Influences of Rotation and Slip Condition on MHD Peristaltic Flow of Blood Ree-Eyring Nanofluid Through a Porous Medium in a Tapered Channel with Heat and Mass Transfer

The body’s blood arteries are made of hollow tubes that carry blood throughout. They transport hormones, nutrients, and oxygen to the various bodily areas. The circulatory system is made up of three different types of blood vessels: capillaries, veins, and arteries. The body’s arteries transport oxygenated blood from the heart to various organs. The arteries split into smaller branches known as arterioles, which then split into even smaller branches known as capillaries. Conversely, veins are blood channels that return deoxygenated blood to the heart from various regions of the body. The research describes an analytical study that delves into the effects of rotation on the magnetohydrodynamic peristaltic flow of a non-Newtonian Ree-Eyring nanofluid (modelling blood) through a porous medium in a tapered channel. This investigation also considers factors such as thermal radiation, heat generation, absorption, and slip conditions. The primary focus of the study is to analyze how these various factors interact and influence the flow characteristics of the fluid in the specified conditions. The system of governing partial differential equations was transformed into a system of ordinary differential equations using the long wave approximation while ignoring the magnetic Reynolds number. These equations were then solved analytically and completely, yielding the distributions of axial velocity, temperature, nanoparticle volume fraction, pressure gradient, pressure rise, and heat and mass transfer coefficients. Using the MTHE-MATICA software, a graphical analysis was carried out to display the impact of all the physical parameters that were discovered throughout the investigation on the primary distributions, along with a description of their physical significance and potential medical uses. The results indicate that as the Darcy number and rotation values increase in conjunction with the velocity, a corresponding increase in velocity is observed at the channel walls due to the slip condition. This leads to a boost in axial velocity within certain regions of the channel with higher confinement. On the contrary, it has been demonstrated that heat generation and absorption coefficients have a detrimental effect on the distribution of nanoparticle volume fractions, while they positively impact the temperature distribution within the system.