Sains Malaysiana 41(10)(2012): 1281–1285

Investigation of the Laminar Viscous Flow in a Semi-Porous Channel in the Presence

of Uniform Magnetic Field using Optimal Homotopy Asymptotic Method

(Kajian tentang Aliran Likat Lamina dalam Terusan Semi-Berliang dengan Kehadiran

Medan Magnet Seragam menggunakan Kaedah Homotopi Asimptot Optimum)

Mohsen Shekholeslami*, Hamid Reza Ashorynejad & Davood Domairry

Department of Mechanical Engineering, Babol University of Technology, Babol,

Islamic Republic of Iran

Ishak Hashim

School of Mathematical SciencesUniversiti Kebangsaan Malaysia, 43600 Bangi, Selangor

Malaysia

Received: 6 June 2012 / Accepted: 20 June 2012

ABSTRACT

In this paper, the problem of laminar viscous flow in a semi-porous channel in the presence of transverse magnetic field is studied. The Optimal Homotopy Asymptotic Method (OHAM) is employed to approximate the solution of the system of nonlinear differential equations governing the problem. The influence of the Hartmann number (Ha) and the Reynolds number (Re) on the flow was investigated. The results of the OHAM were compared with homotopy analysis method (HAM) and variation iteration method (VIM) results.

Keywords: Laminar viscous flow; magnetic field; optimal homotopy asymptotic method; porous channel

ABSTRAK

Dalam makalah ini, masalah aliran likat lamina dalam terusan semi-berliang dengan kehadiran medan magnet dikaji. Kaedah homotopi asimptot optimum (KHAO) digunakan untuk mencari penyelesaian hampiran bagi sistem persamaan terbitan tak linear yang menakluk model itu. Kesan nombor Hartmann (Ha) dan nombor Reynolds (Re) terhadap aliran diselidiki. Hasil daripada KHAO dibandingkan dengan hasil daripada kaedah analisis homotopi (KAH) dan kaedah lelaran ubahan (KLU).

Kata kunci: Aliran likat laminar; kaedah homotopi asimptot optimum; medan magnet; terusan berliang

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*Corresponding author; email: Mohsen.Sheikholeslami@yahoo.com