Blasius numerical solution?

by Clausius2
Tags: blasius, numerical, solution
Clausius2 is offline
Apr18-04, 05:39 PM
Sci Advisor
PF Gold
Clausius2's Avatar
P: 1,481
I have been doing a simulation of Blasius equation:

F'''+FF''/2=0 with F(eta) where eta is a similarity variable

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:
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?.
Phys.Org News Partner Science news on
Review: With Galaxy S5, Samsung proves less can be more
Making graphene in your kitchen
Study casts doubt on climate benefit of biofuels from corn residue
Max0526 is offline
Apr19-04, 09:33 AM
P: 41
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:
where C is an arbitrary constant.
See you in your old thread,
Clausius2 is offline
Apr19-04, 03:55 PM
Sci Advisor
PF Gold
Clausius2's Avatar
P: 1,481
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!

stichini2000 is offline
Dec6-11, 08:19 PM
P: 1

Blasius numerical solution?

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

Register to reply

Related Discussions
BLASIUS EQUATION Solution with Finite Difference Method Engineering, Comp Sci, & Technology Homework 1
Numerical Solution to 2nd Order Eqn? Differential Equations 6
Numerical solution to coupled diff. eq. Differential Equations 4
Numerical Solution to ODE System - IVP or BVP? Differential Equations 6
Numerical solution of 2nd order ODE Calculus & Beyond Homework 3