{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T19:02:42Z","timestamp":1777662162633,"version":"3.51.4"},"reference-count":51,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2019,2,26]],"date-time":"2019-02-26T00:00:00Z","timestamp":1551139200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The aerospace-based heat sink is defined as a substance used for dissipating heat generated by onboard heat loads. They are becoming increasingly scarce in the thermal management system (TMS) of advanced aircraft, especially for supersonic aircraft. In the modern aircraft there are many types of heat sinks whose cooling abilities and performance penalties are usually obviously different from each other. Besides, the cooling ability and performance penalty of a single heat sink is even different under different flight conditions\u2014flight altitude, Mach number, etc. In this study, the typical heat sinks which are the fuel mass, ram air, engine fan air, skin heat exchanger, and expendable heat sink will be studied. Their cooling abilities\/capacities, and exergy penalties under different flight conditions have been systematically estimated and compared with each other. The exergy penalty presented in this paper refers to the exergy loss of aircraft caused by the extra weight, drag and energy extraction of various heat sinks. The estimation models, as well as the results and discussion have been elaborated in this paper, which can be can be used to further optimize the TMS of modern advanced aircraft, for example, the layout design of various heat sinks and the improvement the control algorithm.<\/jats:p>","DOI":"10.3390\/e21030223","type":"journal-article","created":{"date-parts":[[2019,2,27]],"date-time":"2019-02-27T11:41:03Z","timestamp":1551267663000},"page":"223","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Cooling Ability\/Capacity and Exergy Penalty Analysis of Each Heat Sink of Modern Supersonic Aircraft"],"prefix":"10.3390","volume":"21","author":[{"given":"Yu-Feng","family":"Mao","sequence":"first","affiliation":[{"name":"School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yun-Ze","family":"Li","sequence":"additional","affiliation":[{"name":"School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China"},{"name":"Advanced Research Center of Thermal and New Energy Technologies, Xingtai Polytechnic College, Xingtai 054035, China"},{"name":"Institute of Engineering Thermophysics, North China University of Water Conservancy and Electric Power, Zhengzhou 450045, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5965-1356","authenticated-orcid":false,"given":"Ji-Xiang","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kai","family":"Xiong","sequence":"additional","affiliation":[{"name":"School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jia-Xin","family":"Li","sequence":"additional","affiliation":[{"name":"School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,2,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Mahefkey, T., Yerkes, K., Donovan, B., and Ramalingam, M.L. (2004). Thermal Management Challenges for Future Military Aircraft Power Systems, SAE MOBILUS. SAE Technical Paper.","DOI":"10.4271\/2004-01-3204"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1108\/AEAT-04-2014-0042","article-title":"Challenges and opportunities for electric aircraft thermal management","volume":"86","author":"Freeman","year":"2014","journal-title":"Aircr. Eng. Aerosp. Technol."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Letlow, J.T., and Jenkins, L.C. (1998). Development of an Integrated Environmental Control System, SAE MOBILUS. SAE Technical Paper.","DOI":"10.4271\/981544"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2250","DOI":"10.1007\/BF03177487","article-title":"A numerical prediction and flight test of the transient fuel temperatures in an aircraft","volume":"21","author":"Kim","year":"2007","journal-title":"J. Mech. Sci. Technol."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Bodie, M., Russell, G., McCarthy, K., Lucas, E., Zumberge, J., and Wolff, M. (2010, January 4\u20137). Thermal Analysis of an Integrated Aircraft Model. Proceedings of the 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, FL, USA.","DOI":"10.2514\/6.2010-288"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1016\/j.enconman.2018.10.095","article-title":"A gas-atomized spray cooling system integrated with an ejector loop: Ejector modeling and thermal performance analysis","volume":"180","author":"Wang","year":"2019","journal-title":"Energy Convers. Manag."},{"key":"ref_7","unstructured":"Dooley, M., Lui, C., and Newman, R.W. (2013, January 14\u201317). Efficient Propulsion, Power, and Thermal Management Integration. Proceedings of the 49th AIAA\/ASME\/SAE\/ASEE Joint Propulsion Conference, San Jose, CA, USA."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Behbahani, A.R., Roberts, R.A., and Chandoke, A.K. (2016, January 25\u201327). Intelligent Nodal-Based Controls Technologies for Integrated Propulsion Energy Power Thermal Management Systems. Proceedings of the 52nd AIAA\/SAE\/ASEE Joint Propulsion Conference, Salt Lake City, UT, USA.","DOI":"10.2514\/6.2016-4804"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"384","DOI":"10.2514\/3.46173","article-title":"Thermal Management for a Mach 5 Cruise Aircraft Using Endothermic Fuel","volume":"29","author":"Petley","year":"1992","journal-title":"J. Aircr."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1016\/j.applthermaleng.2018.03.084","article-title":"Analysis on thermal control approach for a bare shaft of rudder in a hypersonic vehicle","volume":"137","author":"Li","year":"2018","journal-title":"Appl. Therm. Eng."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"562","DOI":"10.1016\/j.applthermaleng.2017.04.123","article-title":"Dynamic in-loop performance investigation and efficiency-cost analysis of dual heat sink thermal control system (DHS-TCS) with a sublimator for aerospace vehicles","volume":"121","author":"Zhong","year":"2017","journal-title":"Appl. Therm. Eng."