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

Table 3

The first iteration of MNM ([34]) for the water problem (Figure 2).

Pipes	Loops	Diameter (m)	Length (m)		Sign (q)	, equation (1)	MNM,
1		0.457	120	0.125	1	3.48	0.0879253	−0.0370747
9	I	0.406	160	0.05	1	1.34	0.0315287	−0.0184713
13		0.355	120	−0.025	−1	−0.49	0.115121	0.090121
7		0.304	120	−0.175	−1	−52.34	0.212075	0.037075
8		0.304	280	0.175	1	122.12	0.137925	−0.037075
	Loop					74.11		0.034575
2		0.457	150	0.075	1	1.57	0.0563965	−0.0186035
10	II	0.406	160	0.04	1	0.86	0.0225996	−0.0174004
11		0.406	150	−0.015	−1	−0.11	0.08665	0.07165
9		0.406	160	−0.05	−1	−1.34	0.0315287	−0.0184713
	Loop					0.97		0.0171748
3		0.457	150	0.035	1	0.34	0.0337969	−0.0012031
4	III	0.406	160	−0.025	−1	−0.34	0.0262031	0.0012031
12		0.406	150	0.015	1	0.11	−0.0392496	−0.0542496
10		0.406	160	−0.04	−1	−0.86	0.0225996	−0.0174004
	Loop					−0.74		−0.07165
5		0.457	120	−0.09	−1	−1.80	0.0369535	−0.0530465
6	IV	0.609	300	−0.15	−1	−2.98	0.0969535	−0.0530465
13		0.355	120	0.025	1	0.49	0.115121	−0.0134879
11		0.406	150	0.015	1	0.11	0.08665	0.07165
12		0.406	150	−0.015	−1	−0.11	−0.0392496	−0.0542496
						−4.29		−0.1021805

All bold values are based on multidimension.