Numerical and Theoretical Investigation to Estimate Darcy Friction Factor in Water Network Problem Based on Modified Chun-Hui He’s Algorithm and Applications

Table 4

The first iteration of method HCM for the water problem (Figure 2).

Loops	Pipes	Diameter (m)	Length (m)		Sign (q)	(equation (1))	(equation (2))	Correction	New
I	1	0.457	120	0.125	1	3.48	55.65		0.09040843
	9	0.406	160	0.05	1	1.34	53.63	−0.006320742	0.021729173
	13	0.355	120	−0.025	−1	−0.49	39.35	0.028735632	−0.088327201
	7	0.304	120	−0.175	−1	−52.34	598.13		−0.20959157
	8	0.304	280	0.175	1	122.12	1395.65		0.14040843
Loop						74.11	2142.40
							−0.03459157
	2	0.457	150	0.075	1	1.57	41.73		0.068679258
II	10	0.406	160	0.04	1	0.86	42.90	0.007089585	0.026589673
	11	0.406	150	−0.015	−1	−0.11	15.08	0.028735632	−0.050056374
	9	0.406	160	−0.05	−1	−1.34	53.63	−0.03459157	−0.021729173
Loop						0.97	153.35
							−0.006320742
	3	0.457	150	0.035	1	0.34	19.48		0.042089585
III	4	0.406	160	−0.025	−1	−0.34	26.81		−0.017910415
	12	0.406	150	0.015	1	0.11	15.08	0.028735632	−0.006646047
	10	0.406	160	−0.04	−1	−0.86	42.90	−0.006320742	−0.026589673
Loop						−0.74	104.27
							0.007089585
	5	0.457	120	−0.09	−1	−1.80	40.06		−0.061264368
IV	6	0.609	300	−0.15	−1	−2.98	39.72		−0.121264368
	13	0.355	120	0.025	1	0.49	39.35	−0.03459157	0.088327201
	11	0.406	150	0.015	1	0.11	15.08	−0.006320742	0.050056374
	12	0.406	150	−0.015	−1	−0.11	15.08	0.007089585	0.006646047
						−4.29	149.30
							0.028735632

All bold values are based on multidimension.