Sains Malaysiana 45(2)(2016): 289-296

Free Convection Boundary Layer Flow on a Horizontal Circular Cylinder in a Nanofluid with Viscous Dissipation

(Olakan Bebas Aliran Lapisan Sempadan pada Silinder Bulat Mengufuk dalam Nanobendalir dengan Pelesapan Likat)

Muhammad Khairul Anuar Mohamed¹, Nor Aida Zuraimi Md Noar¹, Mohd Zuki Salleh*¹ & Anuar Ishak²

¹Applied & Industrial Mathematics Research Group, Faculty of Industrial Sciences and Technology

Universiti Malaysia Pahang, 26300 Kuantan, Pahang Darul Makmur, Malaysia

²School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul Ehsan, Malaysia

Received: 10 April 2015/Accepted: 2 July 2015

ABSTRACT

In this paper, the problem of free convection boundary layer flow on a horizontal circular cylinder in a nanofluid with viscous dissipation and constant wall temperature is investigated. The transformed boundary layer equations are solved numerically using finite difference scheme namely the Keller-box method. Numerical solutions were obtained for the reduced skin friction coefficient, Nusselt number and Sherwood number as well as the velocity and temperature profiles.The features of the flow and heat transfer characteristics for various values of the Brownian motion parameter, thermophoresis parameter, Lewis number and Eckert number were analyzed and discussed.

Keywords: Free convection; horizontal circular cylinder; nanofluid; viscous dissipation

ABSTRAK

Dalam kajian ini, masalah olakan bebas aliran lapisan sempadan pada silinder bulat mengufuk dalam nanobendalir dengan pelesapan likat dan suhu permukaan malar dikaji. Persamaan lapisan sempadan terjelma diselesaikan secara berangka dengan menggunakan skim beza terhingga dikenali sebagai kaedah kotak Keller. Penyelesaian berangka diperoleh bagi pekali geseran kulit diturunkan, nombor Nusselt dan nombor Sherwood diturunkan serta profil halaju dan suhu. Ciri aliran dan pemindahan haba bagi pelbagai nilai parameter gerakan Brown, parameter termoforesis, nombor Lewis dan  nombor Eckert dianalisis dan dibincangkan.

Kata kunci: Nanobendalir; olakan bebas; pelesapan likat; silinder bulat mengufuk

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*Corresponding author; email: zukikuj@yahoo.com