Shock wave behavior and aerodynamic load in maglev-equipped evacuated tubes: Effects of blockage ratio

Zun-di Huang , Cheng Peng , Zheng-wei Chen , Zi-jian Guo , Ning Chang , Wei-kai Kong , Zhan-hao Guo , Jia-hao Lu

Journal of Central South University ›› 2025, Vol. 32 ›› Issue (12) : 4902 -4921.

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Journal of Central South University ›› 2025, Vol. 32 ›› Issue (12) :4902 -4921. DOI: 10.1007/s11771-025-6150-9
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Shock wave behavior and aerodynamic load in maglev-equipped evacuated tubes: Effects of blockage ratio

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Abstract

Evacuated tube transportation (ETT) offers a promising high-speed transport solution, but trains operating at supersonic speeds within a sealed tube can induce complex aerodynamic phenomena that impact safety and reliability. This study utilized the Reynolds-averaged Navier-Stokes (RANS) shear stress transport k-ω (SST k-ω) turbulence model for steady-state simulations and the improved delayed detached eddy simulation (IDDES) SST k-ω model for unsteady-state simulations, both coupled with the advection upstream splitting method (AUSM). Four tunnel cross-sectional areas (49 m2, 64 m2, 81 m2, and 100 m2) with corresponding blockage ratios (β) (0.253, 0.192, 0.150, 0.121) were analyzed to explore shock wave formation and its dependence on blockage ratios, along with surface pressure distribution and aerodynamic loading. Results show that higher blockage ratios increase shock wave intensity, while larger tunnel areas reduce this intensity, improving flow structure and wake effects. Moreover, as the blockage ratio decreases, the total drag coefficient of the entire train decreases linearly. When the blockage ratio decreases from 0.253 to 0.121, the total drag coefficient of the entire train decreases by 46.2%, with the head carriage and tail carriage drag coefficients decreasing by 23.3% and 32.7%, respectively, while the drag coefficient of the middle carriage remains nearly unchanged. The percentage of the total drag coefficient contributed by the head carriage decreases from 51.1% to 40.9%, while the percentage for the tail carriage increases from 47.0% to 56.6%. These findings enhance understanding of ETT fluid dynamics and performance.

Keywords

maglev train / evacuated tube transportation (ETT) / blockage ratio / shock wave / aerodynamic load

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Zun-di Huang, Cheng Peng, Zheng-wei Chen, Zi-jian Guo, Ning Chang, Wei-kai Kong, Zhan-hao Guo, Jia-hao Lu. Shock wave behavior and aerodynamic load in maglev-equipped evacuated tubes: Effects of blockage ratio. Journal of Central South University, 2025, 32(12): 4902-4921 DOI:10.1007/s11771-025-6150-9

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References

[1]

Lin Y-t, Qin Y, Wu Jet al.. Impact of high-speed rail on road traffic and greenhouse gas emissions [J]. Nature Climate Change, 2021, 11(11): 952-957

[2]

Teo H C, Fung T K, Song X Pet al.. Increasing contribution of urban greenery to residential real estate valuation over time [J]. Sustainable Cities and Society, 2023, 96: 104689

[3]

Peng C, Chen Z-w, Guo Z-jet al.. Reconstruction of failed pressure measurement points on high-speed maglev train under crosswinds [J]. Measurement, 2025, 253: 117709

[4]

Huang F-y, Xu A, Zhang Jet al.. A passive flow control method with winglets installed on leeward side of a high-speed train for improvement of anti-overturning performance under crosswinds [J]. Physics of Fluids, 2025, 37(3): 035180

[5]

Wang J-y, Cao S-q, Zhang R-zet al.. Uncertainty of typhoon extreme wind speeds in Hong Kong integrating the effects of climate change [J]. Physics of Fluids, 2024, 368087126

[6]

