MHD nanofluid flow in a semi-porous channel

Abstract

This research project paper, the problem of laminar nanofluid flow in a semi-porous chan- nel is investigated analytically using Homotopy Perturbation Method (HPM), Least Square Method (LSM) and Differential Transformation Method (DTM). This problem is in the presence of transverse magnetic field. Due to existence some shortcomings in each method, a novel and efficient method named LS-DTM is introduced which omitted those defects and has an excellent agreement with numerical solution. Here, it has been attempted to show the capabilities and wide-range applications of the Homotopy Perturbation Method in comparison with the numerical method used for solving problems. Then, we consider the influence of the three dimensionless numbers: the nanofluid volume friction, Hartmann number for the description of the magnetic forces and the Reynolds number for the dy- namic forces.