## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Flow and heat transfer of MHD graphene oxide-water nanofluid between two non-parallel walls

**ABSTRACT**

The steady two-dimensional 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 nonlinear problem is obtained by Galerkin Optimal Homotopy Asymptotic Method (GOHAM). At first a similarity transformation is used to reduce the partial differential equations modeling the flow and heat transfer to ordinary nonlinear differential equation systems containing the semi angle between the plates 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.

**KEYWORDS**

PAPER SUBMITTED: 2015-05-13

PAPER REVISED: 2015-06-19

PAPER ACCEPTED: 2015-07-01

PUBLISHED ONLINE: 2015-07-03

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