Modeling and study of the arterial blood flow loaded with nanoparticles under squeezing action in presence of a magnetic field

Innovative Research and Applied Physics Team (RIPA), Faculty of Sciences, Moulay Ismail University, Meknes, Morocco.

^* Correspondingauthor:hachem.elkaber@gmail.com

Abstract

This article is intended to study the arterial blood flow with nanoparticles in a magnetic field due to the squeezing action of the heart, the study was treated as acasson nanofluid flowing between two parallel plates placed at a distance varying in time and under the influence of a uniform magnetic field with variable chemical reaction. Considering the following effects: viscous dissipation, generation of heat due to friction caused by shear in the flow, joule heating, brownian motion, and the influence of thermo-diffusion. Homotopy Perturbation Method is used to solve the nonlinear differential equations governing the problem. To verify the accuracy of the analytical method used, the results of the homotopy perturbation method (HPM) are compared with the results of the Numerical method using the fourth-order Runge–Kutta method (RK-4) and other results obtained in previous works so that the high accuracy of results is clear. Flow behaviour under the modifying involved physical parameters is also discussed and explained in detail in the form of graphs and tables. Through this study it is observed that magnetic field can be used as a control phenomenon in many flows as it normalizes the flow behaviour. Also, it is shown that positive and negative squeeze numbers have opposite effects on heat and mass transfer flow throughout all the cases. Further, the concentration field is a decreasing function of thermophoresis parameter. While, concentration profile enhances with raising brownian motion parameter. And various other important parameters were analyzed. Findings from this study can help engineers to improve and researchers to investigate faster and easier.