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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

Postal Subscription Code 80-968

2018 Impact Factor: 1.272

Front. Struct. Civ. Eng.    2022, Vol. 16 Issue (7) : 909-927    https://doi.org/10.1007/s11709-022-0833-1
RESEARCH ARTICLE
Aerodynamic impact of train-induced wind on a moving motor-van
Jiajun HE1,2, Huoyue XIANG2,3(), Yongle LI2,3, Bin HAN4
1. Southwest Municipal Engineering Design and Research Institute of China, Chengdu 610299, China
2. Department of Bridge Engineering, Southwest Jiaotong University, Chengdu 610031, China
3. Wind Engineering Key Laboratory of Sichuan Province, Southwest Jiaotong University, Chengdu 610031, China
4. Sichuan Railway Investment Group Co., Ltd., Chengdu 610093, China
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Abstract

The newly-built single-level rail-cum-road bridge brings the issue of the aerodynamic impact of train-induced wind on road automobiles. This research introduced a validated computational fluid dynamics (CFD) model regarding this concern. Such an aerodynamic impact mechanism was explored; a relationship between the transverse distance between train and motor-van (hereinfafter referred to as van) and the aerodynamic effects on the van was explored to help the optimization of bridge decks, and the relationship between the automobile speed and aerodynamic variations of a van was fitted to help traffic control. The fitting results are accurate enough for further research. It is noted that the relative speed of the two automobiles is not the only factor that influences the aerodynamic variations of the van, even at a confirmed relative velocity, the aerodynamic variations of the van vary a lot as the velocity proportion changes, and the most unfavorable case shows an increase of over 40% on the aerodynamic variations compared to the standard case. The decay of the aerodynamic effects shows that not all the velocity terms would enhance the aerodynamic variations; the coupled velocity term constrains the variation amplitude of moments and decreases the total amplitude by 20%–40%.

