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Sains Malaysiana 38(4)(2009): 559–565
(Aliran MHD dan Perpindahan Haba Berhampiran Satu Lapisan yang Mengecut dalam Suatu Medium Telap)
Noor Fadiya Mohd Noor
Faculty of Applied Science and Mathematics
Universiti Industri Selangor, 45600 Bestari Jaya, Selangor,Malaysia
Ishak Hashim*
Centre for Modeling & Data Analysis
School of Mathematical Sciences, Universiti Kebangsaan Malaysia
43600 Bangi,
Selangor D.E., Malaysia
ABSTRACT
The magnetohydrodynamic (MHD) boundary-layer flow and heat transfer due to a shrinking sheet in a
porous medium is considered for the first time. The Navier-Stokes
equations and the heat equation are reduced to two nonlinear ordinary
differential equations via similarity transformations. The transformed
equations are solved by a semi-analytic method. The effects of the suction and
porosity parameters, the Prandtl and Hartmann numbers
on the skin friction, heat transfer rate, velocity and
temperature profiles are discussed and presented, respectively.
Keyword:
Boundary-layer; heat transfer; MHD; porous medium; shrinking sheet
ABSTRAK
Aliran lapisan sempadan magnetohidrodinamik (MHD) dan perpindahan haba dari lapisan yang mengecut dalam satu medium telap dipertimbangkan untuk pertama kali. Persamaan Navier-Stokes dan persamaan haba dipermudahkan menjadi dua persamaan pembezaan biasa tak linear melalui penjelmaan keserupaan. Persamaan yang terjelmakan itu diselesaikan dengan kaedah separa-analisis. Kesan parameter sedutan dan keliangan, nombor Prandtl dan Hartmann terhadap pekali geseran kulit, pekali pemindahan haba, profil halaju dan suhu dibincang dan ditunjukkan.
ata kunci: Lapisan sempadan; lapisan mengecut; MHD; medium telap; perpindahan haba
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