Sains Malaysiana 40(10)(2011):
1179–1186
MHD Stagnation
Point Flow with Suction Towards a Shrinking Sheet
(Aliran Titik
Genangan MHD dengan
Sedutan terhadap Kepingan yang Mengecut)
Lok
Yian Yian*
Mathematics
Division, School of Distance Education, Universiti Sains Malaysia
11800
USM, Pulau Pinang, Malaysia
Anuar
Ishak
School
of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi
Selangor
D.E. Malaysia
Ioan
Pop
Faculty
of Mathematics, University of Cluj, R-3400 Cluj, CP 253 Romania
Diserahkan:
7 Julai 2010 / Diterima: 10 November 2010
ABSTRACT
A steady two-dimensional
magnetohydrodynamic (MHD)
stagnation-point flow of a viscous and electrically conducting fluid over a
permeable shrinking sheet has been studied. The governing partial differential
equations are reduced to the nonlinear ordinary differential equations by a
similarity transformation. The resulting differential equations are then solved
numerically using an implicit finite difference method. It is found that the solutions
are non-unique for weak magnetic field, strong suction and large velocity ratio
between free stream velocity and wall shrinking velocity.
Keyword: MHD;
shrinking sheet; stagnation point; suction
ABSTRAK
Aliran titik genangan dua
matra mantap magnetohidrodinamik (MHD)
terhadap kepingan meregang telah dikaji. Persaman pembezaan separa menakluk
diturunkan kepada persamaan pembezaan biasa tak linear dengan menggunakan
penjelmaan keserupaan. Persamaan pembezaan biasa yang terhasil itu kemudiannya
diselesaikan secara berangka menggunakan kaedah beza terhingga tersirat.
Didapati bahawa penyelesaian adalah tidak unik untuk medan magnet yang lemah,
sedutan yang kuat dan nisbah halaju yang besar antara halaju aliran bebas
dengan halaju pengecutan dinding kepingan.
Kata kunci: Lapisan mengecut; MHD;
sedutan; titik genan
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*Pengarang
untuk surat-menyurat; email: lyianyian@yahoo.com
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