Chapter 9, Problem 10P

For fluid flow in a pipe, the Colebrook-White (or Colebrook) equation gives a relationship between the friction coefficient, f, and the Reynolds number:

$\sqrt{\frac{1}{f}}=-0.86In\left(\frac{k/d}{3.7}+\frac{2.51}{\mathrm{Re}\sqrt{f}}\right)$

where k/d is the pipe relative roughness. Determine f if k/d =0.0004, and Re=2×10⁶.