BLASIUS EQUATION Solution with Finite Difference Method

antiochos
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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).
 
on Phys.org
thank you
 

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