Open AccessFlow and heat transfer of MHD graphene oxide-water nanofluid between two non-parallel walls
Author(s) -
Mohammadreza Azimi,
Rouzbeh Riazi
Publication year - 2017
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci150513100a
Subject(s) - nanofluid , eckert number , prandtl number , materials science , heat transfer , partial differential equation , mechanics , flow (mathematics) , galerkin method , matrix similarity , homotopy analysis method , reynolds number , magnetohydrodynamics , magnetic field , thermodynamics , nusselt number , physics , mathematics , homotopy , mathematical analysis , finite element method , quantum mechanics , turbulence , pure mathematics
The steady 2-D heat transfer and flow between two non-parallel walls of a graphene oxide nanofluid in presence of uniform magnetic field are investigated in this paper. The analytical solution of the non-linear problem is obtained by Galerkin optimal homotopy asymptotic method. At first a similarity transformation is used to reduce the partial differential equations modeling the flow and heat transfer to ordinary non-linear differential equation systems containing the semi angle between the plate?s parameter, Reynolds number, the magnetic field strength, nanoparticle volume fraction, Eckert and Prandtl numbers. Finally, the obtained analytical results have been compared with results achieved from previous works in some cases.