Calculation of gravity-driven pipelines
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The material in the pre-dissolution tank flows by gravity from a higher level to the mixing pot; the height difference is 5 meters, the pipe length is 8 meters (with an absolute roughness of ε=0.1 for the pipes), there are 4 90° elbows and 2 ball valves. The viscosity of the material is 0.001 Pa·s, and its density is 1000 kg/m3. I selected 4 different pipe diameters: 65 mm, 80 mm, 100 mm, and 125 mm, and used the trial-and-error method to calculate the corresponding flow velocities and flow rates. I wonder if the calculation results are in line with reality.
Is the equivalent length for elbows and ball valves both calculated based on 30 times the inner diameter? How is the sum of the inlet and outlet resistance coefficients of 1.5 determined?