Результаты оптимизационного расчета

Как уже упоминалось выше, оптимизируется вариант 15.

*** Variant # 15 ***

Amount of rotors, nr=1

Amount of stages on rotor #1, nst=3

+---+------+------+------+------+----------+------+------+------+------+------+

| # | Type | F | Mu | PSIt | Reu | U2 | D2 | ETA | Tin | Tout |

+---+------+------+------+------+----------+------+------+------+------+------+

|Rotor # 1 n=60000. Dhb=0.25 |

| 1 |3D+VD |0.0306|0.5382|0.7500| 6.140E+06|555.36|0.1768|0.8288|308.00|354.36|

| 2 |3D+VD |0.0263|0.5018|0.7400| 7.140E+06|555.36|0.1768|0.8303|354.36|400.40|

| 3 |3D+VD |0.0231|0.4720|0.7300| 8.140E+06|555.36|0.1768|0.8312|400.40|446.12|

+---+------+------+------+------+----------+------+------+------+------+------+

Polytropic Efficiency, ETAp=0.830

Power consumption, Nc=281.03 kW

Stage # 1

**** Input data ****

F =.306E-01

PSIt =.750E+00

Mu =.538E+00

K =.166E+01

Reu =.614E+07

Dhb =.250E+00

DELim =.120E-01

DELvd =.150E-01

DELrch =.200E-01

Kp =.450E+00

Stage exit - RCh

Impeller - 3D

Diffuser - VD

**** Optimization parameters *****

Ad =.100E+01-

AL2 =.180E+02-

DWim =.350E+00-

DCvd =.207E+00-

DCrch =.400E+00-

DAL34 =.100E+02-

B3/B2 =.100E+01-

D3 =.115E+01-

D4 =.145E+01-

B5/B6 =.700E+00-

B66 =.100E+01-

I5 =.000E+00-

******* Calculation rezults ********

+------------------+------------------+------------------+

| Impeller | Diffuser | Return channel |

+------------------+------------------+------------------+

| Stage's geometry parameters |

| D1=.453E+00 | D3=.115E+01 | D5=.145E+01 |

| D0=.453E+00 | D4=.145E+01 | D6=.453E+00 |

| B1=.101E+00 | B3=.286E-01 | B5=.789E-01 |

| B2=.286E-01 | B4=.286E-01 | B6=.113E+00 |

| BT1'=.303E+02 | AL3'=.199E+02 | AL5'=.220E+02 |

| BT2'=.457E+02 | AL4'=.299E+02 | AL6'=.900E+02 |

| Zim=.170E+02 | Zvd=.190E+02 | Zrch=.130E+02 |

| WT=.682E+00 | Cd=.476E+00 | Crch=.545E+00 |

| BTbl1=.323E+02 | ALbl3=.189E+02 | ALbl5=.182E+02 |

| BTbl2=.755E+02 | ALbl4=.329E+02 | ALbl6=.900E+02 |

| Rblim=---------- | Rblvd=.151E+01 | Rbrch=.344E+00 |

