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Sains Malaysiana 43(3)(2014):
491–496
Flow and Heat Transfer of a Power-Law Fluid over a Permeable Shrinking Sheet (Aliran dan Pemindahan Haba bagi Bendalir Hukum-Kuasa di Atas
Lembaran Telap yang Mengecut)
NOR AZIZAH YACOB1& ANUAR
ISHAK2*
1Faculty of Computer and Mathematical Sciences, Universiti Teknologi
MARA
Pahang 26400 Bandar Tun Razak Jengka, Pahang, Malaysia
2School of Mathematical Sciences, Faculty of Science and Technology
Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia
Diserahkan: 24 Ogos 2012/Diterima: 8 Jun 2013
ABSTRACT
The steady, two-dimensional laminar flow of a power-law fluid over
a permeable shrinking sheet of constant surface temperature is investigated.
The governing partial differential equations were transformed into a system of
nonlinear ordinary differential equations using a similarity transformation,
before being solved numerically by the Runge-Kutta-Fehlberg method with
shooting technique. The results are presented graphically and the effects of
the power-law index n, suction parameter fw and Prandtl number Pr
were discussed. It was found that stronger suction is necessary for the
solution to exist for a pseudoplastic fluid (n<1) compared to a dilatant fluid (n>1).
Keywords: Boundary layer; heat transfer; power-law fluid;
shrinking sheet
ABSTRAK
Aliran lamina mantap dua matra bendalir
hukum-kuasa di atas lembaran telap dengan suhu permukaan malar yang mengecut
dikaji. Persamaan
pembezaan separa dijelmakan menjadi satu sistem persamaan pembezaan biasa tak
linear menggunakan penjelmaan keserupaan, sebelum diselesaikan secara berangka
menggunakan kaedah Runge-Kutta-Fehlberg dengan teknik tembakan. Keputusan dibentangkan secara grafik dan kesan indeks hukum-kuasa
n, parameter sedutan fw dan nombor Prandtl Pr dibincangkan. Didapati bahawa sedutan yang kuat adalah perlu supaya penyelesaian
wujud bagi bendalir pseudoplastik (n<1)
berbanding dengan bendalir dilatan (n>1).
Kata kunci: Bendalir hukum-kuasa; lapisan
sempadan; lembaran mengecut; pemindahan haba
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*Pengarang untuk surat-menyurat; email: anuar_mi@ukm.my
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