Chen Z-w, Guo Z-j, Che Z-xet al.. Evaluation of active leeward side air-blowing layout on the lateral aerodynamic performance of high-speed trains in crosswinds environment: Sustainable and safe operation strategy [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2024, 247: 105695

[7]

Huang Z-d, Zhou Z-b, Chang Net al.. Aerodynamic features of high-speed maglev trains with different marshaling lengths running on a viaduct under crosswinds [J]. Computer Modeling in Engineering & Sciences, 2024, 1401975-996

[8]

Chen Z-w, Guo Z-h, Ni Y-qet al.. Parametric investigation of suction actuators on the tunnel wall for alleviating pressure interactions in high-speed maglev train/tunnel system [J]. Tunnelling and Underground Space Technology, 2025, 156: 106239

[9]

Zhang D, Zhou F-r, Ao W Ket al.. Optimization of cargo distribution for high-speed freight trains to overcome strong wind conditions [J]. Engineering Applications of Computational Fluid Mechanics, 2024, 18: 2434008

[10]

Wang L, Liu T-h, Chen Z-wet al.. Evaluation of the slipstream in different regions around a train with respect to different nose lengths: A comparison study [J]. Journal of Central South University, 2024, 31(9): 3295-3311

[11]

Zhang J, Zhang M-l, Han Set al.. A novel asymptotic linear method for micro-pressure wave mitigation at high-speed maglev tunnel exit: A case study with various open ratios on tunnel hoods [J]. Journal of Central South University, 2025, 32(5): 1955-1972

[12]

Xu B, Liu T-h, Shi Xet al.. Mitigation of crosswind effects on high-speed trains using vortex generators [J]. Physics of Fluids, 2024, 36(7): 075199

[13]

Hu X, Deng Z-g, Zhang J-wet al.. Aerodynamic behaviors in supersonic evacuated tube transportation with different train nose lengths [J]. International Journal of Heat and Mass Transfer, 2022, 183: 122130

[14]

Huang Z-d, Peng C, Chen Z-wet al.. Compressible effects of a supersonic evacuated tube maglev train at various Mach numbers [J]. Physics of Fluids, 2024, 3612126126

[15]

Niu J-q, Wang Y-m, Zhang Let al.. Numerical analysis of aerodynamic characteristics of high-speed train with different train nose lengths [J]. International Journal of Heat and Mass Transfer, 2018, 127: 188-199

[16]

Zhang J, Xu A, Huang F-yet al.. A novel vortex control method for improving anti-overturning performance of a high-speed train with leeward airbag structures under crosswinds [J]. Physics of Fluids, 2024, 36(6): 065146

[17]

Han S, Wang F, Zhang J. Influence of inflow conditions on simplified heavy vehicle wake [J]. Physics of Fluids, 2024, 364045151

[18]

Rossel P, Mossi M. Swissmetro: A revolution in the highspeed passenger transport system [C]. Proceedings of the 1st Swiss Conference on Transport Research, 2001

[19]

Mossi M, Sibilla S. Swissmetro: Aerodynamic drag and wave effects in tunnels under partial vacuum [C]. Proceedings of the 17th International Conference on Magnetically Levitated Systems and Linear Drives, 2002156-163

[20]

Sakamoto S, Watanabe H, Takizawa Tet al.. Development of a MAGLEV superconducting magnet for the Yamanashi test line in Japan: Vibration characteristics and analysis for design [J]. IEEE Transactions on Applied Superconductivity, 1997, 7(3): 3791-3796

[21]

Sakowski M. The next contender in high speed transport elon musks hyperloop [J]. The Journal of Undergraduate Research at the University of Illinois at Chicago, 2017, 9(2): 43-47

[22]

BALLARD D R. Vacuum-railway [P/OL]. Google Patents, USA, 1920.

[23]

GODDARD E C. Vacuum tube transportation system [P/OL]. Google Patents, USA, 1950.

[24]

GODDARD E C. Apparatus for vacuum tube transportation [P/OL]. Google Patents, USA, 1949.

