Modeling and analysis of hose-drogue aerial refueling docking process based on fluid-solid coupling simulation

YANG Yuchen; YANG Chaoyue; WANG Bin; SUO Tao; DOU Qingbo

doi:10.11883/bzycj-2024-0363

Volume 45 Issue 7

Jul. 2025

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Article Navigation > Explosion And Shock Waves > 2025 > 45(7): 071423

YANG Yuchen, YANG Chaoyue, WANG Bin, SUO Tao, DOU Qingbo. Modeling and analysis of hose-drogue aerial refueling docking process based on fluid-solid coupling simulation[J]. Explosion And Shock Waves, 2025, 45(7): 071423. doi: 10.11883/bzycj-2024-0363

Citation:

YANG Yuchen, YANG Chaoyue, WANG Bin, SUO Tao, DOU Qingbo. Modeling and analysis of hose-drogue aerial refueling docking process based on fluid-solid coupling simulation[J]. Explosion And Shock Waves, 2025, 45(7): 071423. doi: 10.11883/bzycj-2024-0363

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Modeling and analysis of hose-drogue aerial refueling docking process based on fluid-solid coupling simulation

doi: 10.11883/bzycj-2024-0363

YANG Yuchen^{1, 2
,},
YANG Chaoyue^{1, 4},
WANG Bin³,
SUO Tao^{1, 4},
DOU Qingbo^{1, 4
,
,}

1.
School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, Shaanxi, China
2.
AVIC Chengdu Aircraft Design and Research Institute, Chengdu 610073, Sichuan, China
3.
Strength Design Institute, AVIC the First Aircraft Institute, Xi’an 710089, Shaanxi, China
4.
National Key Laboratory of Strength and Structural Integrity, Xi’an 710072, Shaanxi, China

Received Date: 2024-09-23
Rev Recd Date: 2025-03-03

Available Online: 2025-03-04

Publish Date: 2025-07-05

Abstract

Abstract

The hose-drogue aerial refueling process involves the complex coupling of aerodynamic force, fuel flow, and flexible structure deformation. Solving these interactions requires advanced simulation techniques and significant computational resources, which posed challenges to the accuracy and safety of practical implementations. A novel fluid-solid coupling model and methodology integrating aerodynamic loads, wake vortex effects, hose flexibility, airflow and internal fuel flow were developed to analyze structural deformation of hose-drogue assembly during docking and fuel transfer phases, overcoming limitations of traditional kinetic equation modeling. The aerodynamic forces of the paradrogue were obtained by performing separate CFD modeling on the paradrogue and conducting steady-state calculations. Meanwhile, the stabilizing moment of the paradrogue was equivalently converted into the lateral and rotational boundary condition at the center point of the paradrogue. Subsequently, based on the Hallock-Burnham model, the analytical expressions of the aerodynamic loads on the hose-drogue assembly under the action of the wake vortex alone were derived, and the aerodynamic loads were applied to hose-drogue assembly by ABAQUS subroutine. With the proposed model, the multi-stage operational processes of hose-drogue aerial refueling including steady-state, docking-state and refueling-state were calculated. Fluid-solid coupling simulations, which were conducted through co-simulation, demonstrated excellent agreement with experimental data, particularly under the steady-state. Furthermore, the influence of fuel flow characteristics, docking parameters and flight parameters were systematically identified. The results show that the matching relationship between the docking speed and retracting acceleration is the main influencing factor of whiplash load, and the retracting acceleration is positively correlated with the magnitude of the optimally matched docking velocity. In addition, the flight parameters are the secondary influencing factors. When the fuel flow is not considered, it is established at each altitude that the higher the flight speed, the lower the whiplash load. Fuel flow dynamics acts as a disturbing factor that partially perturbs the established relationship between whiplash loads and key operational parameters. However, these disturbances do not fundamentally alter the overall trend, and therefore, analyses under specific conditions are imperative to account for the effects of the fuel flow in different situations.
- air refueling,
- hose-drogue assembly,
- fluid-solid coupling,
- co-simulation,
- influencing factors

