Two-Phase Nanofluid Thermal Analysis over a Stretching Infinite Solar Plate Using Keller Box Method (KBM)

Document Type : Research Article


1 Young Researchers and Elite Club, Najafabad Branch, Islamic Azad University, Najafabad, I.R. IRAN

2 Department of Mechanical Engineering, Babol University of Technology, Babol, I.R. IRAN

3 Department of Mechanical Engineering, Esfarayen University of Technology, Esfarayen, North Khorasan, I.R. IRAN + \ International Research Center for Renewable Energy, State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an 710049, P.R. China


In the present study, two-phase nanofluid flow in a three-dimensional system is modeled over a stretching infinite solar plate and the heat transfer analysis is performed for this problem. The governing equations are presented based on previous studies and the suitable solution method is recommended due to infinite boundary condition in the problem. Keller Box Method (KBM) using the Maple 15.0 mathematical software is applied as the solution method for the governing equation of the problem. The effect of some parameters existed in the equations (Pr (Prandtl number), Sc (Schmidt number), Nb (Brownian motion parameter), Nt (Thermophoresis parameter), λ=b/a (ratio of the stretching rate along y to x directions) and n (power-law index)), are discussed on the velocities, temperature, and nanoparticles concentration functions. As an important outcome, increasing both n and λ parameters, makes a reduction in shear stress, while it increase the Nusselt number function of heat transfer.


Main Subjects

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