| flow rates in control planes |

| F0=.215E+00 | F2=.244E+00 | F4=.159E+00 |

| F1=.215E+00 | F3=.212E+00 | F5=.846E-01 |

| F1'=.265E+00 | F3'=.236E+00 | F5'=.968E-01 |

| F2'=.256E+00 | F4'=.165E+00 | F6'=.141E+00 |

| efficiency losses in elements |

| dETim=.253E-01 | dETvd=.351E-01 | dETrc=.131E-01 |

| dETin=.000E+00 | dETvl=.324E-01 | dETbt=.565E-02 |

| loss coefficients of elements |

| Sim=.138E+00 | Svd=.107E+00 | Src=.281E+00 |

| Sin=.000E+00 | Svl=.781E-01 | Sbt=.791E-01 |

+------------------+------------------+------------------+

Disk friction coefficient, BETfr=.248E-01

Disk leakage coefficient, BETlk=.105E-01

Disk leakage-friction coefficient, BETim=.353E-01

Polytropic efficiency 2-2, ETA(0-2)=.942

Polytropic efficiency 4-4, ETA(0-4)=.876

Polytropic efficiency, ETA=.858

*** Stage performances ***

+---+--------+--------+--------+--------+--------+--------+--------+

| N | F | ETA | PSIi | PSIp | Pi | KN | Kn |

+---+--------+--------+--------+--------+--------+--------+--------+

| 1|.0263|.8284|.8038|.6659| 1.3478|.0212|.2201|

| 2|.0278|.8440|.7938|.6700| 1.3506|.0221|.2253|

| 3|.0294|.8554|.7841|.6707| 1.3514|.0230|.2313|

| 4|.0306|.8610|.7764|.6685| 1.3504|.0238|.2366|

| 5|.0321|.8633|.7670|.6622| 1.3468|.0246|.2442|

| 6|.0337|.8596|.7577|.6513| 1.3406|.0255|.2531|

| 7|.0352|.8532|.7486|.6387| 1.3333|.0263|.2626|

| 8|.0367|.8454|.7395|.6252| 1.3255|.0272|.2725|

| 9|.0382|.8366|.7305|.6112| 1.3174|.0279|.2829|

| 10|.0398|.8266|.7216|.5965| 1.3090|.0287|.2938|

| 11|.0413|.8152|.7128|.5811| 1.3002|.0294|.3054|

| 12|.0428|.8019|.7041|.5646| 1.2908|.0302|.3178|

| 13|.0444|.7867|.6954|.5471| 1.2808|.0309|.3311|

| 14|.0459|.7687|.6867|.5279| 1.2700|.0315|.3459|

| 15|.0474|.7473|.6781|.5068| 1.2581|.0322|.3626|

| 16|.0490|.7207|.6696|.4825| 1.2446|.0328|.3822|

| 17|.0505|.6887|.6611|.4552| 1.2295|.0334|.4054|

| 18|.0520|.6489|.6526|.4235| 1.2121|.0339|.4345|

| 19|.0536|.5970|.6441|.3846| 1.1910|.0345|.4739|

+---+--------+--------+--------+--------+--------+--------+--------+

Рис. 5. Треугольники скоростей первой ступени.

