Question $01(35$ Marks$)$

Starting from the $2$ D Navier$-$Stokes equations and eliminating less significant terms, show

that the equation governing the boundary layer on a flat plate for incompressible viscous

flow is given by$,$

u$($delu$)/($delx$)+$v$($delu$)/($dely$)=-(1)/(\backslash$rho $)($dp$)/($dx$)+$v$($del$^(2)$u$)/($dely$^(2))$

Describe boundary layer separation by considering the effect of pressure gradients.

Illustrate your explanation with an appropriate diagram.

The length of the flat plate is xm and width is $0\mathrm{.}8$ m $.$ Air at a uniform velocity of y$($m$)/($s$)$

flows over this plate. By assuming the boundary layer is turbulent from the leading edge

and using appropriate formula,

a