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Heat Transfer Research
IF: 0.404 5-Year IF: 0.8 SJR: 0.264 SNIP: 0.504 CiteScore™: 0.88

ISSN Print: 1064-2285
ISSN Online: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2016011839
pages 221-238


Mehdi Fakour
Young Researchers and Elites Club, Sari Branch, Islamic Azad University, Sari, Iran
D.D. Ganji
Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, Iran
A. Khalili
Department of Mechanical Engineering, Iran University, Tehran, Iran
A. Bakhshi
Department of Mechanical Engineering, Babol University of Science and Technology, Babol, Iran


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.