лу

V. (20%) The velocity profile inside a boundary layer is u(y) = us sin

2y₁

, if 0

if y>y₁.

a) Find the displacement thickness as a function of y₁.

b) Find the momentum thickness as a function of y₁.

c) Find y, as a function of x if density, viscosity and external velocity are given.

d) Ploty, as a function of x for an external velocity of 5 m/s, density 1.225 Kg/m³, and viscosity

0.000016 Kg/(m s)