A Caputo Time-Fractional Derivative Approach to Pulsatile Non-Newtonian Sutterby Blood Fluid Flow through a Vertical Stenotic Artery under MHD Influence

Blood flow through arteries is essential for maintaining metabolism of the body. Tissue injury and metabolic issues can develop from a deficiency of blood supply. A stenotic artery can be a major cause of this deficiency of blood supply. It is interesting to note that new studies have shown that magnetic fields can benefit different body parts, including the cardiovascular system. In this study, blood is considered Sutterby fluid with time fractional derivative, to examine effect of a magnetic field as well as fractional parameter on blood flow past a stenotic artery. In addition, the thermal behavior of the flow due to electromagnetic interactions and radiative heat flux is considered. We obtained numerical solutions of coupled nonlinear momentum and energy equations by using finite difference method. A thorough graphical analysis of how various parameters affect flow dynamics is provided. Future research in this area and the choice of machine learning as an efficient technique to predict micropolar flow will be supported by the current study.