Sains Malaysiana 48(2)(2019): 451–471

http://dx.doi.org/10.17576/jsm-2019-4802-24

 

Mixed Convection in Lid-Driven Cavity with Inclined Magnetic Field

(Perolakan Campuran dalam Rongga Berpenutup Bergerak dengan Medan Magnet Condong)

 

N.A. BAKAR¹, R. ROSLAN¹, A. KARIMIPOUR² & I. HASHIM^3*

 

¹Center of Research on Computational Mathematics, Faculty of Applied Sciences & Technology, Universiti Tun Hussein Onn Malaysia, KM1, Jln. Panchor, 84600 Muar, Johor Darul Takzim, Malaysia

 

²Department of Mechanical Engineering, Faculty of Engineering, Najafabad Branch, Islamic Azad University, 8514143131 Isfahan, Iran

 

³School of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor Darul Ehsan, Malaysia

 

Received: 31 March 2018/Accepted: 29 October 2018

 

ABSTRACT

Effects of magnetic field inclination on fluid flow and heat transfer in a two-dimensional square cavity are analyzed numerically. The vertical walls are well insulated, the bottom wall is maintained at a cold temperature, while the top moving lid is kept at a hot temperature. The finite volume method and SIMPLE algorithm are employed to solve the dimensionless governing equations. The results are presented by the profile of streamlines and isotherms, and the variation of Nusselt number. Mixed convection flow is retarded by the presence of the magnetic field and the average Nusselt number is an increasing function of the magnetic field angle.

 

Keywords: Finite volume method; inclined magnetic field; lid-driven; mixed convection

 

ABSTRAK

Kesan kecondongan medan magnet pada aliran bendalir dan pemindahan haba dalam rongga empat segi dua dimensi dianalisis secara berangka. Dinding menegak berpenebat dengan baik, dinding bawah dikekalkan pada suhu sejuk, manakala penutup atas yang bergerak dikekalkan pada suhu panas. Kaedah isi padu terhingga dan algoritma SIMPLE digunakan untuk menyelesaikan persamaan menakluk tanpa dimensi. Keputusan dibentangkan dalam bentuk profil aliran dan isoterma dan variasi nombor Nusselt. Kadar aliran perolakan campuran diperlahankan dengan kehadiran medan magnet dan purata nombor Nusselt adalah fungsi menokok terhadap sudut medan magnet.

 

Kata kunci: Kaedah isi padu terhingga; medan magnet condong; penutup bergerak; perolakan campuran

 

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*Corresponding author; email: ishak_h@ukm.edu.my