化工学报 ›› 2023, Vol. 74 ›› Issue (1): 428-437.DOI: 10.11949/0438-1157.20221131
仇鹏1(), 韩洋1, 许建良1, 王辅臣1, 代正华1,2()
收稿日期:
2022-08-11
修回日期:
2022-11-17
出版日期:
2023-01-05
发布日期:
2023-03-20
通讯作者:
代正华
作者简介:
仇鹏(1987—),男,博士研究生,讲师,y10180283@mail.ecust.edu.cn
基金资助:
Peng QIU1(), Yang HAN1, Jianliang XU1, Fuchen WANG1, Zhenghua DAI1,2()
Received:
2022-08-11
Revised:
2022-11-17
Online:
2023-01-05
Published:
2023-03-20
Contact:
Zhenghua DAI
摘要:
气流床煤气化炉是多相湍流反应器,伴随燃烧、变换等均相反应过程,可由eddy dissipation concept(EDC)模型模拟湍流-化学反应相互作用,但需修正模型参数。以1500 t/d多喷嘴对置水煤浆气化炉为对象,分析了Realizable κ-ε条件下气化炉EDC模型的参数修正范围,考察了EDC模型参数对合成气温度和组成的影响。结果表明,当CD1=0.213时,0.272≤CD2≤2.268。在此范围修正EDC模型参数,气化炉出口温度、CO和H2体积分数相对误差比修正前降低,最小可分别达到-2.54%、-3.93%和0.74%,模型修正范围可靠。默认参数的EDC模拟温度和组成结果始终处于边界参数模型范围内,且该范围越靠近气化炉出口越窄,各模型模拟结果趋于一致。
中图分类号:
仇鹏, 韩洋, 许建良, 王辅臣, 代正华. 用于预测气流床煤气化的EDC模型参数研究[J]. 化工学报, 2023, 74(1): 428-437.
Peng QIU, Yang HAN, Jianliang XU, Fuchen WANG, Zhenghua DAI. Study of EDC parameters for predicting entrained flow coal gasification[J]. CIESC Journal, 2023, 74(1): 428-437.
Case | 原料 | 湍流方程 | 次级参数 | 文献 |
---|---|---|---|---|
1~12 | CH4 | Realizable κ-ε | Cτ =0.4083~8,Cγ =2.1377~13 | [ |
13~15 | CH4 | Realizable κ-ε | Cτ =0.4083,Cγ =2.14~4.4 | [ |
16 | CH4 | DNS/Standard κ-ε | Cτ =0.41,Cγ =4.6 | [ |
17 | CH4 | SST κ-ω | Cτ =0.4083,Cγ =10.7 | [ |
18~23 | CH4 | Realizable κ-ε | Cτ =0.4083,Cγ =4.3~21.45 | [ |
— | CH4 | Standard κ-ε | not modified | [ |
— | CH4 | Standard κ-ε | not modified | [ |
— | coal | Realizable κ-ε | not modified | [ |
— | CH4 | Standard κ-ε | not modified | [ |
— | CH4 | Standard κ-ε | not modified | [ |
— | solid waste | Standard κ-ε | not modified | [ |
— | CH4 | Standard κ-ε | not modified | [ |
— | coal | Realizable κ-ε | not modified | [ |
表1 采用EDC模型的不同原料气化过程汇总
Table 1 The summary of various material gasification using EDC model
Case | 原料 | 湍流方程 | 次级参数 | 文献 |
---|---|---|---|---|
1~12 | CH4 | Realizable κ-ε | Cτ =0.4083~8,Cγ =2.1377~13 | [ |
13~15 | CH4 | Realizable κ-ε | Cτ =0.4083,Cγ =2.14~4.4 | [ |
16 | CH4 | DNS/Standard κ-ε | Cτ =0.41,Cγ =4.6 | [ |
