A liquid has a density of 700 kg/m³ and a kinematic viscosity of 4.27 x 10-7 m2/s. Determine the lowest pipe diameter necessary to convey this liquid at 220 L/s over a distance of 1.8 kilometers. Consider the piping's surface roughness to be 0.033 mm, and the head loss due to pipe friction should not exceed 12 meters.

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Pressurized pipe flow

A 15-kilometer-long pipe with a pipe diameter of one meter transports water at a speed of one meter per second. The pipe has a friction coefficient of 0.005. Calculate the frictional head loss?