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References

[1]	董新民, 徐跃鉴, 陈博. 自动空中加油技术研究进展与关键问题 [J]. 空军工程大学学报(自然科学版), 2008, 9(6): 1–5. DOI: 10.3969/j.issn.1009-3516.2008.06.001. DONG X M, XU Y J, CHEN B. Progress and challenges in automatic aerial refueling [J]. Journal of Air Force Engineering University (Natural Science Edition), 2008, 9(6): 1–5. DOI: 10.3969/j.issn.1009-3516.2008.06.001.
[2]	陆宇平, 杨朝星, 刘洋洋. 空中加油系统的建模与控制技术综述 [J]. 航空学报, 2014, 35(9): 2375–2389. DOI: 10.7527/S1000-6893.2014.0093. LU Y P, YANG C X, LIU Y Y. A survey of modeling and control technologies for aerial refueling system [J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(9): 2375–2389. DOI: 10.7527/S1000-6893.2014.0093.
[3]	全权, 魏子博, 高俊, 等. 软管式自主空中加油对接阶段中的建模与控制综述 [J]. 航空学报, 2014, 35(9): 2390–2410. DOI: 10.7527/S1000-6893.2014.0092. QUAN Q, WEI Z B, GAO J, et al. A survey on modeling and control problems for probe and drogue autonomous aerial refueling at docking stage [J]. Acta Aeronautica et Astronautica Sinica, 2014, 35(9): 2390–2410. DOI: 10.7527/S1000-6893.2014.0092.
[4]	HANSEN J L, MURRAY J E, CAMPOS N V. The NASA dryden AAR project: a flight test approach to an aerial refueling system[C]// Proceedings of the AIAA Atmospheric Flight Mechanics Conference. Providence, RI: AIAA, 2004. DOI: 10.2514/6.2004-4939.
[5]	宋梦实, 张帆, 黄攀峰. 位置约束下软式自主空中加油的抗干扰控制 [J]. 航空学报, 2023, 44(20): 629114. DOI: 10.7527/S1000-6893.2023.29114. SONG M S, ZHANG F, HUANG P F. Anti-disturbance control of hose-drogue autonomous aerial refueling with position constraints [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(20): 629114. DOI: 10.7527/S1000-6893.2023.29114.
[6]	EICHLER J. Dynamic analysis of an in-flight refueling system [J]. Journal of Aircraft, 1978, 15(5): 311–318. DOI: 10.2514/3.58361.
[7]	ZHU Z H, MEGUID S A. Elastodynamic analysis of low tension cables using a new curved beam element [J]. International Journal of Solids and Structures, 2006, 43(6): 1490–1504. DOI: 10.1016/j.ijsolstr.2005.03.053.
[8]	ZHU Z H, MEGUID S A. Modeling and simulation of aerial refueling by finite element method [J]. International Journal of Solids and Structures, 2007, 44(24): 8057–8073. DOI: 10.1016/j.ijsolstr.2007.05.026.
[9]	RIBBENS W, SAGGIO F, WIERENGA R, et al. Dynamic modeling of an aerial refueling hose & drogue system [C]// Proceedings of the 25th AIAA Applied Aerodynamics Conference. Miami: AIAA, 2007. DOI: 10.2514/6.2007-3802.
[10]	胡孟权, 聂鑫, 王丽明. “插头-锥管”式空中加油软管平衡拖曳位置计算 [J]. 空军工程大学学报(自然科学版), 2009, 10(5): 22–26. DOI: 10.3969/j.issn.1009-3516.2009.05.005. HU M Q, NIE X, WANG L M. Determination of hose static catenary shape in “probe-drogue” in-flight refueling system [J]. Journal of Air Force Engineering University (Natural Science Edition), 2009, 10(5): 22–26. DOI: 10.3969/j.issn.1009-3516.2009.05.005.
[11]	胡孟权, 柳平, 聂鑫, 等. 大气紊流对空中加油软管锥套运动的影响 [J]. 飞行力学, 2010, 28(5): 20–23. DOI: 10.13645/j.cnki.f.d.2010.05.004. HU M Q, LIU P, NIE X, et al. Influence of air turbulence on the movement of hose-drogue [J]. Flight Dynamics, 2010, 28(5): 20–23. DOI: 10.13645/j.cnki.f.d.2010.05.004.
[12]	RO K, BASARAN E, KAMMAN J W. Aerodynamic characteristics of paradrogue assembly in an aerial refueling system [J]. Journal of Aircraft, 2007, 44(3): 963–970. DOI: 10.2514/1.26489.
[13]	RO K, KAMMAN J W. Modeling and simulation of hose-paradrogue aerial refueling systems [J]. Journal of Guidance, Control, and Dynamics., 2010, 33(1): 53–63. DOI: 10.2514/1.45482.
[14]	RO K, KUK T, KAMMAN J. Active control of aerial refueling hose-drogue systems [C]//Proceedings of AIAA Guidance, Navigation, and Control Conference. Toronto: AIAA, 2015. DOI: 10.2514/6.2010-8400.