17 | CH4 | SST κ-ω | Cτ =0.4083,Cγ =10.7 | [ |
18~23 | CH4 | Realizable κ-ε | Cτ =0.4083,Cγ =4.3~21.45 | [ |
— | CH4 | Standard κ-ε | not modified | [ |
— | CH4 | Standard κ-ε | not modified | [ |
— | coal | Realizable κ-ε | not modified | [ |
— | CH4 | Standard κ-ε | not modified | [ |
— | CH4 | Standard κ-ε | not modified | [ |
— | solid waste | Standard κ-ε | not modified | [ |
— | CH4 | Standard κ-ε | not modified | [ |
— | coal | Realizable κ-ε | not modified | [ |
Case No. | Cτ | Cγ | CD1 | CD2 | CR | αL | ReT(1) | ReT(2) | L*/η | τ*/τη | Re* | ReT atε2/ε=0.1 | ε2/ε atReT=50 | ε2/ε atReT=1 | ReT atγλ=0.75 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 0.4083 | 2.1377 | 0.134 | 0.50 | 11.2 | 27.84 | 20.9 | 0.2 | 1.4 | 0.4 | 2.49 | 225.5 | 0.2848 | 0.8276 | 66.0 |
2 | 0.4083 | 3.2066 | 0.060 | 0.50 | 25.2 | 140.97 | 105.7 | 0.2 | 2.1 | 0.4 | 5.60 | 1141.8 | 0.5559 | 0.9192 | 334.1 |
3 | 0.4083 | 5.56 | 0.020 | 0.50 | 75.7 | 1274.20 | 955.7 | 0.2 | 3.7 | 0.4 | 16.83 | 10321.0 | 0.8206 | 0.9724 | 3020.3 |
4 | 0.4083 | 8.45 | 0.009 | 0.50 | 174.9 | 6797.76 | 5098.3 | 0.2 | 5.6 | 0.4 | 38.87 | 55061.8 | 0.9178 | 0.9879 | 16113.2 |
5 | 0.4083 | 13 | 0.004 | 0.50 | 413.9 | 38081.33 | 28561.0 | 0.2 | 8.7 | 0.4 | 92.00 | 308458.8 | 0.9644 | 0.9949 | 90266.9 |
6 | 8.0000 | 13 | 0.071 | 192.00 | 21.1 | 38081.33 | 28561.0 | 64.0 | 169.8 | 8.0 | 1802.67 | 308458.8 | 0.9644 | 0.9949 | 90266.9 |
7 | 8.0000 | 4 | 0.750 | 192.00 | 2.0 | 341.33 | 256.0 | 64.0 | 52.3 | 8.0 | 170.67 | 2764.8 | 0.6836 | 0.9473 | 809.1 |
8 | 8.0000 | 5 | 0.480 | 192.00 | 3.1 | 833.33 | 625.0 | 64.0 | 65.3 | 8.0 | 266.67 | 6750.0 | 0.7832 | 0.9660 | 1975.3 |
9 | 8.0000 | 6 | 0.333 | 192.00 | 4.5 | 1728.00 | 1296.0 | 64.0 | 78.4 | 8.0 | 384.00 | 13996.8 | 0.8438 | 0.9762 | 4096.0 |
10 | 8.0000 | 7 | 0.245 | 192.00 | 6.1 | 3201.33 | 2401.0 | 64.0 | 91.4 | 8.0 | 522.67 | 25930.8 | 0.8826 | 0.9825 | 7588.3 |
11 | 8.0000 | 10 | 0.120 | 192.00 | 12.5 | 13333.33 | 10000.0 | 64.0 | 130.6 | 8.0 | 1066.67 | 108000.0 | 0.9406 | 0.9914 | 31604.9 |