Stage # 2

**** Input data ****

F =.263E-01

PSIt =.740E+00

Mu =.502E+00

K =.166E+01

Reu =.714E+07

Dhb =.250E+00

DELim =.120E-01

DELvd =.150E-01

DELrch =.200E-01

Kp =.450E+00

Stage exit - RCh

Impeller - 3D

Diffuser - VD

**** Optimization parameters *****

Ad =.100E+01-

AL2 =.180E+02-

DWim =.303E+00-

DCvd =.196E+00-

DCrch =.384E+00-

DAL34 =.800E+01-

B3/B2 =.100E+01-

D3 =.115E+01-

D4 =.145E+01-

B5/B6 =.700E+00-

B66 =.100E+01-

I5 =.000E+00-

******* Calculation rezults ********

+------------------+------------------+------------------+

| Impeller | Diffuser | Return channel |

+------------------+------------------+------------------+

| Stage's geometry parameters |

| D1=.441E+00 | D3=.115E+01 | D5=.145E+01 |

| D0=.441E+00 | D4=.145E+01 | D6=.441E+00 |

| B1=.955E-01 | B3=.253E-01 | B5=.761E-01 |

| B2=.253E-01 | B4=.253E-01 | B6=.109E+00 |

| BT1'=.301E+02 | AL3'=.197E+02 | AL5'=.194E+02 |

| BT2'=.444E+02 | AL4'=.277E+02 | AL6'=.900E+02 |

| Zim=.190E+02 | Zvd=.170E+02 | Zrch=.130E+02 |

| WT=.714E+00 | Cd=.515E+00 | Crch=.478E+00 |

| BTbl1=.321E+02 | ALbl3=.188E+02 | ALbl5=.161E+02 |

| BTbl2=.686E+02 | ALbl4=.307E+02 | ALbl6=.900E+02 |

| Rblim=---------- | Rblvd=.124E+01 | Rbrch=.342E+00 |

| flow rates in control planes |

| F0=.200E+00 | F2=.240E+00 | F4=.158E+00 |

| F1=.200E+00 | F3=.209E+00 | F5=.790E-01 |

| F1'=.255E+00 | F3'=.231E+00 | F5'=.922E-01 |

| F2'=.255E+00 | F4'=.164E+00 | F6'=.133E+00 |

| efficiency losses in elements |

| dETim=.258E-01 | dETvd=.357E-01 | dETrc=.183E-01 |

| dETin=.000E+00 | dETvl=.355E-01 | dETbt=.684E-02 |

| loss coefficients of elements |

| Sim=.147E+00 | Svd=.111E+00 | Src=.338E+00 |

| Sin=.000E+00 | Svl=.868E-01 | Sbt=.828E-01 |

+------------------+------------------+------------------+

Disk friction coefficient, BETfr=.280E-01

Disk leakage coefficient, BETlk=.119E-01

Disk leakage-friction coefficient, BETim=.398E-01

Polytropic efficiency 2-2, ETA(0-2)=.937

Polytropic efficiency 4-4, ETA(0-4)=.868

Polytropic efficiency, ETA=.844

*** Stage performances ***

+---+--------+--------+--------+--------+--------+--------+--------+

| N | F | ETA | PSIi | PSIp | Pi | KN | Kn |

+---+--------+--------+--------+--------+--------+--------+--------+

| 1|.0224|.8105|.8029|.6508| 1.2916|.0179|.2064|

| 2|.0237|.8272|.7915|.6547| 1.2939|.0187|.2114|

| 3|.0250|.8395|.7804|.6551| 1.2944|.0195|.2171|

| 4|.0263|.8468|.7695|.6516| 1.2929|.0202|.2236|

| 5|.0276|.8479|.7587|.6433| 1.2890|.0210|.2313|

| 6|.0289|.8428|.7482|.6305| 1.2827|.0216|.2404|

| 7|.0302|.8353|.7377|.6162| 1.2757|.0223|.2501|

| 8|.0316|.8262|.7274|.6010| 1.2683|.0230|.2603|

| 9|.0329|.8158|.7172|.5851| 1.2606|.0236|.2710|

| 10|.0342|.8040|.7071|.5685| 1.2525|.0242|.2824|

| 11|.0355|.7908|.6970|.5512| 1.2442|.0247|.2945|

| 12|.0368|.7753|.6871|.5327| 1.2353|.0253|.3077|

| 13|.0381|.7569|.6772|.5126| 1.2257|.0258|.3224|

| 14|.0395|.7349|.6674|.4904| 1.2151|.0263|.3389|

| 15|.0408|.7066|.6576|.4646| 1.2029|.0268|.3588|

| 16|.0421|.6715|.6479|.4350| 1.1890|.0273|.3830|

| 17|.0434|.6268|.6382|.4000| 1.1727|.0277|.4142|

| 18|.0447|.5670|.6285|.3564| 1.1526|.0281|.4584|

| 19|.0460|.4933|.6189|.3053| 1.1295|.0285|.5223|

+---+--------+--------+--------+--------+--------+--------+--------+

Рис. 6. Треугольники скоростей второй ступени.

