A NEW ANALYTICAL INVESTIGATION OF NATURAL CONVECTION OF NON- NEWTONIAN NANOFLUIDS FLOW BETWEEN TWO VERTICAL FLAT PLATES BY THE GENERALIZED DECOMPOSITION METHOD (GDM)

Abstract

In this work, natural convection in a non-Newtonian fluid/nanofluid between two vertical plates isinvestigated. The study was carried out on three types of nanofluids, namely Silver/Water, Oxide Copper-Water and Titanium oxide/Water. The mathematical formulation gives a set of strongly coupled nonlinearordinary differential equations of the second order. These equations, characterizing velocity and temperaturedistributions, were solved numerically by the Runge-Kutta fourth order method, and analytically by a newAdomian of decomposition approach named the Adomian generalized method (GDM). The results showclearly the effectiveness, accuracy and applicability of the used technique (GDM). Using nanoparticles (Ag,C uO and TiO 2 ) in water as a base fluid substantially increases the coefficient of friction and characteristics ofheat transfer. Compared to other works, the generalized Adomian decomposition technique (GDM) offers theadvantages of precision and velocity of convergence.