Using the Newton method and appropriate computer software, analyze the pipe network in Figure P4.4.13 if Ha = 190 ft, He = 160 ft, HG = 200 ft, QB = 6.0 cfs, QC = 6.0 cfs, QD = 6 cfs, and Qf = 12.0 cfs. Suppose the K = 1.0 sec2/ft5 for pipes 1, 7, and 8 and 3.0 sec2/ft5 for the other pipes. Use initial estimates of Q1 = 10 cfs, Q2 = 1.0 cfs, Q3 = 2.0 cfs, Q4 = 1.0 cfs, Q5 = 10 cfs, Qg = 4.0 cfs, Q7 = 10.0 cfs, and Q8 = 10.0 cfs.
Figure
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