Numerical Solutions of Free Convection Boundary Layer Flow on a Solid Sphere with Convective Boundary Conditions

2014 International Conference on Science & Engineering in Mathematics, Chemistry and Physics

数学;化学;物理学

Alkasasbeh, H.T.^1 ; Salleh, M.Z.^1 ; Tahar, R.M.^2 ; Nazar, R.^3

Faculty of Industrial Science and Technology, University Malaysia Pahang, 26300 UMP Kuantan, Pahang, Malaysia^1

Faculty of Technology, Universiti Malaysia Pahang, 26300 UMP Kuantan, Pahang, Malaysia^2

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia^3

关键词: Convective boundary conditions;    Flow and heat transfer;    Free convection boundary-layer flow;    Implicit finite-difference schemes;    Local heat transfer coefficient;    Local skin-friction coefficient;    Systems of partial differential equations;    Temperature profiles;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/495/1/012025/pdf
DOI  :  10.1088/1742-6596/495/1/012025

来源: IOP

【 摘 要 】

The free convection boundary layer flow on a solid sphere with convective boundary conditions has been investigated. The basic equations of boundary layer are transformed into a non-dimensional form and reduced to nonlinear systems of partial differential equations are solved numerically using an implicit finite difference scheme known as the Keller-box method. Numerical results are obtained for the wall temperature, the local heat transfer coefficient and the local skin friction coefficient, as well as the velocity and temperature profiles of the fluid. The features of the flow and heat transfer characteristics for Prandtl number, Pr 0.7 7 and 100, the conjugate parameter y = 0.05, 0.1, 0.2 and the coordinate running along the surface of the sphere, 0° ≤ x ≤ 120° are analyzed and discussed.