1. A 2D incompressible flow for a laminar boundary layer is approximated as
$$u = U \left( 2\frac{y}{\delta} - 2\frac{y^3}{\delta^3} + \frac{y^4}{\delta^4} \right), y < \delta, x > 0, y > 0, \text{ and } \delta = C\sqrt{x}.$$
Assuming that the $u = v = 0$ at the wall ($y = 0$),
(a) find an expression for $v(x, y)$ when $x = 1, U = 3, \text{ and } \delta = 0.01$.
(b) plot $u(x, y)$ and $v(x, y)$.
