Boundary Layer displacement thickness

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VooDoo
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Hey guys,


The streamlines just outside a boundary layer are pushed away from the wall by the displacement thickness [tex]\delta[/tex]* and I understand that;

[tex]\delta[/tex]*=[tex]\int^{\infty}_{0}[/tex](1-[tex]\frac{u}{U}[/tex])dy

Now this is for flow over a plate with length x=4m. At x=0 is the leading edge and at x=4 [tex]\delta[/tex] = [tex]\delta^{b}[/tex]

Now been told to find the equation of the streamline i.e. y=y(x) that touches the boundary layer at x=4 (and y = [tex]\delta^{b}[/tex] I guess).

I know I have to calculate the boundary layer displacement thickness...but I am unsure of how to do that and what I should do after that.
 
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delta = delta ^ b is a mathematical inequality? Therefore if you rewrite the problem literally from your homework a bit more clearly I might be able to help you with this one.