12 | 8.0000 | 13 | 0.071 | 192.00 | 21.1 | 38081.33 | 28561.0 | 64.0 | 169.8 | 8.0 | 1802.67 | 308458.8 | 0.9644 | 0.9949 | 90266.9 |
13 | 0.4083 | 2.14 | 0.134 | 0.50 | 11.2 | 27.96 | 21.0 | 0.2 | 1.4 | 0.4 | 2.49 | 226.5 | 0.2855 | 0.8279 | 66.3 |
14 | 0.4083 | 3.2 | 0.060 | 0.50 | 25.1 | 139.81 | 104.9 | 0.2 | 2.1 | 0.4 | 5.57 | 1132.5 | 0.5546 | 0.9189 | 331.4 |
15 | 0.4083 | 4.4 | 0.032 | 0.50 | 47.4 | 499.75 | 374.8 | 0.2 | 2.9 | 0.4 | 10.54 | 4047.9 | 0.7298 | 0.9563 | 1184.6 |
16 | 0.4100 | 4.6 | 0.029 | 0.50 | 51.6 | 596.99 | 447.7 | 0.2 | 3.1 | 0.4 | 11.57 | 4835.7 | 0.7495 | 0.9599 | 1415.1 |
17 | 0.4083 | 10.7 | 0.005 | 0.50 | 280.4 | 17477.28 | 13108.0 | 0.2 | 7.1 | 0.4 | 62.33 | 141566.0 | 0.9479 | 0.9925 | 41427.6 |
18 | 0.4083 | 4.3 | 0.033 | 0.50 | 45.3 | 455.84 | 341.9 | 0.2 | 2.9 | 0.4 | 10.07 | 3692.3 | 0.7191 | 0.9542 | 1080.5 |
19 | 0.4083 | 6.4 | 0.015 | 0.50 | 100.3 | 2236.96 | 1677.7 | 0.2 | 4.3 | 0.4 | 22.30 | 18119.4 | 0.8613 | 0.9791 | 5302.4 |
20 | 0.4083 | 8.55 | 0.008 | 0.50 | 179.0 | 7125.30 | 5344.0 | 0.2 | 5.7 | 0.4 | 39.80 | 57714.9 | 0.9197 | 0.9882 | 16889.6 |
21 | 0.4083 | 12.95 | 0.004 | 0.50 | 410.7 | 37498.84 | 28124.1 | 0.2 | 8.6 | 0.4 | 91.30 | 303740.6 | 0.9641 | 0.9948 | 88886.1 |
22 | 0.4083 | 15 | 0.003 | 0.50 | 551.1 | 67500.00 | 50625.0 | 0.2 | 10.0 | 0.4 | 122.49 | 546750.0 | 0.9732 | 0.9962 | 160000.0 |
23 | 0.4083 | 21.45 | 0.001 | 0.50 | 1126.9 | 282259.08 | 211694.3 | 0.2 | 14.3 | 0.4 | 250.48 | 2286298.6 | 0.9868 | 0.9981 | 669058.6 |
24 | 0.8695 | 2.4745 | 0.213 | 2.268 | 7.0 | 49.99 | 37.5 | 0.8 | 3.5 | 0.9 | 7.10 | 404.9 | 0.3819 | 0.8682 | 118.5 |
25 | 0.3011 | 1.4562 | 0.213 | 0.272 | 7.0 | 6.00 | 4.5 | 0.1 | 0.7 | 0.3 | 0.85 | 48.6 | 0.0976 | 0.6666 | 14.2 |
表2 气化模拟文献中EDC模型参数的修正
Table 2 The modification of EDC constants in gasification literatures
Case No. | Cτ | Cγ | CD1 | CD2 | CR | αL | ReT(1) | ReT(2) | L*/η | τ*/τη | Re* | ReT atε2/ε=0.1 | ε2/ε atReT=50 | ε2/ε atReT=1 | ReT atγλ=0.75 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 0.4083 | 2.1377 | 0.134 | 0.50 | 11.2 | 27.84 | 20.9 | 0.2 | 1.4 | 0.4 | 2.49 | 225.5 | 0.2848 | 0.8276 | 66.0 |
