BLASIUS EQUATION Solutıon with Finite Difference Method

[antiochos]

1) Using a similarity variable, the boundary layer equations for a two-dimensional, incompressible flow over a flat plate can be written below:

2f'''+ff''=0


The boundary conditions are:

a) f ' (0) = 0, no slip at the wall
b) f(0)=0, solid wall
c) f ' (n) goes 1 as n goes infinity boundary layer solution merges into the inviscid solution.

I) using finite difference method, obtain a numerical solution of this equation. Plot f ' and f as a function n.
II) The shear stress on the wall requires f " (0) to be determined. From the numerical solution compute f " (0).



I ve uploaded the original doc file.


Can you help me with this?

 

[HallsofIvy]

You have stated what is clearly a homework problem but shown no work at all. I'm moving this to the "Calculus and Beyond" homework section but you will have to show what you have done yourself.

 

[antiochos]

ok my path:

f'=y
y'=f''

the replaced y s with f s.

Then i wrote the finite difference equation.

Then i took the integral of y' with trapezoid rule..

i could not go any further