Materials and Energy Research CenterInternational Journal of Engineering1025-249535820220801Analytical Solution of Electromagnetic Force on Nanofluid Flow with Brownian Motion Effects Between Parallel Disks1651166115014910.5829/ije.2022.35.08b.21ENE.TayariDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan, IranL.TorkzadehDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan, IranD.Domiri GanjiDepartment of Mechanical Engineering, Babol Noushirvani University of Technology, Babol, Iran0000-0002-2344-526XK.NouriDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan, IranJournal Article20220331The 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 Al<sub>2</sub>O<sub>3</sub> nanofluid at is equal to 0.0018. Also, the effects of the Hartmann number (Ha) on nondimensional horizontal and vertical velocities field for Al<sub>2</sub>O<sub>3</sub> 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.https://www.ije.ir/article_150149_0870ea26f6e60d88576f8f1c9d103949.pdf