[25]

Brockie N J W, Baker C J. The aerodynamic drag of high speed trains [J]. Journal of Wind Engineering and Industrial Aerodynamics, 1990, 34(3): 273-290

[26]

Raghunathan R S, Kim H D, Setoguchi T. Aerodynamics of high-speed railway train [J]. Progress in Aerospace Sciences, 2002, 38(67): 469-514

[27]

Schetz J A. Aerodynamics of high-speed trains [J]. Annual Review of Fluid Mechanics, 2011, 23: 371-414

[28]

Chen Z-w, Guo Z-h, Ni Y-qet al.. A suction method to mitigate pressure waves induced by high-speed maglev trains passing through tunnels [J]. Sustainable Cities and Society, 2023, 96: 104682

[29]

Chen Z-w, Zeng G-z, Ni Y-qet al.. Reducing the aerodynamic drag of high-speed trains by air blowing from the nose part: Effect of blowing speed [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2023, 238: 105429

[30]

Guo Z-j, Chen Z-w, Che Z-xet al.. Using leeward air-blowing to alleviate the aerodynamic lateral impact of trains at diverse yaw angles [J]. Physics of Fluids, 2024, 36(4): 045121

[31]

Chen X-d, Zhong S, Liu T-het al.. Experimental study on the synergy of sweeping jets on the afterbody flows of a slanted-base cylinder [J]. Aerospace Science and Technology, 2024, 148: 109096

[32]

Zhang J, Wang Y-h, Wang Y-get al.. Pressure wave characteristics in high-speed maglev tunnels with various arch lattice-shell lengths inside hoods [J]. Physics of Fluids, 2025, 372026125

[33]

Zhang J, Guo B-j, Wang Y-get al.. Influence of arch lattice-shell hood length on micro-pressure waves at portal of a high-speed maglev tunnel [J]. Physics of Fluids, 2024, 369096105

[34]

Zhang J, Ding Y-s, Wang Y-het al.. A novel bionic Coleoptera pantograph deflector for aerodynamic drag reduction of a high-speed train [J]. Journal of Central South University, 2023, 3062064-2080

[35]

Huo X-set al.. Prediction of train aerodynamic coefficients under diverse shape parameters and yaw angles [J]. Journal of Computational Design and Engineering, 2025, 12(3): 184-203

[36]

Huo X-s, Liu T-h, Chen Z-wet al.. Aerodynamic characteristics of double-connected train groups composed of different kinds of high-speed trains under crosswinds: A comparison study [J]. Alexandria Engineering Journal, 2023, 64: 465-481

[37]

Tan X-m, Yang Z-g. Investigation on aerodynamic noise reduction for snow-plough of high-speed train [J]. Journal of Central South University, 2022, 29(5): 1735-1748

[38]

Zeng G-z, Li Z-w, Huang Set al.. Influence of wind and rain environment on operational safety of intercity train running on the viaduct [J]. International Journal of Numerical Methods for Heat & Fluid Flow, 2023, 33(4): 1584-1608

[39]

Zhou Z-w, Xia C, Shan X-zet al.. Numerical study on the aerodynamics of the evacuated tube transportation system from subsonic to supersonic [J]. Energies, 2022, 15(9): 3098

[40]

Niu J-q, Sui Y, Yu Q-jet al.. Numerical study on the impact of Mach number on the coupling effect of aerodynamic heating and aerodynamic pressure caused by a tube train [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2019, 190: 100-111

[41]

KEMPER H. Suspension railway with wheelless vehicles that are guided floating along iron rails by means of magnetic fields [P]. Google Patents, USA, 1934.

