▎ 摘　　要

In this paper, the heat transfer of the unsteady nanofluid flow between two moving parallel plates was investigated analytically using Galerkin Optimal Homotopy Asymptotic Method (GOHAM). The effect of the Graphene nanoparticle solid volume fraction, the moving parameter and the Eckert number on temperature profile have been investigated. Velocity profiles for various moving parameter have been also studied. The effect of moving parameter on velocity profiles have been shown for cases plates moving apart and moving together. Nusselt number have been achieved for various type of nanoparticles, solid volume fraction and Eckert number. The results obtained from numerical solutions via fourth grade order Runge-Kutta are in excellent agreement with those obtained from GOHAM.