Original scientific paper

MHD flow in a channel using new combination of order of magnitude technique and HPM

Morteza Abbasi ; Department of Aerospace and Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
Davood Domiri Ganji ; Department of Aerospace and Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
Mohammad Taeibi Rahni ; (1) Department of Aerospace and Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran; (2) Aerospace Engineering Department, Sharif University of Technology, Azadi St., Tehrān, Iran

Abstract

The present work is concerned with the steady incompressible flow through a parallel plate channel with stretching walls under an externally applied magnetic field. The governing continuity and Navier-Stokes equations are reduced to a fourth order nonlinear differential equation by using vorticity definition and similarity solution transformation. The obtained equations are solved by applying the analytical homotopy perturbation method (HPM). The method is called order of magnitude suggested for simplifying series solution to finite expression that is useful in engineering problems. The results are verified by comparing with numerical solutions and demonstrate a good accuracy of the obtained analytical solutions. Profiles for velocity are presented for a range of plate velocity and magnetic field. The study shows that a back flow occurs near the center line of the channel and with the increase in strength of magnetic field, the back flow decreases.

Keywords

channel; HPM; magnetohydrodynamic; stretching walls

Hrčak ID:

120383

URI

https://hrcak.srce.hr/120383

Publication date:

26.4.2014.

Article data in other languages: croatian

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