Magnetohydrodynamic flow in a permeable channel filled with nanofluid

In this paper, the problem of laminar Magnetohydrodynamic nanofluid flow in a porous channel is investigated. Optimal Homotopy Asymptotic Method (OHAM) is used to solve this problem.In order to consume CPU time, Galerkin method is used to minimize the residual. This investigation compared with numerical method (four-order Rung-kutte method) and found to be in excellent agreement. The base fluid in the channel is water containing copper as nanoparticle. The effective thermal conductivity and viscosity of nanofluid are calculated by the Maxwell–Garnetts (MG) and Brinkman models, respectively. The influence of the three dimensionless numbers: the nanofluid volume fraction, Hartmann number and the Reynolds number are examined. The results indicate that velocity boundary layer thickness decreases with increase of Reynolds number and nanoparticle volume fraction and it increases as Hartmann number increases.