Journal of Shanghai Jiao Tong University ›› 2022, Vol. 56 ›› Issue (8): 1089-1100.doi: 10.16183/j.cnki.jsjtu.2021.014
• Aeronautics and Astronautics • Previous Articles Next Articles
WANG Xiaoliang1(), YAO Xiaosong2, GAO Shuang2, LIU Guohua2
Received:
2021-01-09
Online:
2022-08-28
Published:
2022-08-26
CLC Number:
WANG Xiaoliang, YAO Xiaosong, GAO Shuang, LIU Guohua. Aerodynamic Drag Characteristics of Ultra-Low Orbit Satellites[J]. Journal of Shanghai Jiao Tong University, 2022, 56(8): 1089-1100.
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URL: https://xuebao.sjtu.edu.cn/EN/10.16183/j.cnki.jsjtu.2021.014
Tab.1
Comparison of spherical drag coefficient theory and DSMC calculation results
s | 理论阻 力系数 | 大气密度×1011/ (kg·m-3) | 温度T/K | 截面积/m2 | 来流速度/ (m·s-1) | DSMC 阻力/N | DSMC 阻力系数 | 误差/% |
---|---|---|---|---|---|---|---|---|
5 | 2.3155 | 3.11 | 976 | 0.0314159 | 3742.732 | 0.00001510 | 2.2077845 | -4.65 |
6 | 2.2521 | 3.11 | 976 | 0.0314159 | 4491.278 | 0.00002126 | 2.1586418 | -4.15 |
7 | 2.2094 | 3.11 | 976 | 0.0314159 | 5239.824 | 0.00002857 | 2.1312483 | -3.54 |
8 | 2.1788 | 3.11 | 976 | 0.0314159 | 5988.371 | 0.00003692 | 2.1086354 | -3.22 |
9 | 2.1559 | 3.11 | 976 | 0.0314159 | 6736.917 | 0.00004644 | 2.0956899 | -2.79 |
10 | 2.1381 | 3.11 | 976 | 0.0314159 | 7485.463 | 0.00005711 | 2.0875266 | -2.37 |
Tab.2
Comparison of plate drag coefficient theory and DSMC calculation results
s | 理论阻力系数 | 温度T/K | 截面积/m2 | 来流速度/(m·s-1) | DSMC阻力/N | DSMC阻力系数 | 误差/% |
---|---|---|---|---|---|---|---|
7 | 2.2736 | 976 | 0.04 | 5239.367901 | 0.00003693 | 2.1640565 | -4.81806 |
8 | 2.2372 | 976 | 0.04 | 5987.849029 | 0.00004777 | 2.1431898 | -4.20214 |
10 | 2.1872 | 976 | 0.04 | 7484.811287 | 0.00007353 | 2.1112999 | -3.47019 |
Tab.4
Comparison of calculation results and experimental results of 70° blunt cone
迎角/(°) | 实验轴向力系数 | 实验法向力系数 | DSMC计算的 轴向力系数 | DSMC计算的 法向力系数 | 轴向力系数 误差/% | 法向力系数 误差/% |
---|---|---|---|---|---|---|
0 | 1.657000000 | 0 | 1.728949582 | -0.000761428 | 4.34216 | — |
5 | 1.627769041 | 0.085193605 | 1.713213399 | 0.080889053 | 5.16964 | -5.05270 |
10 | 1.613559729 | 0.149462371 | 1.687071032 | 0.153224730 | 4.46260 | 2.51726 |
15 | 1.567301431 | 0.212901910 | 1.639862485 | 0.227159406 | 4.51641 | 6.69674 |
20 | 1.530410268 | 0.292043509 | 1.576663946 | 0.302286986 | 2.51391 | 3.50752 |
30 | 1.402148382 | 0.435407757 | 1.421332598 | 0.457364525 | -0.74490 | 5.04281 |
Tab.7
Atmosphere parameters at different altitudes
参数 | 轨道高度/km | |||
---|---|---|---|---|
150 | 200 | 250 | 300 | |
速度/(m·s-1) | 7817.23 | 7788.43 | 7758.97 | 7729.83 |
分子个数 | 5.19×1016 | 7.18×1015 | 1.91×1015 | 6.51×1014 |
