I have been doing a simulation of Blasius equation: F'''+FF''/2=0 with F(eta) where eta is a similarity variable eta=(y-1)/(x^(1/2)) F'(0)=1 u(y=1,x<<1)=1 F(0)=0 v(y=1,x<<1)=0 F'(infinite)=0 u(y=infinite, x<<1)=0 You can observe that the BC's are different of the flow over flat plate. This is obtained for a mixing thickness in the near field of a two-dimensional jet, near the orifice of exhaust (are you agree?). in this page: http://www.rit.edu/~pnveme/Matlab_Course/Matlab_App_ODE.html where shooting method is employed in Matlab, it is said numerical methods (Runge Kutta, or the internal Matlab function ODE45) have normalized value F'(infinity)=1. I have programmed it in Matlab but now I don't know how consider the value 0 at infinity instead of 1. Could you help me?. Thanks.
particular solution Hi, Clausius2; It seems to me, I was wrong in my private message to you about the almightiness of SMM. The only solution that classic SMM can give us is: F(eta)=6/(eta+C), where C is an arbitrary constant. See you in your old thread, Max.
I have used the superposition principle: F(0)=0 F(0)=0 F(0)=0 F'(0)=1 F'(0)=1 F'(0)=0 F'(inf)=0 F'(inf)=2 F'(inf)=2 = - Hey, it seems it works!, and I did't need your help. But now, guys, you have to tell me if superposition principle is valid for this equation. Is it linear?. Hands up if you are agree!
hello...... I am in a real bind here. i tried runnning numerous scripts but they dont work... the programme should include runge kutta ps: Need help pronto!!!! i would truely appreciate it