Modelling of Blood Flow Through Stenosed Tube with Permeable Walls in the Presence of Magnetic Field and Nanoparticles, Considering Blood as Elastic Viscous Fluid

Abstract

This research focuses on the mathematical analysis of nanoparticles in blood flow via constrained vessels with permeable walls under the effect of an external magnetic field. The effects of the magnetic field on the effects of nanoparticles are investigated in this paper. Unfavourable results could arise from the beginning of nanoparticles in blood. The governing equations of the hypothetical fluid are resolved by the Laplace and Finite Hankel transforms. The formulas for the temperature, flow rate, and velocity distributions in the confined region of tubes are determined analytically. The results are shown graphically for various parametric values using MATLAB. It is found that magnetic fields improve blood flow in confined tubes and, in addition, that the velocity of fluid is reduced for nanoparticles with higher volume fractions. For medical professionals, this study would be useful to understand the circumstances of nanoparticle delivery in blood flow.