温度/K | 634.39 | 854.56 | 941.33 | 976.01 |
N2分子个数占比 | 0.603 | 0.407 | 0.255 | 0.147 |
N2分子直径/m | 3.64×10-10 | 3.64×10-10 | 3.64×10-10 | 3.64×10-10 |
N2分子质量/kg | 4.65116×10-26 | 4.65116×10-26 | 4.65116×10-26 | 4.65116×10-26 |
O原子个数占比 | 0.397 | 0.593 | 0.745 | 0.853 |
O原子直径/m | 1.73×10-10 | 1.73×10-10 | 1.73×10-10 | 1.73×10-10 |
O原子质量/kg | 2.65781×10-26 | 2.65781×10-26 | 2.65781×10-26 | 2.65781×10-26 |
Tab.9
Drag and drag coefficients of satellites of different shapes
外形 | 体积/m3 | 侧面积/m2 | 截面积/m2 | 压差阻力/N | 剪切阻力/N | 总阻力/N | 体积阻力 系数 | 横截面阻力 系数 |
---|---|---|---|---|---|---|---|---|
圆柱 | 3.926991 | 15.70796 | 0.785398 | 1.25×10-2 | 6.98×10-3 | 1.95×10-2 | 1.01927693 | 3.2303 |
八面 | 3.535534 | 15.30734 | 0.707107 | 1.12×10-2 | 6.92×10-3 | 1.81×10-2 | 1.01422448 | 3.3288 |
六面 | 3.247595 | 15 | 0.649519 | 1.03×10-2 | 6.72×10-3 | 1.70×10-2 | 1.00931267 | 3.4078 |
四面 | 2.5 | 14.14214 | 0.5 | 7.89×10-3 | 6.26×10-3 | 1.41×10-2 | 0.99701373 | 3.6730 |
Tab.10
Calculation results of satellite with different tapers
r/l | 压差阻力/N | 剪切阻力/N | 总阻力/N | 横截面积 阻力系数 | 以2.1030为 参考的比率/% | 计算表面 网格数 |
---|---|---|---|---|---|---|
1/0.25 | 0.1577×10-1 | 0.9369×10-3 | 0.1671×10-1 | 2.1030 | 100.0000 | 9544 |
1/0.5 | 0.1342×10-1 | 0.3164×10-2 | 0.1658×10-1 | 2.0866 | 99.2220 | 8228 |
1/0.6 | 0.1239×10-1 | 0.4193×10-2 | 0.1658×10-1 | 2.0866 | 99.2220 | 4104 |
1/0.7 | 0.1131×10-1 | 0.5198×10-2 | 0.1651×10-1 | 2.0778 | 98.8031 | 4734 |
1/0.8 | 0.1032×10-1 | 0.6169×10-2 | 0.1649×10-1 | 2.0753 | 98.6834 | 4664 |
1/0.9 | 0.9388×10-2 | 0.7081×10-2 | 0.1647×10-1 | 2.0728 | 98.5637 | 5356 |
1/1 | 0.8529×10-2 | 0.7904×10-2 | 0.1643×10-1 | 2.0677 | 98.3244 | 4140 |
1/1.1 | 0.7761×10-2 | 0.8670×10-2 | 0.1643×10-1 | 2.0677 | 98.3244 | 6094 |
1/1.2 | 0.7059×10-2 | 0.9342×10-2 | 0.1640×10-1 | 2.0640 | 98.1448 | 6110 |
1/1.3 | 0.6428×10-2 | 0.9939×10-2 | 0.1637×10-1 | 2.0602 | 97.9653 | 6948 |
1/1.4 | 0.5885×10-2 | 0.1050×10-1 | 0.1639×10-1 | 2.0627 | 98.0850 | 6910 |
1/1.5 | 0.5384×10-2 | 0.1096×10-1 | 0.1634×10-1 | 2.0564 | 97.7858 | 4336 |
1/1.6 | 0.4939×10-2 | 0.1138×10-1 | 0.1632×10-1 | 2.0539 | 97.6661 | 5100 |
1/1.7 | 0.4553×10-2 | 0.1180×10-1 | 0.1635×10-1 | 2.0577 | 97.8456 | 7836 |
1/1.8 | 0.4185×10-2 | 0.1210×10-1 | 0.1628×10-1 | 2.0489 | 97.4267 | 10332 |
1/2 | 0.3600×10-2 | 0.1265×10-1 | 0.1625×10-1 | 2.0451 | 97.2472 | 5238 |
1/3 | 0.1908×10-2 | 0.1428×10-1 | 0.1618×10-1 | 2.0363 | 96.8282 | 10880 |
1/4 | 0.1204×10-2 | 0.1497×10-1 | 0.1617×10-1 | 2.0350 | 96.7684 | 3502 |
1/5 | 0.8374×10-3 | 0.1522×10-2 | 0.1606×10-1 | 2.0212 | 96.1101 | 5638 |
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