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APPENDICE B

RISULTATI CFD E FILE MATLAB

Di seguito sono riportati i risultati ricavati da tutte le simulazioni CFD effettuate con il programma STAR-CD

®

. I risultati sono raccolti in forma matriciale dove ogni matrice rappresenta le simulazioni implementate con determinate condizioni al contorno.

--- --- Q_1 --> matrice [16*10] relativa al modello 1 (Pa=Pb=98bar)

Qm [Kg/s] Qa [Kg/s] Qb [Kg/s] Qsc1 [Kg/s]

-3.9723e-002 6.1811e-004 -6.1811e-004 1.9243e-002 -4.0816e-002 3.9056e-003 -2.7120e-003 1.8631e-002 -4.1131e-002 7.5082e-003 -5.7462e-003 1.6633e-002 -4.2274e-002 9.7273e-003 -8.6275e-003 1.6234e-002 -4.6257e-002 1.2452e-002 -1.1602e-002 1.7134e-002 -4.7033e-002 1.4801e-002 -1.4650e-002 1.6080e-002 -5.1250e-002 1.8800e-002 -1.8144e-002 1.5970e-002 -5.8421e-002 2.6772e-002 -2.6193e-002 1.5473e-002 -7.4992e-002 4.6070e-002 -4.5114e-002 1.4588e-002 -9.2642e-002 6.5625e-002 -6.5653e-002 1.3478e-002 -1.2535e-001 9.9800e-002 -9.8444e-002 1.2581e-002 -1.5834e-001 1.3777e-001 -1.3536e-001 1.0347e-002 -2.7702e-001 2.6599e-001 -2.6915e-001 5.8748e-003 -5.1613e-001 5.0984e-001 -4.8614e-001 3.5647e-003 -7.9233e-001 7.8733e-001 -7.5284e-001 1.9993e-003 -1.0671e+000 1.0636e+000 -1.0549e+000 1.4819e-003

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Qsc2[Kg/s] Tot_cum Xv [mm] Pa [bar]

1.9243e-002 1.2645e-007 0 9.8000e+006 2.0994e-002 2.2719e-006 1.0000e-003 9.8000e+006 2.2745e-002 9.3295e-006 2.0000e-003 9.8000e+006 2.4944e-002 5.0656e-006 3.0000e-003 9.8000e+006 2.8324e-002 5.0829e-005 4.0000e-003 9.8000e+006 3.0498e-002 -3.0314e-004 5.0000e-003 9.8000e+006 3.4850e-002 2.2536e-004 7.0000e-003 9.8000e+006 4.1550e-002 -8.1812e-004 1.0000e-002 9.8000e+006 5.7716e-002 -1.7314e-003 1.7000e-002 9.8000e+006 7.9532e-002 -3.3975e-004 2.5000e-002 9.8000e+006 1.1189e-001 4.8152e-004 3.7000e-002 9.8000e+006 1.4535e-001 -2.2897e-003 5.0000e-002 9.8000e+006 2.7576e-001 -1.4488e-003 1.0000e-001 9.8000e+006 4.9027e-001 1.4049e-003 2.0000e-001 9.8000e+006 7.5490e-001 -9.3767e-004 3.5000e-001 9.8000e+006 1.0569e+000 7.4007e-005 5.0000e-001 9.8000e+006

Pb [bar] Fass [N]

9.8000e+006 0

9.8000e+006 3.8518e-001 9.8000e+006 7.5803e-001 9.8000e+006 1.2318e+000 9.8000e+006 1.6557e+000 9.8000e+006 2.8422e+000 9.8000e+006 3.5702e+000 9.8000e+006 4.4650e+000 9.8000e+006 5.6914e+000 9.8000e+006 8.2572e+000 9.8000e+006 1.1186e+001 9.8000e+006 1.3604e+001 9.8000e+006 1.7854e+001 9.8000e+006 2.9910e+001 9.8000e+006 1.8552e+001 9.8000e+006 1.2099e+001

--- ---

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Q_1nc --> matrice [1*10] relativa al modello 1 (Pa=Pb=98bar) di servovalvola senza compensazione delle forze di flusso

Qm [Kg/s] Qa [Kg/s] Qb [Kg/s] Qsc1 [Kg/s]

-1.0800e+000 1.0766e+000 -1.0329e+000 1.3703e-003

Qsc2 [Kg/s] Tot_cum Xv [mm] Pa [bar]

1.0372e+000 2.2898e-003 5.0000e-001 9.8000e+006

Pb [bar] Fass [N]

9.8000e+006 1.0084e+002

--- ---

Q_2 --> matrice [16*10] relativa al modello 2 (boundary condition "WALL")

Qm [Kg/s] Qa [Kg/s] Qb [Kg/s] Qsc1 [Kg/s]

