BLASIUS EQUATION Solutıon with Finite Difference Method

1. Nov 18, 2007

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???

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Last edited: Nov 18, 2007
2. Nov 19, 2007

HallsofIvy

Staff Emeritus
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.

3. Nov 19, 2007

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