NUCLEAR TECHNIQUES, Volume. 46, Issue 6, 060604(2023)
Friction pressure drop model for wire-wrapped rod bundles in full flow
Figures & Tables(15)
Fig. 2. The ratio of the number of subchannels to the total number of subchannels
Fig. 3. Relationship between CbT and n (a) Rehme's experimental data, (b) Database data
Fig. 4. Relationship between CbT and P/D (a) Marten's and Rehme's experimental data, (b) Database data
Fig. 5. Relationship between CbT and H/D (a) Rehme's experimental data, (b) Database data
Fig. 9. Predicted friction coefficients of the different models vs. the experimental friction coefficients (a) Novendstern model, (b) Rehme model, (c) Engel model, (d) BBDD model, (e) CTS model, (f) CTD mode, (g) UCTD model, (h) This word model
Fig. 10. Predicted friction coefficients of the different models vs. the LBE experimental friction coefficients
Table 1. Experimental data
View tableView in ArticleTable 1. Experimental data
作者ID P/D Nr H/D 年份Year D / mm Dw / mm CT CL 数据点Points Marten13[ 6 ]1.041 37 17.01 1982 15.98 0.66 0.159 7 46.43 19 Chiu1[ 11 ]1.067 61 8 1977 12.73 0.8 0.240 2 88.00 35 Chiu2[ 11 ]1.067 61 4 1977 12.73 0.8 0.471 9 160 41 Marten21[ 6 ]1.072 37 8.34 1982 15.51 1.12 0.157 0 71.00 19 Engel[ 3 ]1.082 61 7.698 1979 12.85 0.94 0.277 7 99.42 61 Marten32[ 6 ]1.101 37 12.31 1982 15.11 1.53 0.206 6 75.31 19 LYU1[ 12 ]1.116 7 25 2020 15 1.64 0.131 4 — 30 LYU2[ 13 ]1.116 61 25 2016 15 1.64 0.167 0 — 40 Rehme11[ 2 ]1.125 7 8.33 1967 12 1.5 0.182 7 — 22 Rehme21[ 2 ]1.125 19 8.33 1967 12 1.5 0.299 5 — 27 Rehme22[ 2 ]1.125 19 12.5 1967 12 1.5 0.200 0 — 29 Rehme23[ 2 ]1.125 19 16.67 1967 12 1.5 0.168 2 — 31 Rehme24[ 2 ]1.125 19 25 1967 12 1.5 0.145 2 — 30 Rehme25[ 2 ]1.125 19 33.33 1967 12 1.5 0.136 1 — 46 Fan[ 14 ]1.151 19 11.16 2020 12.9 1.95 0.219 8 — 57 Cheng[ 6 ]1.154 37 13.4 1986 15.04 2.26 0.200 1 92.88 39 Itoh1[ 6 ]1.176 127 38 1981 5.5 0.9 0.161 5 75.21 22 Grazzini[ 15 ]1.18 91 23.95 1971 6.68 1.2 0.180 4 — 6 Ohshima1[ 16 ]1.18 127 38 2017 5.5 0.9 0.157 0 75.92 11 Vaghetto[ 17 ]1.189 61 30 2018 15.9 3 0.143 0 75 49 Ohshima3[ 16 ]1.2 271 22 2017 7.5 1.4 0.180 0 — 6 Song[ 18 ]1.2 19 23.1 2020 20 3 0.178 0 — 6 Choi[ 19 ]1.2 271 24.84 2003 7.4 1.4 0.185 7 — 91 Ohshima2[ 16 ]1.21 169 47.2 2017 6.5 1.32 0.156 8 76.4 19 Itoh2[ 6 ]1.214 169 47.4 1981 6.5 1.32 0.159 7 76.44 17 Wakasugi1[ 20 ]1.221 91 14.29 1971 6.3 1.27 0.224 1 — 11 Wakasugi2[ 20 ]1.221 91 20.63 1971 6.3 1.27 0.196 2 — 12 Wakasugi3[ 20 ]1.221 91 30.16 1971 6.3 1.27 0.167 8 — 11 Wakasugi4[ 20 ]1.221 91 41.27 1971 6.3 1.27 0.162 0 — 12 Rehme12[ 2 ]1.233 7 8.33 1967 12 2.8 0.286 3 — 36 Spencer[ 21 ]1.252 217 51.74 1980 5.84 1.42 0.159 9 85.72 65 Padmakumar[ 22 ]1.255 217 30.3 2017 6.6 1.65 0.186 6 87.72 50 Chun[ 23 ]1.256 19 25 2001 8 2 0.188 2 98.33 161 Rehme13[ 2 ]1.275 7 8.33 1967 12 3.3 0.356 1 — 28 Rehme16[ 2 ]1.275 7 12.5 1967 12 3.3 0.252 5 — 32 Rehme17[ 2 ]1.275 7 50 1967 12 3.3 0.117 6 — 33 Rehme26[ 2 ]1.275 19 12.5 1967 12 3.3 0.285 3 — 31 Rehme27[ 2 ]1.275 19 50 1967 12 3.3 0.131 9 — 33 Rehme31[ 2 ]1.275 37 12.5 1967 12 3.3 0.311 0 — 31 Rehme32[ 2 ]1.275 37 