Numerical method for the boundary layer problems of non-Newtonian fluid flows along moving surfaces

Abstract

This paper deals with the iterative transformation method for the solution of the boundary layer problem of a non-Newtonian power-law fluid flow along a moving flat surface. Applying similarity transformation to the system of the governing partial differential equations, we derive the boundary value problem of a nonlinear ordinary differential equation on $[0,\infty)$. Numerical solutions are obtained for the velocity components. Moreover, we exhibit the drag coefficient dependence on the velocity ratio and on the power-law exponent.

Keywords

• boundary layer problem
• non-newtonian fluid mechanics
• similarity solution