Sains Malaysiana 45(2)(2016): 315-321
Effects
of Radiation on Free Convection from a Heated Horizontal Circular Cylinder
in
the Presence of Heat Generation
(Kesan Radiasi terhadap Perolakan Bebas pada Silinder Membulat
Melintang yang Dipanaskan dengan Penjana Haba)
N. Zainuddin1, I. Hashim23, H. Saleh2 & R. Roslan*1
1Centre for Research in Computational Mathematics, Faculty of
Science, Technology and
Human Development, Universiti Tun Hussein Onn Malaysia, 86400
Batu Pahat,
Johor Darul Takzim, Malaysia
2Centre for Modelling & Data Analysis, School of
Mathematical Sciences,
Universiti Kebangsaan Malaysia, 43600 Bangi,
Selangor Darul Ehsan, Malaysia
3Research Institute, Center for Modeling and Computer
Simulation,
King Fahd University of Petroleum and Minerals,
Dhahran 31261, Saudi Arabia
Received: 25 June 2014/Accepted: 6 August 2015
ABSTRACT
Effects of radiation on free convection about a
heated horizontal circular cylinder in the presence of heat generation is
investigated numerically. The cylinder is fixed and immersed in a stationary
fluid, in which the temperature is uniformly heated about the temperature of
the surrounding fluid. The governing equations are transformed into
dimensionless non-linear partial differential equations and solved by employing
a finite difference method. An implicit finite difference scheme of Crank
Nicolson method is used to analyze the results. This study determined the
effects of radiation parameter,
heat generation parameter,
and
the Prandtl number,
on
the temperature and velocity profiles. The results of the local heat transfer
and skin-friction coefficient in the presence of radiation for some selected
values of
and
are
shown graphically.
Keywords: Free convection; heat generation;
heated circular cylinder; radiation
ABSTRAK
Kesan radiasi pada perolakan bebas terhadap
silinder bulat melintang dengan kehadiran haba yang dijana telah dikaji secara
berangka. Silinder yang pegun direndam di dalam bendalir yang pegun dengan suhu
silinder tersebut dipanaskan secara sekata berbanding suhu bendalir sekitar.
Persamaan menakluk dijelmakan kepada persamaan terbitan separa tak linear dan
diselesaikan menggunakan kaedah pembeza terhingga. Kaedah pembezaan terhingga
tersirat Crank Nicolson telah digunakan. Kajian ini menentukan kesan parameter
radiasi,
, parameter penjana haba,
dan
nombor Prandtl,
terhadap
profil suhu dan halaju. Hasil pemindahan haba setempat dan pekali geseran kulit
dengan kehadiran radiasi untuk
dan
tertentu
ditunjukkan secara graf.
Kata kunci: Penjana haba; perolakan bebas; radiasi; silinder bulat
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*Corresponding
author; email: rozaini@uthm.edu.my
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