2017 2nd International Conference on Industrial Aerodynamics (ICIA 2017) ISBN: 978-1-60595-481-3 Influence of Ground Effect on Aerodynamic Performance of Maglev Train Shi Meng and Dan Zhou ABSTRACT Three-dimensioned steady compressible Reynolds-averaged equation and RNG k-ε equation turbulence model were used to simulate the aerodynamic performance of the two-carriage maglev train underground effect and research the effect of different ground and track conditions on the aerodynamic performance of maglev train. Numerical results were in agreement with experiment data through the wind tunnel test and the deviation between them is below 10%. The results indicated that compared with the moving track condition, the amplitude of pressure mutation at the bottom of train near the nose is smaller, the base pressure at non-streamline part of the train had little difference and the streamline part of tail car increase slightly under stationary condition. The moving ground or track made the aerodynamic drag of head car increase and the aerodynamic drag of tail car decrease, compared with different stationary ground or track conditions, the lift of the head car decreased by 12.82% and the tail lift increased by 16.27% maximally. The change of ground and track conditions has little effect on the lift of the train and air side force of the head train, the stationary ground had a great influence on the lateral force of the tail car, which decreased by 30.41% maximally. INTRODUCTION The maglev train is running at a high speed close to the ground with larger length slenderness ratio, and the distance between the bottom of train and the top of track is very narrow. When the train run at a high speed, the air between train and track is affected by the ground and track, as well as the air between train and ground, Funding: Study on the aerodynamic and drag reduction of medium-speed magnetic levitation (2016YFB1200601-B14) School of Traffic & Transportation Engineering, No.68 South Shaoshan Road, Changsha, Hunan, China 664
so that the ground effect is particularly prominent, ever-present ground effect is the key factor of influence on the aerodynamic performance of maglev trains. LI and ZHAI (in 2001) used a two-dimensional maglev train model to study the crosswind stability of different railway tracks and compared it with rail train [1]. GE et al. (in 2005) simulated the outflow field of the maglev train under different crosswind, and the velocity and pressure distribution characteristics of the top and side of the high-speed maglev train are obtained as well as the wake flow characteristics of the train [2]. SHU et al. (in 2006) simulated the flow field around of five different head type train and analyzed the influence of streamline head on the aerodynamic performance of the train [3] ; then with the evaluation parameters of integral length slenderness ratio, the influence law about streamline head horizontal projection shape and longitudinal symmetrical surface projection on the aerodynamic drag were taken into account [4]. The dynamic response of the maglev ground transportation system had a great influence on maglev train operation safety and quality, the orbit design and cost, the riding comfort depended on factors such as vehicle response, humidity and noise [5]. XIA et al. used the numerical simulation method for the research of ground effect about high-speed train model wind tunnel test, the train aerodynamic force and the change rule of the flow field around the train were compared under moving ground, stationary ground and different ground clearances [6]. The influence of ground effect on wake of a high-speed train was researched by detached-eddy simulation [7]. SUN et al. studied the influence of ground effect on the aerodynamic forces of high-speed trains at different side angles and relative height between the train to the ground [8]. The research on aerodynamic performance of maglev train is mostly focused on the train aerodynamic shape, and there is less research on the ground effect about maglev trains, The TR08 maglev train was used for research in this paper, and the simulation was used for the research that ground effect of maglev train ran at a high speed under crosswind. This paper studied the influence on the aerodynamic and flow field of the maglev train under different ground and track conditions. 1 Numerical simulation method The fluent software was used to simulate the aerodynamic performance of the maglev train under the crosswind condition. When the speed of train was 400 km/h, the Ma reached 0.33, the compressibility of the air need to be taken into account. Therefore, the entire flow field is solved by the steady state, viscous, compressible n-s equation and the standard k-epsilon model of turbulent flow. 1.1 Calculation model As shown in figure 1, a 1:1 scaled TR08 maglev train composed of two 665
