Analysis of the hot fuel return characteristics for a fuel thermal management system with multiple temperature limit points
YANG Shiyu, LIN Yuanfang, YU Haiyu, XU Xianghua, LIANG Xingang
Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, School of Aerospace Engineering, Tsinghua University, Beijing 100084, China
Abstract:[Objective] With the rapid increase in aircraft thermal loads and the flight Mach number, combustion fuel and ram air can no longer effectively cool the fuel thermal management system (FTMS). Recently, hot fuel return has become an important way to enhance the cooling capacity of the FTMS, and the regulation of the hot fuel return flow has garnered significant attention. However, the impact of the hot fuel return flow on the limited temperatures still requires systematic research, and the thermal load limits of the FTMS have not been explored. Therefore, in this study, the hot fuel return characteristics of the FTMS with multiple temperature limit points were investigated to improve system performance. Considering the scalability of the models, a steady-state simulation model for the FTMS was developed using Python based on the thermal fluid network method and solved using the damped Newton method to guarantee the convergence of the flow and heat transfer iterations. In addition, the program was verified via experiments to guarantee its accuracy. A complete FTMS flow path was designed, and a standard condition was set for subsequent calculations. First, the temperature variations of the temperature limit points with the hot fuel return flow were calculated under the standard condition. Subsequently, by increasing the airborne thermal load under the standard condition, the maximum airborne thermal load that the system can withstand under the action of the hot fuel return (airborne thermal load limit) was investigated, and the occurrence condition of the limit state was analyzed. Lastly, the maximum total thermal load for normal operations (total thermal load limit) was explored under the standard condition, and the condition for reaching the total thermal load limit was discussed by changing the aeroengine thermal load. The increase of the hot fuel return flow may not decrease all the limited temperatures, even inducing the outlet temperature rises of the fuel tank and the hot fuel return valve. Excessive or insufficient hot fuel return flow may result in the overtemperature of the FTMS, and there exists a change interval for it to meet the multiple temperature limitations. For the outlet temperatures of the airborne thermal load heater and the fuel nozzle, there exists a critical flow of the hot fuel return, which indicates that the two outlet temperatures will not change once the hot fuel return flow reaches the critical flow. Combined with the outlet temperature rises of the fuel tank and the hot fuel return valve, when the hot fuel return flow surpasses its critical value, further increasing the hot fuel return flow will only increase the risk of system overtemperature. Moreover, the FTMS exhibits similar hot fuel return characteristics under different airborne thermal loads, and the critical flow of the hot fuel return rises with increasing airborne thermal load. However, as the critical flow of the hot fuel return rises slower than the lower boundary of the limited interval for the hot fuel return flow with the increased airborne thermal load, the airborne thermal load limit corresponds to the critical state when the size of the limited interval for the hot fuel return flow mutates into zero, and the lower boundary of the limited interval of the hot fuel return flow is just the system critical flow of the hot fuel return in this condition. Furthermore, the calculation results reveal that when the outlet temperatures of the airborne thermal load heater and the fuel nozzle reach their respective limit values in the limit state, the total thermal load limit can be achieved. In addition, to fully utilize the total thermal load limit of the FTMS under the action of an unreasonable aeroengine thermal load, the intermediate loop in this paper can be used to achieve the mutual transfer of the system thermal loads by the heat exchangers and refrigerating devices. As long as the total thermal load does not exceed the total thermal load limit, the FTMS can ensure that the system works normally through the intermediate loop to adjust the new aeroengine thermal load transferred into the fuel. This study explains the temperature variation regularity of multiple temperature limit points and the thermal load limits under the effect of the hot fuel return, providing a reference for the design of the thermal load distribution and the regulation strategy of the hot fuel return flow.
杨世宇, 林远方, 于海育, 徐向华, 梁新刚. 多温度限制点条件下燃油热管理系统热回油特性分析[J]. 清华大学学报(自然科学版), 2024, 64(5): 841-851.
YANG Shiyu, LIN Yuanfang, YU Haiyu, XU Xianghua, LIANG Xingang. Analysis of the hot fuel return characteristics for a fuel thermal management system with multiple temperature limit points. Journal of Tsinghua University(Science and Technology), 2024, 64(5): 841-851.
