Abstract

In this study, the homotopy perturbation method was employed to study the influence of the thermal and applied magnetic fields on the movement and efficiency of differently shaped nanoparticles. Extensive Hartmann number, nanoparticle shape factor, and nanofluid volume fraction values were used to investigate the influence of differently shaped nanoparticles in a flow-through diseased artery. To analyze the flow and heat conduction behavior of nanoparticles in an artery, the wall impedance and local Nusselt number values were evaluated using the homotopy perturbation method and the results were compared with existing results for the same case. The results of both approaches were compared graphically for the volume fraction and magnetic interaction parameters. In addition, a graph was plotted to compare the behavior of nanoparticles in both the Hamilton-Crosser and modified Hamilton-Crosser models.

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