Abstract
Abstract The present paper examines both numerical and analytical approaches to the fluid flow of blood containing nanoparticles in a porous media affected by the magnetic field. Considering the blood as a third-grade non-Newtonian fluid and by assuming the constant viscosity for the nanofluid, a new method called Akbari-Ganji's Method (AGM) along with differential transformation method (DTM) has been conducted for this problem. An excellent agreement between these methods and the 4th order Runge-Kutta method was observed in the results. These results indicated that AGM can achieve suitable answers in dealing with such problems. Furthermore, the effect of the following physical parameters on the velocity, temperature, and nanoparticles concentration distributions has been investigated in this paper; Brownian motion parameter, thermophoresis parameter, pressure gradient. as for instance, increasing the negative pressure gradient along with the thermophoresis parameter would cause an increase in velocity profile while the magnetic nature of the blood cells is investigated by increasing the magnetic field parameter, that led to a decrease in the blood velocity as expected.
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