-4.2718e-002 0 0 2.1250e-002 -4.3271e-002 0 0 2.1922e-002 -4.2500e-002 0 0 2.1304e-002 -3.9226e-002 0 0 1.9705e-002 -4.1901e-002 0 0 2.1298e-002 -4.1219e-002 0 0 2.0669e-002 -4.0222e-002 0 0 1.9981e-002 -4.3142e-002 0 0 2.1524e-002 -4.1345e-002 0 0 2.0506e-002 -4.3742e-002 0 0 2.1643e-002 -4.0466e-002 0 0 1.9908e-002 -3.7790e-002 0 0 1.9070e-002 -2.3916e-002 0 0 1.1994e-002 -1.5009e-002 0 0 7.4968e-003 -8.8116e-003 0 0 4.3841e-003

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Qsc2 [Kg/s] Tot_cum Xv [mm] Pa [bar]

-2.1250e-002 -1.0926e-004 0 1.0103e+007 2.1288e-002 -6.0616e-005 1.0000e-003 1.1262e+007 2.1209e-002 1.1919e-005 2.0000e-003 1.2870e+007 1.9520e-002 -1.1222e-006 3.0000e-003 1.3701e+007 2.0634e-002 3.1103e-005 4.0000e-003 1.4270e+007 2.0557e-002 6.3040e-006 5.0000e-003 1.4957e+007 2.0241e-002 -2.1377e-007 7.0000e-003 1.5646e+007 2.1638e-002 1.9953e-005 1.0000e-002 1.6864e+007 2.1157e-002 3.1806e-004 1.7000e-002 1.8076e+007 2.2093e-002 -5.7951e-006 2.5000e-002 1.8730e+007 2.0557e-002 -4.5792e-008 3.7000e-002 1.9100e+007 1.8723e-002 2.9602e-006 5.0000e-002 1.9309e+007 1.1924e-002 1.7385e-006 1.0000e-001 1.9472e+007 7.5120e-003 9.2150e-008 2.0000e-001 1.9496e+007 4.4275e-003 3.7520e-008 3.5000e-001 1.9499e+007 3.2232e-003 2.2856e-005 5.0000e-001 1.9500e+007

Pb [bar] Fass [N]

1.0103e+007 0

8.7961e+006 2.0817e-001 7.3893e+006 3.0097e-001 6.3868e+006 2.6839e-001 5.4420e+006 8.9148e-001 4.7062e+006 5.7321e-001 4.1131e+006 4.4935e-001 2.8561e+006 6.0681e-001 1.5706e+006 4.7768e-002 8.7495e+005 5.0970e-002 5.2067e+005 -5.2262e-001 2.7791e+005 -4.6271e-001 1.2479e+005 -3.1672e-001 1.0449e+005 -2.3396e-001 1.0099e+005 -9.0895e-002 1.0044e+005 1.0491e+000

--- ---

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Q_3 --> matrice [16*10] relativa al modello 3 (Pa=160bar – Pb=36bar)

Qm [Kg/s] Qa [Kg/s] Qb [Kg/s] Qsc1 [Kg/s]

-3.7129e-002 -1.4197e-002 1.5604e-002 2.5060e-002 -3.6839e-002 -1.2051e-002 1.2552e-002 2.4613e-002 -3.6252e-002 -8.6432e-003 9.9881e-003 2.2197e-002 -3.6467e-002 -6.9603e-003 7.6863e-003 2.1640e-002 -3.9157e-002 -5.7292e-003 5.7288e-003 2.2726e-002 -3.9344e-002 -3.5672e-003 3.6693e-003 2.1444e-002 -4.2059e-002 -1.0417e-003 1.4729e-003 2.1361e-002 -4.3475e-002 3.5302e-003 -2.1633e-003 1.9834e-002 -5.2924e-002 1.4589e-002 -1.4236e-002 1.9010e-002 -6.5056e-002 2.7359e-002 -2.7300e-002 1.8670e-002 -8.4109e-002 4.8003e-002 -4.7160e-002 1.7678e-002 -1.0453e-001 7.1346e-002 -6.8917e-002 1.6657e-002 -1.7006e-001 1.5182e-001 -1.5253e-001 9.0561e-003 -3.1335e-001 3.0269e-001 -2.9187e-001 5.7447e-003 -4.7922e-001 4.7185e-001 -4.5782e-001 3.3558e-003 -6.4058e-001 6.3520e-001 -6.2402e-001 2.5487e-003

Qsc2 [Kg/s] Tot_cum Xv [mm] Pa [bar]

1.0662e-002 -2.6193e-007 0 1.6000e+007 1.1724e-002 -8.7432e-007 1.0000e-003 1.6000e+007 1.2722e-002 1.2400e-005 2.0000e-003 1.6000e+007 1.4084e-002 -1.6572e-005 3.0000e-003 1.6000e+007 1.6453e-002 2.2017e-005 4.0000e-003 1.6000e+007 1.7744e-002 -5.4702e-005 5.0000e-003 1.6000e+007 2.0273e-002 6.7097e-006 7.0000e-003 1.6000e+007 2.2272e-002 -2.8064e-006 1.0000e-002 1.6000e+007 3.3572e-002 1.0961e-005 1.7000e-002 1.6000e+007 4.6266e-002 -6.0386e-005 2.5000e-002 1.6000e+007 6.5439e-002 -1.4849e-0043 3.7000e-002 1.6000e+007 8.3582e-002 -1.8575e-003 5.0000e-002 1.6000e+007 1.6119e-001 -5.2559e-004 1.0000e-001 1.6000e+007 2.9763e-001 8.4258e-004 2.0000e-001 1.6000e+007 4.6141e-001 -4.1596e-004 3.5000e-001 1.6000e+007 6.2654e-001 -3.0009e-004 5.0000e-001 1.6000e+007

