Analytical Solution of Electromagnetic Force on Nanofluid Flow with Brownian Motion Effects Between Parallel Disks

The innovation of the present paper is the analytical study of Brownian motion effects on nanofluid flow and electromagnetic force between parallel disks with a heat source. Nanoparticle effects on nondimensional temperature field and velocity of fluid flow were analyzed using Akbari-Ganji’s Method and radial basis function approximation based on Hardy multiquadric function. Akbari-Ganji’s Method (AGM) is a strong analytical method that solves any linear and nonlinear differential equation with any degree of variables. Radial basis functions is an approximation method for analyzing functions and equations at high degrees, especially when it is necessary to apply the interpolation problem for scattered data on irregular geometry. The results signified that the maximum difference between AGM and RBF methods, for nondimensional horizontal velocity on CuO nanofluid at  and is 0.2251 and the minimum difference for the nondimensional vertical velocity of Al2O3 nanofluid at   is equal to 0.0018. Also, the effects of the Hartmann number (Ha) on nondimensional horizontal and vertical velocities field for Al2O3 nanoparticles at  have a slight difference from the other Hartmann values using the AGM method. The maximum of nondimensional horizontal velocities at  and  is equal to 1.9354.