50 1967 12 3.3 0.140 8 — 33 Pacio[ 24 ]1.279 19 40 2016 8.2 2.2 0.163 5 — 51 Kennedy[ 25 ]1.282 127 40.4 2019 6.55 1.8 0.163 9 — 42 Hoffmann1[ 26 ]1.317 61 16.67 1973 6 1.9 0.263 0 — 30 Hoffmann2[ 26 ]1.317 61 33.33 1973 6 1.9 0.170 5 — 34 Hoffmann3[ 26 ]1.317 61 50 1973 6 1.9 0.162 2 — 34 Rehme14[ 2 ]1.343 7 8.33 1967 12 4.48 0.535 7 — 31 Rehme15[ 2 ]1.417 7 8.33 1967 12 5 0.832 4 — 27 Rehme41[ 2 ]1.417 19 8.33 1967 12 5 0.930 4 — 30 Rehme42[ 2 ]1.417 19 12.5 1967 12 5 0.448 4 — 29 Rehme43[ 2 ]1.417 19 16.67 1967 12 5 0.317 4 — 31 Rehme44[ 2 ]1.417 19 25 1967 12 5 0.206 1 — 32 Rehme45[ 2 ]1.417 19 50 1967 12 5 0.157 9 — 31
Table 2. The number of components as a function of the number of subchannels
View tableView in ArticleTable 2. The number of components as a function of the number of subchannels
项目
Item 组件数量
Number of robs
中心子通道数量
Number of center subchannels
边子通道数量
Number of edge subchannels
角子通道数量
Number of corner channels
基数
Cardinality
Table 3. Modified empirical constants
View tableView in ArticleTable 3. Modified empirical constants
修正常数γ的值The value of γ 100 30 20 15 10 7 5 4 3 平均相对误差Mean relative error / % 3.59 3.26 2.98 2.69 2.08 1.25 0.10 -0.90 -2.33 均方根Root mean square / % 13.24 13.9 12.9 12.76 12.52 12.24 11.92 11.75 12.03
Table 4. Friction pressure drop model
View tableView in ArticleTable 4. Friction pressure drop model
摩擦压降模型
Friction pressure drop model
年份
Year
摩擦压降模型推荐范围 Recommended range of friction pressure drop model Nr P/D H/D 雷诺数范围 Range of Re Novndstern[ 1 ]1972 19⁓217 1.06⁓1.42 8⁓96 2 600⁓2×105 Rehme[ 2 ]1973 7⁓217 1.1⁓1.42 8⁓50 1 000⁓3×105 Engel[ 3 ]1982 19⁓61 1.067⁓1.082 7.7⁓8.3 50⁓1×105 CTD[ 6 ]1986 19⁓217 1⁓1.42 8⁓52 50⁓1×106 CTS[ 6 ]1986 19⁓217 1.025⁓1.42 8⁓50 50⁓1×106 BBDD[ 5 ]2008 19⁓217 1.06⁓1.42 8⁓96 50⁓1×105 UCTD[ 8 ]2018 7⁓217 1⁓1.42 8⁓52 50⁓1×106 本文This work 2022 7⁓271 1.04⁓1.42 8⁓54 50⁓3×105
Table 5. Statistical analysis results
View tableView in ArticleTable 5. Statistical analysis results
摩擦压降模型
Friction pressure drop model
Novendstern[ 1 ]Rehme[ 2 ]Engel[ 3 ]BBDD[ 5 ]CTS[ 6 ]CTD[ 6 ]UCTD[ 8 ]本文
This work
层流
Laminar
平均相对误差
Mean relative error / %
-69.73 -5.83 10.07 0.64 -16.72 -28.82 -12.00 1.71 均方根
Root mean square / %
70.57 20.39 32.93 13 26.83 33.94 20.36 9.83 过渡流
Transition
平均相对误差
Mean relative error / %
-1.01 2.07 34.64 -0.04 1.40 -4.52 -6.71 -0.9 均方根
Root mean square / %
23.75 18.37 50.96 12.99 15.57 15.55 19.32 11.75 湍流
Turbulence
平均相对误差
Mean relative error / %
13.41 1.24 35.29 12.98 11.25 11.70 0.57 0.50 均方根
Root mean square / %
24.38 14.99 57.30 22.68 20.36 25.22 18.26 7.73 总计
Total
平均相对误差
Mean relative error / %
(6.09) (1.66) 34.05 8.96 4.76 1.4 -3.62 -0.28 均方根
Root mean square / %
(24.06) (16.79) 54.83 20.17 18.82 22.04 18.89 9.89
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Taotao ZHOU, Shuyong LIU, Jie YU. Friction pressure drop model for wire-wrapped rod bundles in full flow[J]. NUCLEAR TECHNIQUES, 2023, 46(6): 060604
Paper Information
Category: Research Articles
Received: Sep. 7, 2022
Accepted: --
Published Online: Jul. 5, 2023
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