ANALYSIS OF A BOUNDARY LAYER FLOW OF A NANOFLUID OVER AN INCLINED PLANE VIA ADM

Abstract

The study of Boundary layer flow of a nanofluid in an inclined moving plane at an angle  is carried out analytically using Adomian decomposition method (ADM). The Mathematical equations presented incorporate the effects of Brownian motion, thermophoresis and Magnetic parameter. Unlike the previously published works which considered a convective heating boundary condition. The present study considered an inclined moving plane at angle  in 2-dimensions with thermal conditions of constant temperature and heat flux. The solutions to the momentum, temperature and concentration distributions were obtained via the ADM and depends on, Magnetic parameter M, Prandtl number Pr, Lewis number Le, the Brownian motion parameter Nb, the thermophoresis parameter Nt and Grashof numbers Gr and Gc. A good agreement was established between the Adomian Decomposition method and the Numerical method (Shooting technique) for some values of M while other Physical terms on the velocity profile are set to 0. Results are presented in graphical forms illustrating the effects of these parameters on Momentum, thermal and concentration boundary layers. The momentum boundary layer reduces with increase in the magnetic parameter.