An Official Journal of the American Society of Thermal and Fluids Engineers

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HEAT TRANSFER IN NANOFLUID MHD FLOW IN A CHANNEL WITH PERMEABLE WALLS

ABSTRACT

In this paper, heat transfer in laminar flow in a channel with permeable walls in the presence of a transverse magnetic field is investigated. The Least Square Method (LSM) is used for solving approximate nonlinear differential equations governing the problem. We have tried to show reliability and performance of the present method compared with the Runge−Kutta numerical method (fourth-rate) to solve this problem. The influence of the four dimensionless numbers: the Hartmann number, Reynolds number, Prandtl number, and the Eckert number on nondimensional velocity and temperature profiles are considered. The results show that the present analytical method is very close to the numerical method. In general, increasing the Reynolds and Hartman numbers reduces the nanofluid flow velocity in the channel and the maximum value of temperature increase and increasing the Prandtl and Eckert number will increase the maximum value of temperature.