Abstract
Falkner-Skan equation is a third order non-linear boundary value problem which describes the laminar boundary layer flow developing on a plate. The strong non-linear characteristics of the problem, sensitivity of the equation to the initial conditions and the semi-infinite domain of the problem have attracted many researchers.In this paper, the method of weighted residuals is used to solve Falkner-Skan equations. The residuals are minimized by the least squares approach. The procedure is very simple and suitable for solving boundary layer problems. The main aim of this paper is to demonstrate the success of the proposed method. We observe that even the simplest approach with only one unknown provide quite accurate results for the velocity profile in the boundary layer. Additionally, better results with any desired accuracy can be obtained by increasing the number of unknown coefficient. Moreover, this method provides analytical solutions which are valid for whole domain.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
