Consider the simple pumping system shown in Figure P11.4. Assume the following parameters to be known:

Develop a numerical solution to find the required diameter. Use an equivalent length to represent the minor losses. Determine the diameter for the following data:

(a) z₂ ? z₁ = 120 ft, L = 1500 ft, e = 0.003 ft, ?K = 2.5, water at 50?F, Q = 15,000 gal/min, pump characteristic curve:

(b) z₂ ? z₁ = 40 m, L = 500 m, e = 1 mm, ?K = 2.5, water at 20?C, Q = 1.1 m³/s, pump characteristic curve:

Figure P11.4

Reservoir elevations, 2, 2 Pipe length, L Pipe roughness, e Sum of minor loss coefficients, > K Kinematic viscosity, V Discharge, Q H, (ft) Q (gal/min) 490 486 473 0 4000 453 423 406 8000 12,000 16,000 18,000 H (m) Q (L/s) 160 0 158 400 154 800 148 1200 138 1600 1 P 2