2 | 0.4083 | 3.2066 | 0.060 | 0.50 | 25.2 | 140.97 | 105.7 | 0.2 | 2.1 | 0.4 | 5.60 | 1141.8 | 0.5559 | 0.9192 | 334.1 |
3 | 0.4083 | 5.56 | 0.020 | 0.50 | 75.7 | 1274.20 | 955.7 | 0.2 | 3.7 | 0.4 | 16.83 | 10321.0 | 0.8206 | 0.9724 | 3020.3 |
4 | 0.4083 | 8.45 | 0.009 | 0.50 | 174.9 | 6797.76 | 5098.3 | 0.2 | 5.6 | 0.4 | 38.87 | 55061.8 | 0.9178 | 0.9879 | 16113.2 |
5 | 0.4083 | 13 | 0.004 | 0.50 | 413.9 | 38081.33 | 28561.0 | 0.2 | 8.7 | 0.4 | 92.00 | 308458.8 | 0.9644 | 0.9949 | 90266.9 |
6 | 8.0000 | 13 | 0.071 | 192.00 | 21.1 | 38081.33 | 28561.0 | 64.0 | 169.8 | 8.0 | 1802.67 | 308458.8 | 0.9644 | 0.9949 | 90266.9 |
7 | 8.0000 | 4 | 0.750 | 192.00 | 2.0 | 341.33 | 256.0 | 64.0 | 52.3 | 8.0 | 170.67 | 2764.8 | 0.6836 | 0.9473 | 809.1 |
8 | 8.0000 | 5 | 0.480 | 192.00 | 3.1 | 833.33 | 625.0 | 64.0 | 65.3 | 8.0 | 266.67 | 6750.0 | 0.7832 | 0.9660 | 1975.3 |
9 | 8.0000 | 6 | 0.333 | 192.00 | 4.5 | 1728.00 | 1296.0 | 64.0 | 78.4 | 8.0 | 384.00 | 13996.8 | 0.8438 | 0.9762 | 4096.0 |
10 | 8.0000 | 7 | 0.245 | 192.00 | 6.1 | 3201.33 | 2401.0 | 64.0 | 91.4 | 8.0 | 522.67 | 25930.8 | 0.8826 | 0.9825 | 7588.3 |
11 | 8.0000 | 10 | 0.120 | 192.00 | 12.5 | 13333.33 | 10000.0 | 64.0 | 130.6 | 8.0 | 1066.67 | 108000.0 | 0.9406 | 0.9914 | 31604.9 |
12 | 8.0000 | 13 | 0.071 | 192.00 | 21.1 | 38081.33 | 28561.0 | 64.0 | 169.8 | 8.0 | 1802.67 | 308458.8 | 0.9644 | 0.9949 | 90266.9 |
13 | 0.4083 | 2.14 | 0.134 | 0.50 | 11.2 | 27.96 | 21.0 | 0.2 | 1.4 | 0.4 | 2.49 | 226.5 | 0.2855 | 0.8279 | 66.3 |
14 | 0.4083 | 3.2 | 0.060 | 0.50 | 25.1 | 139.81 | 104.9 | 0.2 | 2.1 | 0.4 | 5.57 | 1132.5 | 0.5546 | 0.9189 | 331.4 |
15 | 0.4083 | 4.4 | 0.032 | 0.50 | 47.4 | 499.75 | 374.8 | 0.2 | 2.9 | 0.4 | 10.54 | 4047.9 | 0.7298 | 0.9563 | 1184.6 |
16 | 0.4100 | 4.6 | 0.029 | 0.50 | 51.6 | 596.99 | 447.7 | 0.2 | 3.1 | 0.4 | 11.57 | 4835.7 | 0.7495 | 0.9599 | 1415.1 |
17 | 0.4083 | 10.7 | 0.005 | 0.50 | 280.4 | 17477.28 | 13108.0 | 0.2 | 7.1 | 0.4 | 62.33 | 141566.0 | 0.9479 | 0.9925 | 41427.6 |
