In this article, we investigate the heat transfer on nanoparticles Jeffrey Hamel flow problem between two rigid plane walls. Water is used as a main fluid using four different types of nanoparticles, namely aluminum, cuprous, titanium, and silver. The results of nonlinear transformational equations with boundary conditions are solved analytically and numerically. The perturbation iteration scheme (PIS) is used for the analytic solution, while for determining the numerical results, the Rang-Kutta of the four-order scheme (RK4S) is used. The effects on the behavior of non-dimensional velocity and temperature distributions are presented in the form of tables and graphs for different values of emerging physical parameters (Reynolds number, Prandtl number, Eckert number and open angles).The solid component of nanoparticles has an influence on the heat transfer and flow characteristics that is more visible when compared to other types of particles. The temperature distribution increases with the increase of the Reynolds number, Bruntel number, Eckert number, but the velocity distribution decreases with the increase of the Reynolds number. Finally, the obtained findings demonstrate PIS efficacy, accuracy, and convenience in solving the problem of nanofluid flow.
