sensitive to the Eckert and Peclet numbers, with vortex and spin gradient viscosities having the strongest impact on couple stress. These findings provide a robust computational framework for predicting flow and thermal behaviors in magnetically assisted treatments, supporting targeted clinical applications such as magnetic therapy, vascular hyperthermia and localized drug delivery.