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Electromagnetic control of non-Newtonian fluid (blood) suspended with magnetic nanoparticles in the tapered constricted inclined tube

Electro-magneto-hydrodynamic flow of non-Newtonian fluid (blood) suspended with magnetic particles (erythrocytes) through tapered stenosed inclined artery is explored in this study. The fluid is influenced by a pulsatile constant pressure gradient and an inclined magnetic field. Governing partial differential momentum equations are solved and the fluid and particles axial velocity formula is derived in the analytical form. Further, closed form expressions are obtained for wall shear stress, flow resistance and volumetric flow rate. Graphical analysis of various physiological dynamics against embedded parameters is developed by MATLAB coding. Effects of pertinent parameters are examined and results are discussed. It is noted that both fluid and particle velocity profiles are reduced with increasing values of Hartmann number. In contrast, the electrokinetic number increases the velocities of the fluid and particle. Thus, the fluidic flow can be regulated by applying strong and adequate electromagnetic field which plays a vital role in diagnosing cardio vascular diseases and the respective medical care.