A nuclear submarine is crusing $200$m deep in sea water at $12$m$/$s$.$ The density and viscosity of water are $1024$kg$/$m$^3$ and $0\mathrm{.}00107$kg$/$ms respectively. Consider the hull of the submarine as a cylinder $170$m long and $12\mathrm{.}5$m in diameter.

a$)$ What is the maximum thickness of the boundary layer around the submarine hull.

b$)$ What is the power dissipated by friction on the cylindrical part of the submarine hull?

c$)$ under what circumstances could flow separation occur on the skin of the submarine hull?