[42]

Armağan K. The fifth mode of transportation: Hyperloop [J]. Journal of Innovative Transportation, 2020, 1: 1105

[43]

Zhang Y-p, Oster D, Kumada Met al.. Key vacuum technology issues to be solved in evacuated tube transportation [J]. Journal of Modern Transportation, 2011, 19(2): 110-113

[44]

Oster D, Kumada M, Zhang Y-p. Evacuated tube transport technologies (ET3)tm: A maximum value global transportation network for passengers and cargo [J]. Journal of Modern Transportation, 2011, 19(1): 42-50

[45]

Zhang Y P, Li S S, Wang M X. Main vacuum technical issues of evacuated tube transportation [J]. Physics Procedia, 2012, 32: 743-747

[46]

Ma J-q, Zhou D-j, Zhao L-fet al.. The approach to calculate the aerodynamic drag of maglev train in the evacuated tube [J]. Journal of Modern Transportation, 2013, 21(3): 200-208

[47]

Li W-h, Liu T-h, Martinez-Vazquez Pet al.. Influence of blockage ratio on slipstreams in a high-speed railway tunnel [J]. Tunnelling and Underground Space Technology, 2021, 115: 104055

[48]

Zhou P, Zhang J-y, Li T. Effects of blocking ratio and Mach number on aerodynamic characteristics of the evacuated tube train [J]. International Journal of Rail Transportation, 2020, 8(1): 27-44

[49]

Le T T G, Jang K S, Lee K Set al.. Numerical investigation of aerodynamic drag and pressure waves in hyperloop systems [J]. Mathematics, 2020, 8(11): 1973

[50]

Kim T K, Kim K H, Kwon H B. Aerodynamic characteristics of a tube train [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2011, 99121187-1196

[51]

Sui Y, Niu J-q, Ricco Pet al.. Impact of vacuum degree on the aerodynamics of a high-speed train capsule running in a tube [J]. International Journal of Heat and Fluid Flow, 2021, 88: 108752

[52]

Meng S, Li X-l, Chen Get al.. Numerical simulation of slipstreams and wake flows of trains with different nose lengths passing through a tunnel [J]. Tunnelling and Underground Space Technology, 2021, 108: 103701

[53]

Chen X-y, Zhao L-f, Ma J-qet al.. Aerodynamic simulation of evacuated tube maglev trains with different streamlined designs [J]. Journal of Modern Transportation, 2012, 20(2): 115-120

[54]

BAO Shi-jie, WANG Bo, ZHANG Yong, et al. Preliminary study of aerodynamic characteristics of high temperature superconducting maglev-evacuated tube transport system [J]. DEStech Transactions on Engineering and Technology Research, 2017: 15646. DOI: https://doi.org/10.12783/dtetr/icia2017/15646.

[55]

Jia W-g, Wang K, Cheng A-pet al.. Air flow and differential pressure characteristics in the vacuum tube transportation system based on pressure recycle ducts [J]. Vacuum, 2018, 150: 58-68

[56]

Sui Y, Yu Q-j, Niu J-qet al.. Flow characteristics and aerodynamic heating of tube trains in choked/unchoked flow: A numerical study [J]. Journal of Thermal Science, 2023, 32(4): 1421-1434

[57]

Xu J, Li J, Li G-cet al.. Design and preliminary prototype test of a high temperature superconducting suspension electromagnet [J]. IEEE Transactions on Applied Superconductivity, 2015, 25(2): 3600406

[58]

Nøland J K. Prospects and challenges of the hyperloop transportation system: A systematic technology review [J]. IEEE Access, 2021, 9: 28439-28458

[59]

Flankl M, Wellerdieck T, Tüysüz Aet al.. Scaling laws for electrodynamic suspension in high-speedtransportation [J]. IET Electric Power Applications, 2018, 12(3): 357-364

[60]

Chaidez E, Bhattacharyya S P, Karpetis A N. Levitation methods for use in the hyperloop high-speed transportation system [J]. Energies, 2019, 12(21): 4190

[61]

Gilbert T, Baker C, Quinn A. Aerodynamic pressures around high-speed trains: The transition from unconfined to enclosed spaces [J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2013, 2276609-622