Stage # 3

**** Input data ****

F =.231E-01

PSIt =.730E+00

Mu =.472E+00

K =.166E+01

Reu =.814E+07

Dhb =.250E+00

DELim =.120E-01

DELvd =.150E-01

NUscr =.270E+03

Kp =.450E+00

Stage exit - Scroll

Impeller - 3D

Diffuser - VD

**** Optimization parameters *****

Ad =.100E+01-

AL2 =.180E+02-

DWim =.325E+00-

DCvd =.186E+00-

DAL34 =.750E+01-

B3/B2 =.100E+01-

D3 =.115E+01-

D4 =.145E+01-

******* Calculation rezults ********

+------------------+------------------+------------------+

| Impeller | Diffuser | Scroll |

+------------------+------------------+------------------+

| Stage's geometry parameters |

| D1=.428E+00 | D3=.115E+01 | D180=.153E+01 |

| D0=.428E+00 | D4=.145E+01 | D360=.153E+01 |

| B1=.889E-01 | B3=.228E-01 | Ds180=.257E+00 |

| B2=.228E-01 | B4=.228E-01 | Ds360=.364E+00 |

| BT1'=.298E+02 | AL3'=.198E+02 | AL4=.273E+02 |

| BT2'=.428E+02 | AL4'=.273E+02 | NUscr=.270E+03 |

| Zim=.180E+02 | Zvd=.170E+02 |------------------|

| WT=.747E+00 | Cd=.528E+00 |------------------|

| BTbl1=.318E+02 | ALbl3=.188E+02 | ALscr=.265E+02 |

| BTbl2=.674E+02 | ALbl4=.303E+02 |------------------|

| Rblim=---------- | Rblvd=.119E+01 |------------------|

| flow rates in control planes |

| F0=.193E+00 | F2=.237E+00 | F4=.158E+00 |

| F1=.193E+00 | F3=.206E+00 | F180=.316E+00 |

| F1'=.245E+00 | F3'=.228E+00 | F360=.158E+00 |

| F2'=.250E+00 | F4'=.163E+00 |------------------|

| efficiency losses in elements |

| dETim=.256E-01 | dETvd=.371E-01 | dETsc=.541E-01 |

| dETin=.000E+00 | dETvl=.383E-01 |------------------|

| loss coefficients of elements |

| Sim=.154E+00 | Svd=.117E+00 | Sscr=.631E+00 |

| Sin=.000E+00 | Svl=.950E-01 |------------------|

+------------------+------------------+------------------+

Disk friction coefficient, BETfr=.310E-01

Disk leakage coefficient, BETlk=.131E-01

Disk leakage-friction coefficient, BETim=.441E-01

Polytropic efficiency 2-2, ETA(0-2)=.933

Polytropic efficiency 4-4, ETA(0-4)=.861

Polytropic efficiency, ETA=.809

*** Stage performances ***

+---+--------+--------+--------+--------+--------+--------+--------+

| N | F | ETA | PSIi | PSIp | Pi | KN | Kn |

+---+--------+--------+--------+--------+--------+--------+--------+

| 1|.0189|.7733|.8048|.6223| 1.2436|.0152|.1964|

| 2|.0201|.7903|.7926|.6264| 1.2456|.0159|.2013|

| 3|.0213|.8030|.7807|.6269| 1.2460|.0166|.2069|

| 4|.0224|.8105|.7690|.6233| 1.2447|.0172|.2134|

| 5|.0231|.8122|.7622|.6191| 1.2430|.0176|.2178|

| 6|.0243|.8096|.7509|.6080| 1.2383|.0182|.2262|

| 7|.0254|.8005|.7398|.5922| 1.2317|.0188|.2361|

| 8|.0266|.7892|.7288|.5752| 1.2245|.0194|.2468|

| 9|.0277|.7758|.7180|.5571| 1.2169|.0199|.2582|

| 10|.0289|.7609|.7073|.5382| 1.2090|.0204|.2704|

| 11|.0300|.7431|.6967|.5177| 1.2004|.0209|.2839|

| 12|.0312|.7239|.6862|.4967| 1.1917|.0214|.2985|

| 13|.0323|.7012|.6757|.4738| 1.1823|.0219|.3149|

| 14|.0335|.6754|.6654|.4494| 1.1723|.0223|.3334|

| 15|.0346|.6449|.6551|.4224| 1.1613|.0227|.3552|

| 16|.0358|.6107|.6449|.3938| 1.1497|.0231|.3806|

| 17|.0370|.5659|.6347|.3592| 1.1357|.0235|.4144|

| 18|.0381|.5076|.6246|.3170| 1.1190|.0238|.4621|

| 19|.0393|.4320|.6145|.2654| 1.0988|.0241|.5359|

| 20|.0404|.3244|.6044|.1961| 1.0721|.0244|.6823|

+---+--------+--------+--------+--------+--------+--------+--------+

Рис. 7. Треугольники скоростей третьей ступени.

**** New stages Diameters and rotation Speeds ****

Rotor # 1

D2(1)=.1768 m U2(1)=555.4 m/s

D2(2)=.1768 m U2(2)=555.4 m/s

D2(3)=.1768 m U2(3)=555.4 m/s

**** Design Point Parameters ****

Efficiency, ETC=.8392

Pressure ratio, Pi= 2.1730

Power consumption, N= 279.06 kW

Проверка отклонения отношения давлений от заданного:

Отклонение невелико и находится в допустимых пределах и в пределах точности расчета.

Рис. 8. Рассчитанная в программе zzz1 характеристика компрессора .

Рис. 9. Рассчитанная в программе zzz1 характеристика компрессора .

Рис. 10. Полученный в программе zzz1 меридиональный разрез компрессора.

.