An Integral Solution for the Blasius Equation

The current paper is aimed to propose an approximate analytical method for solving the well-known Blasius boundary-layer problem by combining the Green’s function method and the best approximation theorem. The Blasius equation is the nonlinear ordinary differential equation for the laminar fluid flow over a sheet. The proposed integral solution is developed via the use of the Green’s function idea as well as approximating the nonlinear term of the Blasius Equation. Specifically, the novelty of the present paper originates from proposing an innovative approximation for the nonlinear term of the Blasius problem by using a trigonometric expansion. Results reveal that the proposed integral solution coupled with the trigonometric approximation for the nonlinear term leads to a nearly accurate solution which is in agreement with the numerical results.

Keywords:

Blasius equation , Green's function , Trigonometric expansion , Integral solution