Sains Malaysiana
39(6)(2010): 1035–1039
Aliran Lapisan
Sempadan Bersebelahan Plat Tegak dengan
Suhu Permukaan Malar
(Boundary Layer Flow Adjacent to a Vertical Plate with Constant
Surface Temperature)
Anuar Ishak*
Pusat Pengajian Sains
Matematik
Fakulti Sains dan
Teknologi, Universiti Kebangsaan Malaysia
43600 UKM Bangi,
Selangor, Malaysia
Diserahkan: 30 Disember
2008 / Diterima: 20 Mei 2010
ABSTRAK
Pembentukan
lapisan sempadan halaju dan terma yang dirangsang oleh aliran bebas
bersebelahan plat tegak dengan suhu permukaan malar dikaji. Persamaan-persamaan
menakluk dalam bentuk persamaan pembezaan separa diturunkan kepada
persamaan-persamaan pembezaan biasa dengan penjelmaan keserupaan, sebelum
diselesaikan secara berangka. Kedua-dua aliran membantu dan aliran menentang
dipertimbangkan. Didapati bahawa penyelesaian adalah unik bagi aliran membantu,
manakala penyelesaian dual wujud bagi aliran menentang. Kadar pemindahan haba
pada permukaan didapati meningkat dengan peningkatan kedua-dua daya keapungan
dan nombor Prandtl.
Kata
kunci: Lapisan sempadan; pemindahan haba; penyelesaian dual; penyelesaian
keserupaan
ABSTRACT
The
development of velocity and thermal boundary layers induced by a free stream
adjacent to a vertical plate with constant surface temperature was studied. The
governing partial differential equations were reduced to ordinary ones by a
similarity transformation, before being solved numerically. Both assisting and
opposing flows were considered. It was found that the solution was unique for
the assisting flow, while dual solutions were found to exist for the opposing
flow. The heat transfer rate at the surface was found to increase with both the
buoyancy force and the Prandtl number.
Keywords:
Boundary layer; dual solutions; heat transfer; similarity solution
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*Pengarang
untuk surat-menyurat; email: anuarishak@yahoo.com
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