If velocity distribution, u in laminar boundary layer over a flat plate is assumed to be given by second order polynomial u = a +by+cy2 , where y is the perpendicular distance measured from the surface of the flat plate, and a, b and c are constants. Determine the $\frac{\upsilon}{U}=f(\frac{y}{\delta})$ expression of velocity distribution in dimensionless form as Where U is main stream velocity at boundary layer thickness $\delta$. Further also find boundary layer thickness in terms of Reynolds number