Computational study of MHD blood flow through bifurcated artery using Caputo-Fabrizio fractional derivative thermal radiation and magnetic fields for tumor therapies

Abstract

This study investigates the impact of heat sources, thermal radiation, and chemical reactions on the magnetohydrodynamic blood flow through a bifurcated artery in the presence of a slanted magnetic field. Using the Laplace transform and the method of undetermined coefficients, the constitutive equations for the mathematical model of the Caputo-Fabrizio fractional derivative order were solved. Blood flow velocity, temperature distribution, and concentration were found to have analytical expressions. The effects of certain physical parameters on blood velocity, temperature, and concentration are graphically represented, and these representations accurately depict the flow disturbances. We discovered that the bifurcation apex of the artery with a symmetrical divider has steady blood flow. This may lead to significant shear stresses on either side of the bifurcation. Near the apex, when the flow is substantially different, obstruction may result from the formation of boundary layers on the inner walls of the bifurcation. Sluggish flow also occurred along the outer walls of the bifurcation. It has also been discovered that the temperature distribution, concentration, and arterial blood flow velocity are significantly influenced by the fractional order parameter, the slanted magnetic fields, the heat source, and the chemical reaction parameter. This study offers significant benefits for medical applications in biomechanical engineering, biomedical engineering, and medicine.