The streamwise velocity component of a steady, incompressible, flat plate boundary

layer of boundary layer thickness $$ is approximated by the simple linear expression,

$u=U(\frac{y}{})$ for and $u=U$ for $y>.$ Generate expressions for displacement

thickness and momentum thickness as functions of $$ and compare them with the

displacement and momentum thicknesses for turbulent boundary layer where $u=$

$U(\frac{y}{}{)}^{\frac{1}{7}}.$