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Table 4

Simulation results for the case of a stub diameter D₃ = 15 mm with various stub lengths (L₃) and an instantaneous valve closure of t_c = 0.0 s

f	Without connection stub H_WS-Bmax (m)	With connection stub				Err_C-B(ws) (%)
f	Without connection stub H_WS-Bmax (m)	L₃ (m)	H_Cmax (m)	t_Cmax (s)	Formula for t_Cmax	Err_C-B(ws) (%)
Col. (1)	Col. (2)	Col. (3)	Col. (4)	Col. (5)	Col. (6)	Col. (7)
Frictionless f₁ = f₂ = f₃ = 0	212.03	0.02	414.02	0.01002	t_c + L₂/a₂ + L₃/a₃	95.26
		0.05	414.02	0.01005	t_c + L₂/a₂ + L₃/a₃	95.26
		0.10	414.02	0.01010	t_c + L₂/a₂ + L₃/a₃	95.26
		0.20	414.02	0.01020	t_c + L₂/a₂ + L₃/a₃	95.26
		0.30	414.02	0.01030	t_c + L₂/a₂ + L₃/a₃	95.26
		0.40	414.02	0.01040	t_c + L₂/a₂ + L₃/a₃	95.26
		0.50	414.02	0.01050	t_c + L₂/a₂ + L₃/a₃	95.26
		0.60	414.02	0.01060	t_c + L₂/a₂ + L₃/a₃	95.26
		0.70	414.02	0.01070	t_c + L₂/a₂ + L₃/a₃	95.26
		0.80	414.02	0.01080	t_c + L₂/a₂ + L₃/a₃	95.26
		0.90	414.02	0.01190	t_c + L₂/a₂ + L₃/a₃	95.26
		1.00	414.02	0.01100	t_c + L₂/a₂ + L₃/a₃	95.26
With friction f₁ = 0.018 f₂ = 0.018 f₃ = 0.073	196.03	0.02	381.75	0.01006	t_c + L₂/a₂ + 3L₃/a₃	94.74
		0.05	381.75	0.01015	t_c + L₂/a₂ + 3L₃/a₃	94.74
		0.10	381.75	0.01030	t_c + L₂/a₂ + 3L₃/a₃	94.74
		0.20	381.67	0.01060	t_c + L₂/a₂ + 3L₃/a₃	94.70
		0.30	381.60	0.01090	t_c + L₂/a₂ + 3L₃/a₃	94.66
		0.40	381.50	0.01120	t_c + L₂/a₂ + 3L₃/a₃	94.61
		0.50	381.42	0.01150	t_c + L₂/a₂ + 3L₃/a₃	94.57
		0.60	381.34	0.01180	t_c + L₂/a₂ + 3L₃/a₃	94.53
		0.70	381.26	0.01210	t_c + L₂/a₂ + 3L₃/a₃	94.49
		0.80	381.18	0.01240	t_c + L₂/a₂ + 3L₃/a₃	94.45
		0.90	381.10	0.01270	t_c + L₂/a₂ + 3L₃/a₃	94.41
		1.00	381.02	0.01300	t_c + L₂/a₂ + 3L₃/a₃	94.37

f	Without connection stub H_WS-Bmax (m)	With connection stub				Err_C-B(ws) (%)
f	Without connection stub H_WS-Bmax (m)	L₃ (m)	H_Cmax (m)	t_Cmax (s)	Formula for t_Cmax	Err_C-B(ws) (%)
Col. (1)	Col. (2)	Col. (3)	Col. (4)	Col. (5)	Col. (6)	Col. (7)
Frictionless f₁ = f₂ = f₃ = 0	212.03	0.02	414.02	0.01002	t_c + L₂/a₂ + L₃/a₃	95.26
		0.05	414.02	0.01005	t_c + L₂/a₂ + L₃/a₃	95.26
		0.10	414.02	0.01010	t_c + L₂/a₂ + L₃/a₃	95.26
		0.20	414.02	0.01020	t_c + L₂/a₂ + L₃/a₃	95.26
		0.30	414.02	0.01030	t_c + L₂/a₂ + L₃/a₃	95.26
		0.40	414.02	0.01040	t_c + L₂/a₂ + L₃/a₃	95.26
		0.50	414.02	0.01050	t_c + L₂/a₂ + L₃/a₃	95.26
		0.60	414.02	0.01060	t_c + L₂/a₂ + L₃/a₃	95.26
		0.70	414.02	0.01070	t_c + L₂/a₂ + L₃/a₃	95.26
		0.80	414.02	0.01080	t_c + L₂/a₂ + L₃/a₃	95.26
		0.90	414.02	0.01190	t_c + L₂/a₂ + L₃/a₃	95.26
		1.00	414.02	0.01100	t_c + L₂/a₂ + L₃/a₃	95.26
With friction f₁ = 0.018 f₂ = 0.018 f₃ = 0.073	196.03	0.02	381.75	0.01006	t_c + L₂/a₂ + 3L₃/a₃	94.74
		0.05	381.75	0.01015	t_c + L₂/a₂ + 3L₃/a₃	94.74
		0.10	381.75	0.01030	t_c + L₂/a₂ + 3L₃/a₃	94.74
		0.20	381.67	0.01060	t_c + L₂/a₂ + 3L₃/a₃	94.70
		0.30	381.60	0.01090	t_c + L₂/a₂ + 3L₃/a₃	94.66
		0.40	381.50	0.01120	t_c + L₂/a₂ + 3L₃/a₃	94.61
		0.50	381.42	0.01150	t_c + L₂/a₂ + 3L₃/a₃	94.57
		0.60	381.34	0.01180	t_c + L₂/a₂ + 3L₃/a₃	94.53
		0.70	381.26	0.01210	t_c + L₂/a₂ + 3L₃/a₃	94.49
		0.80	381.18	0.01240	t_c + L₂/a₂ + 3L₃/a₃	94.45
		0.90	381.10	0.01270	t_c + L₂/a₂ + 3L₃/a₃	94.41
		1.00	381.02	0.01300	t_c + L₂/a₂ + 3L₃/a₃	94.37

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