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Pb [bar] Fass [N]

3.6000e+006 -1.0425e+000 3.6000e+006 -7.0609e-001 3.6000e+006 -3.1236e-001 3.6000e+006 -2.9894e-001 3.6000e+006 -1.7966e-001 3.6000e+006 1.5199e-001 3.6000e+006 7.7450e-001 3.6000e+006 7.1964e-001 3.6000e+006 1.6926e+000 3.6000e+006 2.6409e+000 3.6000e+006 4.0731e+000 3.6000e+006 4.0399e+000 3.6000e+006 6.2345e+000 3.6000e+006 1.2187e+001 3.6000e+006 1.0112e+001 3.6000e+006 4.9996e+000

--- ---

Q_4 --> matrice [16*10] relativa al modello 4 (Pa=125bar – Pb=71bar)

Qm [Kg/s] Qa [Kg/s] Qb [Kg/s] Qsc1 [Kg/s]

-4.2763e-002 -5.4679e-003 7.1575e-003 2.3622e-002 -3.9820e-002 -2.6483e-003 3.6014e-003 2.1402e-002 -3.9751e-002 9.4182e-004 7.1173e-004 1.9181e-002 -4.0596e-002 2.9390e-003 -1.7098e-003 1.8751e-002 -4.0918e-002 4.7307e-003 -4.5976e-003 1.8351e-002 -4.4608e-002 7.4624e-003 -7.1161e-003 1.8569e-002 -4.8228e-002 1.0973e-002 -1.0279e-002 1.8472e-002 -5.1256e-002 1.7020e-002 -1.5987e-002 1.7035e-002 -6.5206e-002 3.2402e-002 -3.1703e-002 1.6235e-002 -8.2660e-002 5.0603e-002 -5.0706e-002 1.5877e-002 -1.1022e-001 7.9529e-002 -7.8612e-002 1.4949e-002 -1.3739e-001 1.1236e-001 -1.1072e-001 1.2444e-002

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Qsc2 [Kg/s] Tot_cum Xv [mm] Pa [bar]

1.7350e-002 -1.0094e-004 0 1.2500e+007 1.7465e-002 -1.1861e-006 1.0000e-003 1.2500e+007 1.8918e-002 2.0088e-006 2.0000e-003 1.2500e+007 2.0604e-002 -1.2136e-005 3.0000e-003 1.2500e+007 2.2432e-002 -1.5536e-006 4.0000e-003 1.2500e+007 2.5746e-002 5.2118e-007 5.0000e-003 1.2500e+007 2.9267e-002 2.0448e-004 7.0000e-003 1.2500e+007 3.3202e-002 1.4379e-005 1.0000e-002 1.2500e+007 4.8200e-002 -7.2658e-005 1.7000e-002 1.2500e+007 6.6850e-002 -3.5581e-005 2.5000e-002 1.2500e+007 9.4149e-002 -2.0172e-004 3.7000e-002 1.2500e+007 1.2301e-001 -3.0114e-004 5.0000e-002 1.2500e+007 2.3193e-001 5.2311e-004 1.0000e-001 1.2500e+007 4.1700e-001 5.8484e-004 2.0000e-001 1.2500e+007 6.4416e-001 -7.4167e-004 3.5000e-001 1.2500e+007 8.9634e-001 -6.0278e-005 5.0000e-001 1.2500e+007

Pb [bar] Fass [N]

7.1000e+006 -3.7580e-001 7.1000e+006 -8.4202e-002 7.1000e+006 2.7611e-001 7.1000e+006 6.2005e-001 7.1000e+006 7.5680e-001 7.1000e+006 1.6423e+000 7.1000e+006 2.3229e+000 7.1000e+006 2.7924e+000 7.1000e+006 4.6202e+000 7.1000e+006 5.9226e+000 7.1000e+006 8.1876e+000 7.1000e+006 1.0328e+001 7.1000e+006 1.4872e+001 7.1000e+006 2.1592e+001 7.1000e+006 1.5872e+001 7.1000e+006 9.7948e+000

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I file Matlab

®

utilizzati per le elaborazioni effettuate nel lavoro della presente tesi sono elencati di seguito:

dati_ddv.m

Forze_flusso_sperimentali.m Forze_flusso_CFD.m

Cd_Rey.m Grafici_reg_3.m Grafici_reg_7.m Grafici_reg_10.m Grafici_reg_BP.m Portate.m

genera_acq01_tab_coeff_C.m genera_acq04_tab_coeff_c.m portate_CFD.m

pressione.m

coeff_traf_1.m « function matlab » coeff_traf_2.m « function matlab » coeff_traf_3.m « function matlab » coeff_traf_4.m « function matlab » aree.m

Per una miglior chiarezza i file .m sopra elencati, sono riportati sul supporto

CD allegato nella presente tesi.

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