Question # $2$

$($Competencies a$1,$ a$2,$ b$1,$ b$2,$ c$3)$

$(20$ Marks$)$

$(2-$a$)$ Consider the laminar flow of an incompressible fluid past a flat plate at $y$

$=0.$ The boundary layer velocity profile is approximated as

$\frac{u}{U_{}}=\frac{y}{}$ for $0y$ and $u=U$ for $y>$

Determine

i$.$ Boundary layer displacement thickness and boundary layer momentum

thickness.

ii$.$ The boundary layer thickness and the shear stress as function of $x$ by

using the momentum integral equation

iii. local friction drag coefficient

iv$.$ average friction drag coefficient