Water (specific gravity, G, is 1.0 and the kinematic viscosity, ν, is 1.14 *10-6 m2 /s) flows through a piping system with a flow rate of 0.9 m3/s. The pipe is 2800 m long and 600 mm inside diameter. The pipe has three gate valves, two globe valves, one swing check valve, three standard tees through-branch, and four 90o standard elbows. Calculate the following: c- The Darcy friction factor if the pipe is fully rough and has an absolute internal roughness, e, of 0.01 mm. d- The frictional head loss in units of (m) using the Darcy equation.

Water (specific gravity, G, is 1.0 and the kinematic viscosity, ν, is 1.14 *10-6 m² /s) flows through a piping system with a flow rate of 0.9 m³/s. The pipe is 2800 m long and 600 mm inside diameter. The pipe has three gate valves, two globe valves, one swing check valve, three standard tees
through-branch, and four 90^o standard elbows. Calculate the following:

c- The Darcy friction factor if the pipe is fully rough and has an absolute internal roughness, e, of 0.01 mm.
d- The frictional head loss in units of (m) using the Darcy equation.