Optimization of heat transfer nanofluid blood flow through a stenosed artery in the presence of Hall effect and hematocrit dependent viscosity

The heat transfer rate of the MHD nanofluid blood flow through a stenosed composite artery with hematocrit-dependent viscosity and Hall effect is optimized by using the response surface methodology (RSM). An experimental design and sensitivity analysis based on RSM are employed to examine the impact of different physical parameters and how changes to these parameters affect the response factors of interest. RSM is utilized in the process of constructing the model dependencies between the output response variables, such as the skin friction coefficient and the local Nusselt number, and the independent input parameters, such as the magnetic field parameter, the Hall parameter, and the Brinkman number. These model dependencies are used to determine the relationship between the output response variables and the independent input parameters. For medical applications, the effects of the aforementioned parameters on the velocity and temperature along the radial axis have been examined and physically interpreted. Shear stress and Nusselt number are analyzed using graphs for several physical factors in addition to stenosis height. The increases in the hematocrit parameter are accompanied with a decrease in velocity profile, as it enhances the fluid viscosity that reduces the fluid motion. The sensitivity of Nux (Nusselt number) and z (shear stress profile) are positive for Br, while negative for M and Be. In addition, current research may be helpful in biomedical by detecting the abnormalities in the artery with the help of the artery image, also known as magnetic resonance angiography (MRA).