Table 5

Simulation results for the case of a stub diameter of D3 = 15 mm for various stub lengths (L3) and a valve closure time of tc = 0.003 s

fWithout stub HWS-Bmax (m)With stub
ErrC-B(ws) (%)
L3 (m)HCmax (m)tCmax (s)Formula for tCmax
Col. (1)Col. (2)Col. (3)Col. (4)Col. (5)Col. (6)Col. (7)
Frictionless
f1 = f2 = f3 = 0
212.03 0.02 225.64 0.01302 tc + L2/a2 + L3/a3 6.42
0.05 245.73 0.01305 tc + L2/a2 + L3/a3 15.89
0.10 278.14 0.01310 tc + L2/a2 + L3/a3 31.18
0.20 330.01 0.01320 tc + L2/a2 + L3/a3 55.64
0.30 362.21 0.01330 tc + L2/a2 + L3/a3 70.83
0.40 379.93 0.01340 tc + L2/a2 + L3/a3 79.19
0.50 391.51 0.01350 tc + L2/a2 + L3/a3 84.65
0.60 397.47 0.01360 tc + L2/a2 + L3/a3 87.46
0.70 401.41 0.01370 tc + L2/a2 + L3/a3 89.32
0.80 404.60 0.01380 tc + L2/a2 + L3/a3 90.82
0.90 407.28 0.01390 tc + L2/a2 + L3/a3 92.09
1.00 409.23 0.01400 tc + L2/a2 + L3/a3 93.01
With friction
f1 = 0.018
f2 = 0.018
f3 = 0.073
196.03 0.02 208.81 0.01302 tc + L2/a2 + L3/a3 6.52
0.05 228.07 0.01305 tc + L2/a2 + L3/a3 16.34
0.10 258.97 0.01310 tc + L2/a2 + L3/a3 32.11
0.20 307.44 0.01320 tc + L2/a2 + L3/a3 56.83
0.30 336.52 0.01330 tc + L2/a2 + L3/a3 71.67
0.40 352.16 0.01340 tc + L2/a2 + L3/a3 79.65
0.50 362.18 0.01350 tc + L2/a2 + L3/a3 84.76
0.60 367.28 0.01360 tc + L2/a2 + L3/a3 87.36
0.70 370.60 0.01370 tc + L2/a2 + L3/a3 89.05
0.80 373.26 0.01380 tc + L2/a2 + L3/a3 90.41
0.90 375.45 0.01390 tc + L2/a2 + L3/a3 91.53
1.00 377.04 0.01400 tc + L2/a2 + L3/a3 92.34
fWithout stub HWS-Bmax (m)With stub
ErrC-B(ws) (%)
L3 (m)HCmax (m)tCmax (s)Formula for tCmax
Col. (1)Col. (2)Col. (3)Col. (4)Col. (5)Col. (6)Col. (7)
Frictionless
f1 = f2 = f3 = 0
212.03 0.02 225.64 0.01302 tc + L2/a2 + L3/a3 6.42
0.05 245.73 0.01305 tc + L2/a2 + L3/a3 15.89
0.10 278.14 0.01310 tc + L2/a2 + L3/a3 31.18
0.20 330.01 0.01320 tc + L2/a2 + L3/a3 55.64
0.30 362.21 0.01330 tc + L2/a2 + L3/a3 70.83
0.40 379.93 0.01340 tc + L2/a2 + L3/a3 79.19
0.50 391.51 0.01350 tc + L2/a2 + L3/a3 84.65
0.60 397.47 0.01360 tc + L2/a2 + L3/a3 87.46
0.70 401.41 0.01370 tc + L2/a2 + L3/a3 89.32
0.80 404.60 0.01380 tc + L2/a2 + L3/a3 90.82
0.90 407.28 0.01390 tc + L2/a2 + L3/a3 92.09
1.00 409.23 0.01400 tc + L2/a2 + L3/a3 93.01
With friction
f1 = 0.018
f2 = 0.018
f3 = 0.073
196.03 0.02 208.81 0.01302 tc + L2/a2 + L3/a3 6.52
0.05 228.07 0.01305 tc + L2/a2 + L3/a3 16.34
0.10 258.97 0.01310 tc + L2/a2 + L3/a3 32.11
0.20 307.44 0.01320 tc + L2/a2 + L3/a3 56.83
0.30 336.52 0.01330 tc + L2/a2 + L3/a3 71.67
0.40 352.16 0.01340 tc + L2/a2 + L3/a3 79.65
0.50 362.18 0.01350 tc + L2/a2 + L3/a3 84.76
0.60 367.28 0.01360 tc + L2/a2 + L3/a3 87.36
0.70 370.60 0.01370 tc + L2/a2 + L3/a3 89.05
0.80 373.26 0.01380 tc + L2/a2 + L3/a3 90.41
0.90 375.45 0.01390 tc + L2/a2 + L3/a3 91.53
1.00 377.04 0.01400 tc + L2/a2 + L3/a3 92.34
Close Modal