[62]

Qian B-s, Li L-q, Zhong Set al.. Dynamic transition of flow field for accelerating and decelerating process of evacuated tube train [J]. Physics of Fluids, 2025, 37(3): 036107

[63]

Li T, Zhang X-h, Jiang Yet al.. Aerodynamic design of a subsonic evacuated tube train system [J]. Fluid Dynamics & Materials Processing, 2020, 161121-130

[64]

Cho M, Oh Y, Ryu Jet al.. Numerical study on tube shape influence on aerodynamic drag in an evacuated tube transport system [J]. International Journal of Aeronautical and Space Sciences, 2025, 26(5): 2120-2134

[65]

Hemida H, Krajnović S. LES study of the influence of a train-nose shape on the flow structures under cross-wind conditions [J]. Journal of Fluids Engineering, 2008, 130(9): 091101

[66]

Shur M L, Spalart P R, Strelets M Ket al.. A hybrid RANS-LES approach with delayed-DES and wallmodelled LES capabilities [J]. International Journal of Heat and Fluid Flow, 2008, 2961638-1649

[67]

Niu J-q, Wang Y-m, Chen Z-wet al.. Numerical study on the effect of braking plates on flow structure and vehicle and enhanced braking of vehicles inside and outside tunnels [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2021, 214: 104670

[68]

Guo Z-j, Chen X-d, Liu T-het al.. Turbulence approaches for numerical predictions of vehiclelike afterbody vortex flows [J]. International Journal of Mechanical Sciences, 2024, 283: 109667

[69]

Guo Z-j, Guo Z-h, Chen Z-wet al.. On the active flow control in maglev train safety under crosswinds: Analysis of leeward suction and blowing action [J]. Physics of Fluids, 2024, 36(9): 095130

[70]

Han S, Xiang N-s, Huang F-yet al.. On reducing high-speed train slipstream using vortex generators [J]. Physics of Fluids, 2025, 375055115

[71]

Che Z-x, Chen Z-w, Ni Y-qet al.. Research on the impact of air-blowing on aerodynamic drag reduction and wake characteristics of a high-speed maglev train [J]. Physics of Fluids, 2023, 3511115138

[72]

Muld T W, Efraimsson G, Henningson D S. Flow structures around a high-speed train extracted using proper orthogonal decomposition and dynamic mode decomposition [J]. Computers & Fluids, 2012, 57: 87-97

[73]

Zhang J, Li J-j, Tian H-qet al.. Impact of ground and wheel boundary conditions on numerical simulation of the high-speed train aerodynamic performance [J]. Journal of Fluids and Structures, 2016, 61: 249-261

[74]

Alff F, Brummund U, Clauss Wet al.. Experimental investigation of the combustion process in a supersonic combustion ramjet (SCRAMJET) [M], 1994629638

[75]

Hönig R, Theisen D, Fink Ret al.. Experimental investigation of a SCRAMJET model combustor with injection through a swept ramp using laser-induced fluorescence with tunable excimer lasers [J]. Symposium (International) on Combustion, 1996, 26(2): 2949-2956

[76]

Silnikov M V, Chernyshov M V, Uskov V N. Analytical solutions for Prandtl–Meyer wave-oblique shock overtaking interaction [J]. Acta Astronautica, 2014, 99: 175-183

[77]

Abbett M. Mach disk in underexpanded exhaust plumes [J]. AIAA Journal, 1971, 9(3): 512-514

[78]

Ben-Dor G, Takayama K, Needham C E. The thermal nature of the triple point of a Mach reflection [J]. The Physics of Fluids, 1987, 30(5): 1287-1293

[79]

Hekiri H, Emanuel G. Shock wave triple-point morphology [J]. Shock Waves, 2011, 21(6): 511-521

[80]

Halliday D, Resnick R, Walker J. Fundamentals of physics [M], 2013

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