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

Diserahkan: 25 Jun 2014/Diterima: 6 Ogos 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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*Pengarang untuk surat-menyurat; email: rozaini@uthm.edu.my