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Study of nanoparticle as a drug carrier through stenosed arteries using Bernstein polynomials

Abstract In this study, Bernstein polynomial approximation method is used to obtain the expressions of velocity, temperature, wall shear stress and stream function, to portray the transport characteristics of Newtonian gold-blood nanofluid flowing through stenosed artery in the presence of magnetic field. The impact of various flow parameters on velocity profile, wall shear stress and stream function is also investigated. The effect of nanoparticle volume fraction in the presence and absence of external magnetic field is studied. The results reveal that the temperature of the nanofluid and wall shearing stress are increased, whereas the velocity is decreased due to increase in the particle concentration in the presence of magnetic field.