Problem. No$.3$: The velocity distribution in the boundary layer is given by:

$\frac{u}{U}=(\frac{y}{}{)}^{\frac{5}{2}},$ belng boundary layer thickness. Calculate the following:

$($i$)$ Displacement thickness

$($ii$)$ Momentum thickness

$($iii$)$ Energy Thickness

$($iv$)$ Ratio of displacement to momentum thickness