Impact of High Levelized of Magnetic Field and Nanoparticles on Jeffery–Hamel Flow in Converging and Diverging Channels Based on <scp>RBF</scp> ‐ <scp>QLM</scp>

ABSTRACT This research is surveying a numerical technique to study effects of CuO nanoparticles in Jeffery–Hamel flow with the high levelized of magnetic field in converging and diverging channels. The innovation of this work is that governing equations in this model is solved using coupling the quasi‐linearization method (QLM) and meshless method, which is based on radial basis functions (RBFs). Also, the RBF method, no need for pre‐defined meshing, reduces the solution of the problem to the solution of a system of algebraic equations by using a set of points within the domain and its boundaries. In addition to, this geometry, the QLM is utilized as a tool for confronting the nonlinearity of the problem and also to reduce the nonlinear boundary problems to a sequence of linear boundary problems which are much simpler to solve. In order to evaluate the convergence analysis of the method, error estimations are made by a residual function denoted. Also, the ability of the present method is shown by comparing it with the numerical method to solve this problem, which is in good agreement. Effects of multivariable parameters are analyzed on magnetic field, nanoparticles volume fraction, and angle of converging and diverging channels. The obtained results show that at angles or Reynolds number of greater in divergent channels, backflow occurs so the high levelized of magnetic field eliminates this phenomenon. Also, the numerical results show that at the angle of channel and which no backflow occurs, the effect of increasing the Hartmann number on the nanofluid velocity from values of to has respectively increased by 35.55 and 66.36%, compare to its initial value.