Theoretical Study of MHD Blood Flow in Bifurcated Arteries with Application of Heat Source and Porous Medium in View of Carotid Body Tumors

In the present scenario carotid body tumors (CBT) are commonly treated by surgery, even heat transfer (other than normal high or low), blood flow rates, and medium of flow are highly recommended to manage in case of non-invasive treatments. The fluid (MHD blood), which is Newtonian, flows through bifurcated arteries with carotid body tumors through the medium of permeable in nature along with an external heat source. Blood contains fatty accumulation in blood cells, which is assumed to be caused by the porous medium. The rheology of biofluid (blood) flowing through a porous medium is developed mathematically. The magnetic field applied is normal to the flow. The partial differential equations governing the flow are solved using transformations. The boundary conditions are suggested for solving the model. Velocity profiles, resistance on walls, temperature distribution, and heat transfer flow rates are examined for different parameters. The axial velocity and shear stresses on walls are investigated for porosity parameters. The behavior of Prandtl number (Pr), heat source parameter (S), and magnetic field parameter (M) on velocity profiles in the presence of porosity parameter and temperature field is also noted. A numerical range of parameters is considered for analysis. The results are shown through graphs.