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Topic:
Third order nonlinear boundary value problem
Replies:
7
Last Post:
Apr 2, 2014 12:34 PM



Rachel
Posts:
6
Registered:
3/27/14


Re: Third order nonlinear boundary value problem
Posted:
Mar 28, 2014 8:23 AM


Hey Torsten,
Thanks so much for that but I'm really confused I am trying to solve numerically for the velocity profiles of the fluid from the boundary layer equations,
udu/dx+vdu/dy=Udu/dx+nud^2u/dy^2
du/dx+dv/dy=0
(These derivatives are partial apart from the 3rd term in the first equation).
The boundary conditions are du/dy=0(partial) when y=0 and u=0 when y=+infinity.
I introduced the stream function u=d(stream)/dy and v=d(stream)/dx (both partials)
where stream function is a similarity solution, stream=x^pf(y/x^q) where eta=f(y/x^q).
Putting the boundary layer equations in terms of the stream function and having found p=1/3 and q=2/3 the equations reduce to f'''+1/3ff''+1/3f'^2 now i thought the boundary conditions changed to f(0)=f''(0)=0 and f'(infinity)=0.
Is there any sense in trying the code with the first set of boundary conditions or would there be a way of solving the PDE's maybe?? I'm clueless with all this.
I solved the ODE analytically using the first set of boundary conditions.
I don't know if this will make much sense to you but it would be great if you could let me know!! Your very good thanks.
Rachel



