STEADY LAMINAR MIXED CONVECTION STAGNATION-POINT FLOW OF A NANOFLUID OVER A VERTICAL PERMEABLE SURFACE IN THE PRESENCE OF A MAGNETIC FIELD
H. Tamim1, S. Dinarvand2, R. Hosseini3, H. Rahimi2, I. Pop4
1Department of Mechanical Engineering, Islamic Azad University, Arak Branch, Arak, Iran
2Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran
3Department of Mechanical Engineering, Amirkabit University of Technology, Tehran, Iran
4Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, 400084, Romania
Keywords: пограничный слой, наножидкость, преобразование подобия, течение вблизи точки торможения потока, смешанная конвекция, отсос и вдув, решение в форме ряда, сходимость, метод гомотопического анализа, Boundary layer, nanofluid, similarity transform, stagnation-point flow, mixed convection, suction/injection, series solution, convergence, HAM
Abstract
A similarity solution for a steady laminar mixed convection boundary layer flow of a nanofluid near the stagnation point on a vertical permeable plate with a magnetic field and a buoyancy force is obtained by solving a system of nonlinear ordinary differential equations. These equations are solved analytically by using a new kind of a powerful analytic technique for nonlinear problems, namely, the homotopy analysis method (HAM). Three different types of nanoparticles, namely, copper Cu, alumina Al2O3, and titanium oxide TiO2, with water as the base fluid are considered. The influence of the volume fraction of nanoparticles, permeability parameter, magnetic parameter, and mixed convection parameter on the surface shear stress and surface heat transfer, as well as on the velocity and temperature profiles, is considered. It is observed that the skin friction coefficient and the local Nusselt number increase with the nanoparticle volume fraction for all types of nanoparticles considered in this study. The greatest values of the skin friction coefficient and the local Nusselt number are obtained for Cu nanoparticles.
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