Title :
An RBF Solution to a Stagnation Point Flow Towards a Stretching Surface with Heat Generation
Author :
Kazem, Saeed ; Sanaeikia, Alireza ; Ahmadvand, Mohsen ; Saberi, Hasan
Author_Institution :
Dept. of Math. & Stat., Allameh Tabatabai Univ., Tehran, Iran
Abstract :
In this paper, we propose radial basis function (RBF) to solve nonlinear momentum and energy equations obtained from modeling steady laminar flow through a porous medium of an incompressible viscous conducting fluid impinging on a permeable stretching surface with heat generation. This flow impinges normal to a plane wall with heat transfer. Our reports consist of the effect of the porosity of the medium, the surface stretching velocity, and the heat generation/absorption coefficient on both the flow and heat transfer. A simple solution by using collocation points over the almost whole domain [0,∞) is obtained. We apply this method through the definite integration process and satisfy the infinity boundary condition by using Gaussian RBF.
Keywords :
Gaussian distribution; boundary layers; flow through porous media; heat transfer; laminar flow; porosity; stagnation flow; viscosity; Gaussian radial basis function; collocation points; energy equations; heat generation-absorption coefficient; heat transfer; incompressible viscous conducting fluid; infinity boundary condition; nonlinear momentum; porous medium; stagnation point flow; surface stretching velocity; Absorption; Electronic mail; Equations; Heat transfer; Heating; Interpolation; Mathematical model;
Conference_Titel :
Computational Science and Engineering (CSE), 2011 IEEE 14th International Conference on
Conference_Location :
Dalian, Liaoning
Print_ISBN :
978-1-4577-0974-6
DOI :
10.1109/CSE.2011.51