[1]VAN HEERDEN A S J, JUDT D M, JAFARI S, et al. Aircraft thermal management:practices, technology, system architectures, future challenges, and opportunities[J]. Progress in Aerospace Sciences, 2022, 128:100767. [2]赵甜, 贺克伦, 陈群. 飞行器热管理系统的热量流建模及优化[J]. 工程热物理学报, 2021, 42(9):2448-2454. ZHAO T, HE K L, CHEN Q. Heat current modeling and optimization of aircraft thermal management systems[J]. Journal of Engineering Thermophysics, 2021, 42(9):2448-2454. (in Chinese) [3]唐玫, 吉洪湖, 胡娅萍. 超声速飞行器综合热管理系统优化设计[J]. 推进技术, 2022, 43(1):50-60. TANG M, JI H H, HU Y P. Optimal design of comprehensive thermal management system for supersonic vehicle[J]. Journal of Propulsion Technology, 2022, 43(1):50-60. (in Chinese) [4]QIN J, ZHANG S L, BAO W, et al. Thermal management method of fuel in advanced aeroengines[J]. Energy, 2013, 49:459-468. [5]GERMAN B J. Tank heating model for aircraft fuel thermal systems with recirculation[J]. Journal of Propulsion and Power, 2012, 28(1):204-210. [6]DOMAN D B. Fuel flow control for extending aircraft thermal endurance part I:underlying principles[C]//AIAA Guidance, Navigation, and Control Conference. San Diego, CA:AIAA, 2016:1621. [7]HUANG G P, DOMAN D B, OPPENHEIMER M W, et al. Topology optimization of a fuel thermal management system[C]//AIAA Aviation 2019 Forum. Dallas, TX:AIAA, 2019:3471. [8]DOMAN D B. Fuel flow topology and control for extending aircraft thermal endurance[J]. Journal of Thermophysics and Heat Transfer, 2018, 32(1):35-50. [9]WANG B, GONG X L, ZHANG Z D, et al. Modelling and understanding deposit formation of hydrocarbon fuels from the coke characteristics[J]. Fuel, 2022, 319:123745. [10]SIGTHORSSON D, OPPENHEIMER M W, DOMAN D B. Flight endurance enhancement via thermal management system control subject to multiple limitations[C]//AIAA Scitech 2020 Forum. Orlando, FL:AIAA, 2020:1825. [11]HUANG P G, DOMAN D B. Thermal management of single- and dual-tank fuel-flow topologies using an optimal control strategy[J]. Journal of Thermal Science and Engineering Applications, 2018, 10(4):041019. [12]DOMAN D B. Fuel flow control for extending aircraft thermal endurance part II:Closed loop control[C]//AIAA Guidance, Navigation, and Control Conference. San Diego, CA:AIAA, 2016:1622. [13]SIGTHORSSON D, OPPENHEIMER M W, DOMAN D B. N-tank thermal management system framework for thermal endurance enhancement[C]//AIAA SCITECH 2022 Forum. San Diego, CA:AIAA, 2022:0750. [14]HUANG G P, DOMAN D B, ROTHENBERGER M J, et al. Dimensional analysis, modeling, and experimental validation of an aircraft fuel thermal management system[J]. Journal of Thermophysics and Heat Transfer, 2019, 33(4):983-993. [15]李波, 张东辉, 洪黎. 航空发动机燃油热管理系统仿真及试验验证[J]. 燃气涡轮试验与研究, 2019, 32(5):29-34.LI B, ZHANG D H, HONG L. Simulation and experimental verification of aero-engine fuel thermal management system[J]. Gas Turbine Experiment and Research, 2019, 32(5):29-34. (in Chinese) [16]于磊, 梁兴壮, 李国强. 飞机热管理系统动态仿真[J]. 飞机设计, 2021, 41(3):9-13.YU L, LIANG X Z, LI G Q. Dynamic simulation of aircraft thermal management system[J]. Aircraft Design, 2021, 41(3):9-13. (in Chinese) [17]康思昭, 奚修智, 李波, 等. 基于Flowmaster的航空发动机燃油系统温度仿真及分析[J]. 