Keywords rail-cum-road bridge      aerodynamic impact      train-induced wind      CFD      aerodynamic force      quantitative analysis      fitting     
Corresponding Author(s): Huoyue XIANG   
Just Accepted Date: 19 August 2022   Online First Date: 20 October 2022    Issue Date: 17 November 2022
 Cite this article:   
Jiajun HE,Huoyue XIANG,Yongle LI, et al. Aerodynamic impact of train-induced wind on a moving motor-van[J]. Front. Struct. Civ. Eng., 2022, 16(7): 909-927.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-022-0833-1
https://academic.hep.com.cn/fsce/EN/Y2022/V16/I7/909
Fig.1  Cross section of the Yibin Lingang Yangtze River bridge: (a) bridge section; (b) bridge deck system (unit: mm) [4].
Fig.2  Calculation domain and geometric model.
Fig.3  Data exchange of sliding mesh.
Fig.4  Zone division and meshes: (a) zone division; (b) mesh of train; (c) mesh of van.
mesh description FS (N) FL (N)
coarse 4713 666
medium 4637 578
fine 4632 574
Tab.1  Results of different mesh resolutions
Fig.5  Moving model test: (a) test system; (b) automobile models.
Fig.6  Comparison of Cd between the test and simulation.
items P1 V1 V2 P2
test 0.0531 −0.0511 −0.0615 0.0425
simulation 0.0557 −0.0531 −0.059 0.0396
absolute error (%) 4.9 3.91 4.07 6.82
Tab.2  Quantitative difference of Cd between the test and simulation
case number transverse distance, d (m) automobile speed
1 4.4 van: 80 km/h
2 5.0 CRH3: 250 km/h
3 5.5
4 6.0
5 6.5
6 7.0
7 7.5
8 8.0
9 8.5
10 9.0
Tab.3  Case detail for different transverse distance d
Fig.7  Definition of the relative location x.
Fig.8  Pressure contour of the meeting process in encounter (unit: Pa).
Fig.9  Aerodynamic forces under different transverse distances: (a) FS; (b) FL; (c) MR; (d) MY; (e) MP.
Fig.10  Pressure contour and streamline around sole-traveling train (unit: Pa).
Fig.11  Fitting results of the aerodynamic forces and transverse distance. (a) FS; (b) FL; (c) MR; (d) MY; (e) MP.
aerodynamic forces fittingparameters{\&}Radjust2 EN 2013 :a0(d +0.25) 2+a1 Baker: a0(d +1.75) 2 Xiang: a0( d1.75) 2+a1
FS a0 102523 161412 31947
a1 –29 0.50918
R adjust2 0.9982 0.9613 0.9981
FL a0 23672 30743 4962
a1 –116 –1.2627
R adjust2 0.9972 0.8798 0.9838
MR a0 38647 6.625 12008
a1 –15 0.5159
R adjust2 0.9954 0.9583 0.9950
MY a0 164467 219698 33791
a1 –718 –1.6032
R adjust2 0.9903 0.8771 0.9969
MP a0 45211 50992 6741
a1 –359 –2.5943
R adjust2 0.9909 0.7925 0.9802
Tab.4  Fitting parameters and judgement index
case number Vc (km/h) Vt (km/h) d (m)
1 80 200 5
2 225
3 250
4 275
5 300
Tab.5  Case details of different train speeds
aerodynamic forces A1 A2 A3
FS P1-N N-V1 P1-V1
FL P1-N N-V1 P1-V1
MR P1-N N-V1 P1-V1
MY P1-N N-V1 P1-V1
MP P-N N-V2 P-V2
Tab.6  Defined values of variation amplitude
Fig.12  Fitting results of different train speeds: (a) FS; (b) FL; (c) MR; (d) MY (e) MP.
aerodynamic force values a b c R adjust2
FS A1 –0.0893 0.5145 0.8250 0.9996
A2 1.0328 0.6582 –0.5949 0.9987
A3 0.9431 1.1726 0.2300 0.9998
FL A1 –0.0110 0.1327 0.0916 0.9947
A2 –0.5168 0.0273 0.4876 0.9829
A3 –0.5278 0.1599 0.5792 0.9996
MR A1 1.6543 0.3293 –0.6737 0.9942
A2 1.6382 0.2432 –0.9750 0.9978
A3 3.2926 0.5726 –1.6487 0.9971
MY A1 3.9579 1.2702 –2.0469 0.9995
A2 0.6478 1.3069 –0.5617 0.9964
A3 4.6057 2.5771 –2.6086 0.9992
MP A1 2.8146 0.4664 –1.5124 0.9832
A2 2.6796 0.4752 –1.9797 0.8404
A3 5.4943 0.9415 –3.4922 0.9888
Tab.7  Fitting parameters and judgement index
aerosnamic force velocity term 200 km/h 225 km/h 250 km/h 275 km/h 300 km/h
FS a Vc2 0.1066 0.0868 0.0719 0.0605 0.0515
b Vt2 0.8284 0.8537 0.8733 0.8888 0.9013
c Vc Vt 0.0650 0.0595 0.0548 0.0507 0.0471
FL a Vc2 –0.1774 –0.1543 -0.1354 –0.1197 –0.1067
b Vt2 0.3359 0.3697 0.4005 0.4286 0.4544
c Vc Vt 0.4867 0.4761 0.4642 0.4517 0.4389
MR a Vc2 0.2995 0.2643 0.2346 0.2094 0.1879
b Vt2 0.3255 0.3635 0.3984 0.4302 0.4594
c Vc Vt –0.3749 –0.3722 –0.3671 –0.3604 –0.3527
MY a V c2 0.1691 0.1425 0.1214 0.1046 0.0910
b Vt2 0.5914 0.6306 0.6636 0.6917 0.7158
c Vc Vt –0.2395 –0.2269 –0.2149 –0.2037 –0.1932
MP a V c2 0.2732 0.2413 0.2146 0.1919 0.1726
b V t2 0.2926 0.3272 0.3592 0.3887 0.4160
c Vc Vt –0.4342 –0.4315 –0.4263 –0.4194 –0.4114
Tab.8  Proportion of velocity terms (unit: %)
case number Vc (km/h) Vt (km/h) percentage (%) d (m)
1 100 230 69.70 5
2 80 250 75.76
3 60 270 81.82
4 0 330 100
Tab.9  Case details of different velocity proportion
Fig.13  Aerodynamic forces under different velocity proportion. (a) FS; (b) FL; (c) MR; (d) MY; (e) MP.
case number FS FL MR MP MY
1 0.90 0.90 0.98 0.98 0.88
2 1.00 1.00 1.00 1.00 1.00
3 1.10 1.06 1.06 1.23 1.15
4 1.39 1.23 1.43 1.67 1.64
Tab.10  Comparison of amplitude coefficient in different velocity proportions
aerodynamic force Ai Vc = 100 km/h, Vt = 230 km/h Vc = 80 km/h, Vt = 250 km/h Vc = 60 km/h, Vt = 270 km/h Vc = 0 km/h, Vt = 330 km/h
FS A1 0.07 0.47 0.22 –4.91
A2 3.42 0.06 1.57 24.03
A3 1.40 0.28 0.82 9.41
FL A1 2.23 0.44 6.19 14.34
A2 –0.93 0.17 –9.22 –69.50
A3 0.74 0.28 –0.90 –22.22
MR A1 7.80 –0.93 4.62 91.27
A2 5.38 –1.06 6.16 69.07
A3 7.16 –0.93 5.09 81.20
MY A1 1.28 0.18 4.18 106.64
A2 0.39 1.14 0.99 –10.15
A3 0.83 0.70 2.41 24.55
MP A1 –13.55 –6.21 –7.36 200.75
A2 197.25 30.71 57.42 130.94
A3 6.15 2.44 9.97 160.92
Tab.11  Percentage error between the fitting results and numerical results (unit: %)
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