TD2K is right and I want to add something from Perry's. When fluid flows in a coil, a secondary circulation perpendicular to the main flow occurs and this is called Dean Effect. This increases the friction relative to straight pipe flow and stabilizes laminar flow.
The new transition Reynolds No. can be calculated by the equation
Re(trans) = 2100[1+12(D/Dc)1/2], where Dc is coil diameter and D is pipe diameter.
This formula is applicable in the range,
10<Dc/D<250.
Believe it or not : It is believed that Archimedis single handedly sailed the 4000 ton ship Syracusia from the dock when dock workers failed and quoted his famous saying.