Sains Malaysiana 40(10)(2011): 1193–1199
MHD Stagnation-Point
Flow towards a Stretching Sheet with
Prescribed Surface Heat Flux
(Aliran Titik
Genangan MHD terhadap Helaian Meregang dengan Fluks Haba Permukaan
Ditetapkan)
Anuar Ishak* &
R. Nazar
School of
Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi
Selangor,
Malaysia
Norihan M. Arifin
& Fadzilah M. Ali
Department of
Mathematics, Faculty of Science, Universiti Putra Malaysia
43400 UPM Serdang,
Selangor, Malaysia
Ioan Pop
Faculty of
Mathematics, University of Cluj, R-3400 Cluj, CP 253, Romania
Diserahkan: 15
Julai 2010 / Diterima: 6 September 2010
ABSTRACT
The steady two-dimensional
stagnation point flow of an incompressible viscous and electrically conducting
fluid, subject to a transverse uniform magnetic field, towards a stretching
sheet is investigated. The governing system of partial differential equations
are transformed to ordinary differential equations, which are then solved
numerically using a finite difference scheme known as the Keller-box method.
The effects of the governing parameters on the flow field and heat transfer
characteristics are obtained and discussed. It is found that the heat transfer
rate at the surface increases with the magnetic parameter when the free stream
velocity exceeds the stretching velocity, i.e. ε>1, and the opposite is
observed when ε<1.
Keywords: Heat transfer;
magnetohydrodynamic; stagnation point flow; stretching surface
ABSTRAK
Aliran titik genangan mantap
dua matra bagi bendalir likat tak termampatkan dan pengkonduksi elektrik
terhadap helaian meregang tertakluk kepada medan magnet melintang seragam
diselidik. Sistem menakluk persamaan pembezaan separa dijelmakan kepada
persamaan pembezaan biasa, yang kemudiannya diselesaikan secara berangka menggunakan
skim beza terhingga dikenali sebagai kaedah kotak Keller. Kesan
parameter-parameter menakluk terhadap medan aliran dan ciri-ciri pemindahan
haba diperoleh dan dibincangkan. Didapati bahawa kadar pemindahan haba pada
permukaan meningkat dengan peningkatan parameter magnet apabila halaju aliran
bebas melebihi halaju regangan, iaitu ε>1, dan keputusan yang
bertentangan diperhatikan apabila ε<1.
Kata kunci: Aliran titik genangan; magnetohidrodinamik; pemindahan
haba; permukaan meregang
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*Pengarang untuk surat-menyurat; e-mail: anuarishak@yahoo.com
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