航空动力学报, 2020, 35(4):722-731.KANG S Z, XI X Z, LI B, et al. Simulation and analysis of temperature of aviation engine fuel system based on Flowmaster software[J]. Journal of Aerospace Power, 2020, 35(4):722-731. (in Chinese) [18]LIU Y, LIN G P, GUO J H, et al. Dynamic prediction of fuel temperature in aircraft fuel tanks based on surrogate[J]. Applied Thermal Engineering, 2022, 215:118926. [19]SIGTHORSSON D, OPPENHEIMER M W, DOMAN D B. Aircraft thermal endurance optimization (part I):Using a mixed dual tank topology and robust temperature regulation[C]//AIAA Scitech 2019 Forum. San Diego, CA:AIAA, 2019:1662. [20]《离心泵设计基础》编写组. 离心泵设计基础[M]. 北京:机械工业出版社, 1974.〈Centrifugal pump design basis〉 writing group. Centrifugal pump design basis[M]. Beijing:China Machine Press, 1974. (in Chinese) [21]樊思齐, 李华聪, 樊丁. 航空发动机控制[M]. 上册. 西安:西北工业大学出版社, 2008.FAN S Q, LI H C, FAN D. Aeroengine control[M]. Part I. Xi'an:Northwestern Polytechnical University Press, 2008. (in Chinese) [22]MILLER D S. Internal flow systems:design and performance prediction[M]. 2nd ed. Houston:BHRA, 1990. [23]沈维道, 童钧耕. 工程热力学[M]. 5版. 北京:高等教育出版社, 2016.SHEN W D, TONG J G. Engineering thermodynamics[M]. 5th ed. Beijing:Higher Education Press, 2016. (in Chinese) [24]李俊梅. 高等传热学[M]. 北京:北京工业大学出版社, 2020.LI J M. Advanced heat transfer[M]. Beijing:Beijing University of Technology Press, 2020. (in Chinese) [25]HAN R B, XU X H, LIANG X G. Simplification method of thermal-fluid network with circulation reflux based on matrix operation[J]. Science China Technological Sciences, 2020, 63(7):1202-1211. [26]柯艺芬. 非线性方程组迭代解法[M]. 北京:电子工业出版社, 2021.KE Y F. Iterative solution of nonlinear equations[M]. Beijing:Publishing House of Electronics Industry, 2021. (in Chinese) [27]林远方. 航空发动机燃油综合热管理模拟实验台设计与特性研究[D]. 北京:清华大学, 2023.LIN Y F. Design of experimental simulation bench and characteristic research on integrated thermal management of aeroengine fuel system[D]. Beijing:Tsinghua University, 2023. (in Chinese) [28]张春本. 超临界压力下碳氢燃料的流动与换热特性研究[D]. 北京:北京航空航天大学, 2011.ZHANG C B. Investigation of flow and heat transfer characteristics of hydrocarbon fuel at supercritical pressures[D]. Beijing:Beihang University, 2011. (in Chinese) [29]贾洲侠. 超临界压力碳氢燃料在竖直细圆管内流动与换热研究[D]. 北京:北京航空航天大学, 2015.JIA Z X. Flow and heat transfer characteristics of hydrocarbon fuel in vertical miniature tube at supercritical pressures[D]. Beijing:Beihang University, 2015. (in Chinese) [30]徐志英, 庄达民. 飞机燃油系统热管理研究[J]. 航空动力学报, 2007, 22(11):1833-1837.XU Z Y, ZHUANG D M. Research of heat management for aircraft fuel system[J]. Journal of Aerospace Power, 2007, 22(11):1833-1837. (in Chinese) [31]WANG J X, LI Y Z, LIU X D, et al. Recent active thermal management technologies for the development of energy-optimized aerospace vehicles in China[J]. Chinese Journal of Aeronautics, 2021, 34(2):1-27. [32]刘铭. 国外飞机综合环境控制系统[J]. 航空科学技术, 2004, (2):28-31.LIU M. Aircraft integrated environmental control system[J]. Aeronautical Science and Technology, 2004, (2):28-31. (in Chinese) [33]MAALOUF S, ISIKVEREN A, DUMOULIN P, et al. High-temperature heat pump for aircraft engine oil cooling[J]. Journal of Thermophysics and Heat Transfer, 2019, 33(2):472-482.