Sains Malaysiana 41(11)(2012): 1467–1473

Stagnation Point Flow over a Stretching Sheet with Newtonian Heating

(Aliran Titik Genangan pada Helaian Meregang dengan Pemanasan Newtonan)

Muhammad Khairul Anuar Mohamed

Fakulti Informasi & Teknologi Interaktif, Kolej Universiti Shahputra 25200 Kuantan, Pahang, Malaysia

Mohd Zuki Salleh*

Fakulti Sains dan Teknologi Industri, Universiti Malaysia Pahang

26300 UMP Kuantan, Pahang, Malaysia

Roslindar Nazar, Anuar Ishak

Pusat Pengajian Sains Matematik, Fakulti Sains dan Teknologi

Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

Received: 24 February 2012 / Accepted: 23 June 2012

ABSTRACT

In this study, the numerical solution of stagnation point flow over a stretching surface, generated by Newtonian heating in which the heat transfer from the surface is proportional to the local surface temperature is considered. The transformed boundary layer equations are solved numerically using the shooting method. Numerical solutions are obtained for the local heat transfer coefficient, the surface temperature and the temperature profiles. The features of the flow and heat transfer characteristics for various values of the Prandtl number, stretching parameter and conjugate parameter are analyzed and discussed.

Keywords: Newtonian heating; numerical solution; stagnation point flow; stretching sheet

ABSTRAK

Dalam kajian ini, penyelesaian berangka bagi masalah aliran titik genangan pada permukaan meregang yang dijanakan oleh pemanasan Newtonan, iaitu pemindahan haba daripada permukaan berkadar langsung dengan suhu permukaan setempat dipertimbangkan. Persamaan lapisan sempadan terjelma diselesaikan secara berangka dengan kaedah tembakan. Penyelesaian berangka diperoleh bagi pekali pemindahan haba setempat, suhu permukaan dan profil suhu. Ciri-ciri aliran dan pemindahan haba bagi pelbagai nilai nombor Prandtl, parameter regangan dan parameter konjugat dianalisis dan dibincangkan.

Kata kunci: Aliran titik genangan; helaian meregang; pemanasan Newtonan; penyelesaian berangka

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*Corresponding author; email: zukikuj@yahoo.com