[15]	王海涛, 董新民, 窦和锋, 等. 软管锥套式空中加油系统建模与特性分析 [J]. 北京航空航天大学学报, 2014, 40(1): 92–98. DOI: 10.13700/j.bh.1001-5965.2014.01.011. WANG H T, DONG X M, DOU H F, et al. Dynamic modeling and characteristics analysis of hose-paradrogue aerial refueling system [J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(1): 92–98. DOI: 10.13700/j.bh.1001-5965.2014.01.011.
[16]	王海涛, 董新民, 郭军, 等. 空中加油软管锥套组合体甩鞭现象动力学建模与分析 [J]. 航空学报, 2015, 36(9): 3116–3127. DOI: 10.7527/S1000-6893.2014.0343. WANG H T, DONG X M, GUO J, et al. Dynamics modeling and analysis of hose whipping phenomenon of aerial refueling hose-drogue assembly [J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(9): 3116–3127. DOI: 10.7527/S1000-6893.2014.0343.
[17]	陈乐乐, 刘学强. 不同对接速度下软式加油管锥套运动特性数值模拟研究 [J]. 空气动力学学报, 2017, 35(1): 115–122. DOI: 10.7638/kqdlxxb-2016.0038. CHEN L L, LIU X Q. Dynamic characteristics analysis of refueling drogue at various docking velocities [J]. Acta Aerodynamica Sinica, 2017, 35(1): 115–122. DOI: 10.7638/kqdlxxb-2016.0038.
[18]	陈乐乐, 刘学强. 软式加油过程中软管鞭打现象数值模拟研究 [J]. 航空计算技术, 2016, 46(6): 56–59. DOI: 10.3969/j.issn.1671-654X.2016.06.015. CHEN L L, LIU X Q. Numerical simulation of hose whip phenomenon in hose-drogue aerial refueling [J]. Aeronautical Computing Technique, 2016, 46(6): 56–59. DOI: 10.3969/j.issn.1671-654X.2016.06.015.
[19]	张志强, 任伟, 郝毓雅. 软式空中加油对接过程锥套运动情况 [J]. 科学技术与工程, 2020, 20(8): 3337–3341. DOI: 10.3969/j.issn.1671-1815.2020.08.057. ZHANG Z Q, REN W, HAO Y Y. Drogue movement during hose-drogue aerial refueling [J]. Science Technology and Engineering, 2020, 20(8): 3337–3341. DOI: 10.3969/j.issn.1671-1815.2020.08.057.
[20]	郝毓雅, 王加亮, 韩斌. 软管式空中加油伞套摆动特性分析 [J]. 现代机械, 2019(3): 60–63. DOI: 10.13667/j.cnki.52-1046/th.2019.03.016. HAO Y Y, WANG J L, HAN B. Analysis of swing characteristics of probe and drogue aerial refueling paradrogue [J]. Modern Machinery, 2019(3): 60–63. DOI: 10.13667/j.cnki.52-1046/th.2019.03.016.
[21]	闵强. 空中加油软管甩鞭现象建模与载荷计算 [J]. 四川理工学院学报(自然科学版), 2020, 33(5): 76–82. DOI: 10.11863/j.suse.2020.05.12. MIN Q. Dynamic modeling and load calculation of hose whipping phenomenon of aerial refueling hose-drogue assembly [J]. Journal of Sichuan University of Science & Engineering (Natural Science Edition), 2020, 33(5): 76–82. DOI: 10.11863/j.suse.2020.05.12.
[22]	刘钒, 黄霞, 马率, 等. 基于MBD-CFD的软管-锥套空中加油仿真框架 [J]. 航空学报, 2023, 44(20): 628408. DOI: 10.7527/S1000-6893.2023.28408. LIU F, HUANG X, MA S, et al. Simulation framework for hose-drogue aerial refueling system based on MBD-CFD method [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(20): 628408. DOI: 10.7527/S1000-6893.2023.28408.
[23]	DOGAN A, VENKATARAMANAN S, BLAKE W. Modeling of aerodynamic coupling between aircraft in close proximity [J]. Journal of Aircraft, 2005, 42(4): 941–955. DOI: 10.2514/1.7579.
[24]	张国斌, 张青斌, 丰志伟, 等. 软式空中加油对接约束力不确定性分析 [J]. 航空学报, 2021, 42(9): 224517. DOI: 10.7527/S1000-6893.2020.24517. ZHANG G B, ZHANG Q B, FENG Z W, et al. Uncertainty analysis on binding force of hose-drogue aerial refueling [J]. Acta Aeronautica et Astronautica Sinica, 2021, 42(9): 224517. DOI: 10.7527/S1000-6893.2020.24517.
[25]	VASSBERG J C, YEH D T, BLAIR A J, et al. Evert. Numerical simulations of KC-10 wing-mount aerial refueling hose-drogue dynamics with a reel take-up system [C]//Proceedings of the 21st AIAA Applied Aerodynamics Conference. Orlando: AIAA, 2013. DOI: 10.2514/6.2003-3508.
[26]	张仕明. 软式空中加油管收放过程动力学分析与优化 [D]. 南京: 南京航空航天大学, 2014. ZHANG S M. Analysis and optimization of an aerial refueling hose & drogue system in deployment and retrieval process [D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2014.

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