Monday 17 January 2011

Numerical Solutions of the Forced Convection Boundary Layer Flow at a Forward Stagnation Point

M. Z. Salleh
Faculty of Mechanical Engineering, Universiti Malaysia Pahang
25000 UMP Kuantan, Pahang, Malaysia
E-mail: zukikuj@yahoo.com
S. Ahmad
School of Mathematical Sciences, University Putra Malaysia
43400 UPM Serdang, Selangor, Malaysia
E-mail: syakilaahmad@yahoo.com
R. Nazar
School of Mathematical Sciences, Universiti Kebangsaan Malaysia
43600 UKM Bangi, Selangor, Malaysia
E-mail: rmn72my@yahoo.com

Abstract
The mathematical modelling for forced convection boundary layer flow at a
forward stagnation point with constant wall temperature (CWT) and constant heat flux
(CHF) is considered. The boundary layer equations are transformed to similarity equations
using similarity transformation. The transformed equations are solved numerically using a
numerical scheme known as the Keller-box method. Numerical solutions are obtained for
the heat transfer coefficient, surface temperature as well as velocity and temperature
profiles. The features of the flow and heat transfer characteristics for different values of the
Prandtl number are analyzed and discussed. Comparisons with previous work by other
method show good agreement.
Keywords: Boundary layer, Forced convection, Numerical solution, Forward stagnation
point, Constant wall temperature, Constant heat flux.
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