UDC 533.6

D. H. Zhang and F. W. Li

A BOUBAKER POLYNOMIALS EXPANSION SCHEME (BPES) RELATED ANALYTICAL SOLUTION TO WILLIAMS-BRINKMANN STAGNATION POINT FLOW EQUATION AT A BLUNT BODY
An analytic solution for the problem of Williams-Brinkmann axisymmetric steady flow in the vicinity of a stagnation point at a blunt body is proposed. The boundary conditions are embedded in the main system of equations by means of the Boubaker Polynomials Expansion Scheme (BPES). These differential equations are solved analytically and yield continuous and differentiable solutions compared to some published ones. Keywords: Williams-Brinkmann flow; stagnation point; Boubaker polynomials expansion scheme (BPES); boundary conditions; non-Newtonian fluid; fluid hydrodynamics. Department of Physics, South China University, China; email: zhangdahong2003@yahoo.cn. Original article submitted September 12, 2009; revision submitted June 10, 2010.