Study of nanofluid flow and heat transfer between non-parallel stretching walls considering Brownian motion

Abstract

In this paper, the nanofluid flow and heat transfer between non-parallel stretching walls with Brownian motion effect is investigated. The governing radial momentum and energy equations are solved by Duan–Rach Approach (DRA). This method allows us to find a solution without using numerical methods to evaluate the undetermined coefficients. This method modifies the standard Adomian Decomposition Method by evaluating the inverse operators at the boundary conditions directly. The effective viscosity and thermal conductivity of nanofluid are calculated via KKL (Koo–Kleinstreuer–Li) correlation in which influence of Brownian motion on the thermal conductivity is considered. The effects of various parameters such as the stretching/shrinking parameter, the radiation parameter, Reynolds number, the opening angle and the heat source parameter are investigated on the velocity and temperature. Also, the value of the Nusselt number is calculated and presented through figures. The results show that the fluid velocity, temperature profile and Nusselt number increase with the increasing of stretching parameter. The results also reveal that the temperature profile increases with the increasing of the heat source parameter and it decreases with the rising of radiation parameter for both divergent and convergent channel. In addition, the results were compared with the previous works and found proposed method has high accuracy to solve this nonlinear problem.