identical cars was used as a calculation model. the length of the model were 12.96H, where H was the height of the model(it was 4.2m here). The rail gap was 10mm. The whole computing basin is divided by structural grid. The are we care about were encrypted, such as the larger curvature, the rail gap and the area near the ground. In order to accurately simulate the effect of the attachment layer, it was to ensure that the averaged y+ was approximately 100, the grid of train surface and boundary layer were shown in fig.2. The total number of the grid was about 40 million. The working condition were shown in table 1. Figure 1. Model of maglev train. Figure 2. Grid of train surface and boundary layer. Code of working condition W1 W2 W3 W4 TABLE 1. CONDITION DEFINED. Speed of Speed of maglev crosswind/(m s -1 ) train/(km h -1 ) Ground and track Moving ground, moving track 20 400 Stationary ground, moving track Moving ground, stationary track Stationary ground, stationary track 1.2 Computational domain and boundary conditions The dimensions of the computational domain and boundary conditions are shown in fig.3 Synthesis wind methods was used to simulation aerodynamic performance of the maglev train under crosswind conditions. The face ABCD and BCGF was considered velocity inlet boundary conditions, the face EFGH and AEHD was considered pressure outlet boundary conditions, the boundary conditions of ground and track were set according to different working conditions. Figure 3. Computational domain. 666
1.3 Definition of aerodynamic coefficient In order to analysis conveniently, the various aerodynamic coefficients are defined as follows: C D v S 2 d (0.5 ) (1) C C v S 2 c (0.5 ) (2) C L v S 2 l (0.5 ) (3) C p v 2 p (0.5 ) (4) Where ρ = 1.225 kg/m3; ν is the mean reference speed of the incoming flow, is 112.896 m/s; S, the reference area, is 11.827 m 2 ; and D is the train drag, C is air side force of car, L is train lift, Δp is the pressure difference of the flow field between here and infinity; Cd is drag coefficient, Cc is the air side force coefficient of car, Cl is lift coefficient, Cp is the pressure coefficient. 2 ALGORITHM VALIDATION In order to verify the accuracy of the numerical simulation algorithm used in this paper, the wind tunnel test was carried out in the wind tunnel of China Aerodynamics Research and Development Center. The speed of the flow is 60 m/s, the sideslip angle of the experiment is 5.15, 10.22, 15.14 and 19.73. Fig.4 shows that the curve of the numerical simulation results and the experimental data with the changed side slip, It can be seen from the figure that the numerical simulation results are consistent with the experimental data, and the maximum deviation of the two is not more than 10%, which meets the engineering requirements. (a) Cl (b) Cc Figure 4. Comparison between results and calculation results aerodynamic force. 667
3 RESULTS AND DISCUSSION 3.1 Airflow velocity between the bottom of the train and top of the track In order to analyze the air flow between the train and the track, different cross sections were intercepted to observe airflow velocity distribution between the bottom of the train and top of the track, as shown in figure 5. X1 and X6 are the endpoints of the bottom of the train respectively, X3 and X4 are the position that streamline and non-streamline intersect respectively, the air between the bottom of the train and top of the track are greatly influenced by the airflow at streamlined position, so the section X2 is analyzed between X1 and X3 sections whose specific coordinate value is 0.22H, the section X5 was intercepted in the symmetrical position of the tail car, whose coordinate value is 12.73H. Figure 5. The diagram of train section. Fig.6 shows that velocity distribution between the bottom of the train and top of the track under different ground and track conditions at a travel speed of 400km/h when the wind speed is 20 m/s. At the X1 and X5 section, airflow velocity between the train and track of W2 condition is slightly larger than W1 condition, at the X2, X3 and X4 section, the two conditions were similar, and at X6 section, the airflow velocity between the train and track of W2 condition is less than W1 near the bottom of the train. At X1 to X5 section the airflow velocity between the train and track are both less than W1 and W2 condition. While in the X6 section, the airflow velocity between the train and track of W3 and W4 condition is greater than the working condition of W1 and W2. The airflow velocity between the train and track of W3 and W4 condition have the similar change rule, the airflow velocity between the train and track of W4 is slightly larger than the W3 condition at X1 and X2 sections, in the X3, X4 and X5 sections, there s not much difference, while at X6 section, the airflow velocity between the train and track of W3 is greater than the W4 condition. 668
(a)x1 (b)x2 (c)x3 (d)x4 (e)x5 (f)x6 Figure 6. Velocity distribution between the bottom of the train and top of the track under different ground and track conditions. 3.2 Pressure distribution at the bottom of the train The fig.7 shows the trains subface pressure coefficient under different ground and track conditions. As is shown in the picture, changing the ground and track condition did not have much impact on the pressure of top. The amplitude of pressure mutation at the bottom of train near the nose of head car of W1 and W2 condition is greater than that of W3 and W4, the pressure difference is not much in the non-streamline part of the whole vehicle, the pressure values are smaller at the bottom of train near the nose of tail car in the W3 and W4 condition. The fig.8 shows the Pressure contour of the bottom of train under different ground and track conditions. Compared with the working condition of W1 and W2, the negative pressure at the bottom of head car s nose increases, the negative pressure at the bottom of tail car decreases and the negative pressure on the leeward side increases in the working condition of W3 and W4. (a)top (b)bottom Figure 7. Trains subface pressure coefficient under different ground and track conditions. 669
