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

Year 2018, Volume: 4 Issue: 6, 2496 - 2508, 29.09.2018

Tabet Ismail

https://doi.org/10.18186/thermal.465731

Cited By: 12

Abstract

In this work, natural convection
in a non-Newtonian fluid/nanofluid between two vertical plates is investigated.
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 nonlinear ordinary
differential equations of the second order. These equations, characterizing velocity
and temperature distributions, were solved numerically by the Runge-Kutta fourth
order method, and analytically by a new Adomian of decomposition approach named
the Adomian generalized method (GDM). The results show clearly the
effectiveness, accuracy and applicability of the used technique (GDM). Using nanoparticles (Ag, C_uO
and



















)
in water as a base fluid substantially increases the coefficient of friction
and characteristics of heat transfer. Compared to other works, the generalized
Adomian decomposition technique (GDM) offers the advantages of precision and velocity
of convergence.

Keywords

Natural Convection, Nanofluids, Analytical Methods, Adomian Generalized Method (GDM)

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