Analytical solution of blasius equation using laplace transform method with adomian polynomials: application on boundary layer fluid flow past a flat plate

Blasius equation can be solved using analytical and numerical methods. However, it is known that numerical methods give an approximate solution. Therefore, this research uses an analytical approach to solve the Blasius equation, the governing equation of the boundary layer problem. This paper aims to solve the Blasius equation and its application on the boundary layer flow over a flat plate using Laplace Transform Method (LTM) with Adomian Polynomials, which helps to deal with the nonlinear terms. The governing partial differential equation is transformed into an ordinary differential equation. Then, the solutions are obtained using MAPLE software. The previous studies validate the results obtained. Next, the velocity profile of the boundary layer is determined. The velocity profile of the boundary layer showed that as the distance across the plate increase, the value of the velocity increases until it reaches 1.0 at the plate end.