Figure 8. Pressure contour of the bottom of train under different ground and track conditions. 3.3 Aerodynamic coefficient Table 2 shows the aerodynamic coefficient of the train. As is shown in the table, the moving ground and track make the aerodynamic drag of head car decrease and the aerodynamic drag of tail car increase, compared with different stationary ground conditions, the aerodynamic drag of head car decreases 12.82% maximally and the aerodynamic drag of tail car increases 16.27% maximally. Moving ground and track make the lift of tail car increase, the lift of head car decreases only making the ground stationary, the lift of head car increase under the condition of stationary track, the changes of lift of different ground and track conditions are all within 5% under, the change of air side force of head car is also small under different ground and track conditions. The air side force of tail car increases 4.73% in the aspect of numerical only making track stationary, while the air side force of tail car decreases 30.41% in the aspect of numerical under stationary ground. In conclusion, different ground and track conditions have great influence on the lateral force of the drag and tail vehicle. In conclusion, different ground and track conditions have great influence on the aerodynamic drag of the whole train and air side force of tail car, and the influence on the lift of the whole train and air side force of head car is small. TABLE 2. CALCULATION RESULTS FOR AERODYNAMIC COEFFICIENT UNDER DIFFERENT RAIL GAP. Working Cd Cl Cc condition Head car Tail car Head car Tail car Head car Tail car W1 0.034 0.243 1.026 0.928 0.745-0.148 W2 0.037 0.227 0.985 0.915 0.784-0.127 W3 0.039 0.230 1.066 0.916 0.767-0.155 W4 0.038 0.209 1.067 0.903 0.732-0.103 670
4 CONCLUSIONS In this paper, the ground effect of maglev train is studied by numerical simulation. The conclusions can be obtained as follows: Compared with the moving ground and track condition, the air velocity between the bottom of train and the top of the track was not affected very much only making the ground stationary, the air velocity between the bottom of train and the top of the track was not affected whether the ground is stationary under the stationary track condition, the air velocity between the bottom of train and the top of the track, and the air velocity between the train and track of stationary track condition is greater than the moving track condition only at the nose of tail car. At the stationary track condition, the amplitude of pressure mutation at the bottom of train near the nose of head car is smaller than the moving track condition, and the pressure values are smaller at the bottom of train near the nose of tail car under stationary track condition. Compared with moving track conditions, the negative pressure at the bottom of head car s nose increases, the negative pressure at the bottom of tail car decreases and the negative pressure on the leeward side increases when the track is stationary The moving ground and track make the aerodynamic drag of head car decrease and the aerodynamic drag of tail car increase, compared with different stationary ground conditions, the aerodynamic drag of head car decreases 12.82% maximally and the aerodynamic drag of tail car increases 16.27% maximally. Compared with the condition of that the ground and track are all moving, other ground and track condition have little influence on the lift of vehicle and air side force, the amplitude were all within 5%, the air side force was greatly affected by whether the ground was stationary, and decreases 30.41% maximally. REFERENCES 1. Li Ren-Xian, Zhai Wan-ming. Numerical analysis of crosswind stability of magnetically levitated trains[j]. Journal of Traffic and Transportation Engineering, 2001, 1(1): 99-101. 2. He Fei, Bi Hai-Quan, Lei Bo et al. Numerical analysis of turbulent flow around maglev train under cross wind[j]. Journal of the China Railway Society, 2005, 27(6):117-121. 3. Shu Xin-Wei, Gu Chuan-Gang, Liang Xi-feng et al. The numerical simulation on the aerodynamic performance of high speed maglev train with streamlined nose[j]. Journal of Shanghai Jiaotong University, 2006, 40(6):1034-1037. 4. Shu Xin-Wei, Gu Chuan-Gang, Liang Xi-feng et al. Numerical simulation and parameterized investigation of aerodynamic drag performances of high speed maglev trains[j]. Journal of Traffic and Transportation Engineering, 2006, 6(2):6-10. 5. Cai Y, Chen S S. Dynamic Characteristics of Magnetically-Levitated Vehicle Systems[J]. Applied Mechanics Reviews, 1997, 50(11):647-670. 6. Xia Chao, Shan Xi-Zhuang, Yang Zhi-gang et al. Influence of Ground Effect in Wind Tunnel on Aerodynamics of High Speed Train[J]. Journal of the China railway society, 2015(4):8-16. 7. Xia C, Shan X, Yang Z. Detached-Eddy Simulation of Ground Effect on the Wake of a High-Speed Train[J]. Journal of Fluids Engineering, 2017. 8. Sun Zhen-Xu, Guo Di-Long, Yao Yuan et al. Numerical Study on Ground Effect of High Speed Trains. 671