18 | 0.4083 | 4.3 | 0.033 | 0.50 | 45.3 | 455.84 | 341.9 | 0.2 | 2.9 | 0.4 | 10.07 | 3692.3 | 0.7191 | 0.9542 | 1080.5 |
19 | 0.4083 | 6.4 | 0.015 | 0.50 | 100.3 | 2236.96 | 1677.7 | 0.2 | 4.3 | 0.4 | 22.30 | 18119.4 | 0.8613 | 0.9791 | 5302.4 |
20 | 0.4083 | 8.55 | 0.008 | 0.50 | 179.0 | 7125.30 | 5344.0 | 0.2 | 5.7 | 0.4 | 39.80 | 57714.9 | 0.9197 | 0.9882 | 16889.6 |
21 | 0.4083 | 12.95 | 0.004 | 0.50 | 410.7 | 37498.84 | 28124.1 | 0.2 | 8.6 | 0.4 | 91.30 | 303740.6 | 0.9641 | 0.9948 | 88886.1 |
22 | 0.4083 | 15 | 0.003 | 0.50 | 551.1 | 67500.00 | 50625.0 | 0.2 | 10.0 | 0.4 | 122.49 | 546750.0 | 0.9732 | 0.9962 | 160000.0 |
23 | 0.4083 | 21.45 | 0.001 | 0.50 | 1126.9 | 282259.08 | 211694.3 | 0.2 | 14.3 | 0.4 | 250.48 | 2286298.6 | 0.9868 | 0.9981 | 669058.6 |
24 | 0.8695 | 2.4745 | 0.213 | 2.268 | 7.0 | 49.99 | 37.5 | 0.8 | 3.5 | 0.9 | 7.10 | 404.9 | 0.3819 | 0.8682 | 118.5 |
25 | 0.3011 | 1.4562 | 0.213 | 0.272 | 7.0 | 6.00 | 4.5 | 0.1 | 0.7 | 0.3 | 0.85 | 48.6 | 0.0976 | 0.6666 | 14.2 |
项目 | 出口温度/℃ | 相对误差/% | CO体积分数 (干基)/% | 相对误差/% | H2体积分数 (干基)/% | 相对误差/% | 碳转化率/% |
---|---|---|---|---|---|---|---|
工业数据 | 1220 | — | 46.77 | — | 35.10 | — | 98.8 |
ED | 1317 | 7.95 | 49.35 | 5.52 | 34.14 | -2.74 | 98.1 |
EDC-case 1 | 1138 | -6.72 | 42.15 | -9.88 | 37.71 | 7.44 | 98.1 |
EDC-case 2 | 1144 | -6.23 | 42.55 | -9.02 | 37.56 | 7.01 | 98.1 |
EDC-case 24 | 1149 | -5.82 | 43.59 | -6.80 | 35.74 | 1.82 | 98.1 |
EDC-case 25 | 1189 | -2.54 | 44.93 | -3.93 | 35.36 | 0.74 | 98.1 |
表3 工业数据与模拟结果比较
Table 3 Comparison between industrial data and simulation results
项目 | 出口温度/℃ | 相对误差/% | CO体积分数 (干基)/% | 相对误差/% | H2体积分数 (干基)/% | 相对误差/% | 碳转化率/% |
---|---|---|---|---|---|---|---|
工业数据 | 1220 | — | 46.77 | — | 35.10 | — | 98.8 |
ED | 1317 | 7.95 | 49.35 | 5.52 | 34.14 | -2.74 | 98.1 |
EDC-case 1 | 1138 | -6.72 | 42.15 | -9.88 | 37.71 | 7.44 | 98.1 |
EDC-case 2 | 1144 | -6.23 | 42.55 | -9.02 | 37.56 | 7.01 | 98.1 |
EDC-case 24 | 1149 | -5.82 | 43.59 | -6.80 | 35.74 | 1.82 | 98.1 |
EDC-case 25 | 1189 | -2.54 | 44.93 | -3.93 | 35.36 | 0.74 | 98.1 |
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