Hydraulics & Fluid Mechanics
For laminar flow in a pipe of circular cross-section, the Darcy’s friction factor f is

inversely proportional to Reynolds number and indpendent of pipe wall roughness
inversely proportional to Reynolds number and directly proportional to pipe wall roughness
directly proportional to Reynolds number and independent of pipe wall roughness
directly proportional to pipe wall roughness and independent of Reynolds number

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Hydraulics & Fluid Mechanics
According to Bernoulli’s equation for steady ideal fluid flow

total energy is constant throughout
the energy is constant along a stream-line but may vary across streamlines
velocity and pressure are inversely proportional
principle of conservation of mass holds

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