Air is flowing over a smooth plate with a velocity of $8\frac{m}{s}.$ The

length of the plate is $1\mathrm{.}5m$ and width is $1m.$ Critical Reynolds

number is $5{10}^5.$ Find the maximum distance from the leading

edge up to which laminar boundary layer exists and find the

boundary layer thickness at that point. Also, determine the distance

from leading edge of the plate at which laminar boundary layer

thickness is $5mm$ and find the total drag force up to that point on

one side of the plate. Kinematic viscosity of air is $0\mathrm{.}15$ stokes and

density of air is $1\mathrm{.}24k\frac{g}{m^3}.$ Polynomial velocity profile shall be

considered for the laminar boundary layer