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Shanmugasundaram, V., Ramalingam, M.L., and Donovan, B. (2007, January 25\u201327). Thermal Management System with Energy Storage for An Airborne Laser Power System Application. Proceedings of the 5th International Energy Conversion Engineering Conference and Exhibit, St. Louis, MO, USA.","DOI":"10.2514\/6.2007-4817"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"715","DOI":"10.1016\/j.ijheatmasstransfer.2017.06.111","article-title":"Investigation of a Gravity-immune Chip-level Spray Cooling for Thermal Protection of Laser-based Wireless Power Transmission System","volume":"114","author":"Wang","year":"2017","journal-title":"Int. J. Heat Mass Transf."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1016\/j.enconman.2018.09.010","article-title":"A hybrid cooling system combining self-adaptive single-phase mechanically pumped fluid loop and gravity-immune two-phase spray module","volume":"176","author":"Wang","year":"2018","journal-title":"Energy Convers. Manag."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Shanmugasundaram, V., Ramalingam, M., Donovan, B., and Mahefkey, T. (2006, January 26\u201329). Aircraft Based Pulsed Power System Thermal Management Options with Energy Storage. Proceedings of the 4th International Energy Conversion Engineering Conference and Exhibit, San Diego, CA, USA.","DOI":"10.2514\/6.2006-4025"},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Ashford, R., and Brown, S. (2000). F-22 Environmental Control System Thermal Management System (ECS_TMS) Flight Test Program\u2014Downloadable Constants, an Innovative Approach, SAE MOBILUS. SAE Technical Paper.","DOI":"10.4271\/2000-01-2265"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Reeve, H., and Finney, A. (2008, January 7\u201310). Probabilistic Analysis for Aircraft Thermal Management System Design and Evaluation. Proceedings of the 46th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, USA.","DOI":"10.2514\/6.2008-148"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"041003","DOI":"10.1115\/1.4026412","article-title":"Control Architecture Study Focused on Energy Savings of an Aircraft Thermal Management System","volume":"136","author":"Roberts","year":"2014","journal-title":"J. Dyn. Syst. Meas. Control"},{"key":"ref_19","unstructured":"2SAE AC-9 Aircraft Environmental Systems Committee (2002). Heat Sinks for Airborne Vehicles, SAE MOBILUS. SAE Technical Report, AIR1957."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Lui, C., Arce, E.C., Banks, C., Ho, B., Walia, P., Lee, C., and Canto, G. (2010). Potential Technology to Unclog Hot Day Operational Limit, SAE MOBILUS. SAE Technical Paper.","DOI":"10.4271\/2010-01-1788"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1226","DOI":"10.2514\/1.41966","article-title":"Catalytic Cracking and Heat Sink Capacity of Aviation Kerosene Under Supercritical Conditions","volume":"25","author":"Fan","year":"2009","journal-title":"J. Propuls. Power"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1080\/00102200500294346","article-title":"Cracking and deposition behavior of supercritical hydrocarbon aviation fuels","volume":"178","author":"EDWARDS","year":"2006","journal-title":"Combust. Sci. Technol."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1132","DOI":"10.1016\/j.fuel.2012.09.021","article-title":"Heat transfer and thermal cracking behavior of hydrocarbon fuel","volume":"103","author":"Hou","year":"2013","journal-title":"Fuel"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"55","DOI":"10.2514\/1.24336","article-title":"Additives to Improve Fuel Heat Sink Capacity in Air\/Fuel Heat Exchangers","volume":"24","author":"Wickham","year":"2008","journal-title":"J. Propuls. Power"},{"key":"ref_25","unstructured":"Aviationweek (2016). USAF Details Sixth-Gen Combat Engine Research Plan [EB\/OL], Aviationweek."},{"key":"ref_26","unstructured":"Aviationweek (2016). Three-Stream Engine Moves To New Phase [EB\/OL], Aviationweek."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Patel, H.R., and Wilson, D. (2018, January 9\u201311). Parametric Cycle Analysis of Adaptive Cycle Engine. Proceedings of the 2018 Joint Propulsion Conference, Cincinnati, OH, USA.","DOI":"10.2514\/6.2018-4521"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"766","DOI":"10.1016\/j.ijheatmasstransfer.2015.07.073","article-title":"Ammonium carbamate-based heat exchanger reactor as an endothermic heat sink for thermal management","volume":"91","author":"Johnson","year":"2015","journal-title":"Int. J. Heat Mass Transf."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"897","DOI":"10.1016\/j.applthermaleng.2017.04.126","article-title":"A thermal management system using ammonium carbamate as an endothermic heat sink","volume":"121","author":"Johnson","year":"2017","journal-title":"Appl. Therm. Eng."},{"key":"ref_30","unstructured":"Nuzum, S.R., Donovan, A., Roberts, R.A., and Wolff, M. (2016, January 4\u20138). Dynamic Modeling at a Vehicle Level of a Cryogenic Based Thermal System for a High Powered System. Proceedings of the AIAA Science and Technology Forum and Exposition, San Diego, CA, USA."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Nuzum, S.R., Roberts, R.A., and Wolff, M. (2015, January 27\u201329). Various Integrated Aerospace Systems utilizing a Cryogenic Fluid. Proceedings of the 13th International Energy Conversion Engineering Conference, Orlando, FL, USA.","DOI":"10.2514\/6.2015-4245"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1016\/j.applthermaleng.2018.04.032","article-title":"Design and evaluation of an additively manufactured aircraft heat exchanger","volume":"138","author":"Saltzman","year":"2018","journal-title":"Appl. Therm. Eng."},{"key":"ref_33","first-page":"1933","article-title":"Thermal management solutions utilizing high thermal conductivity graphite foams, Society for the Advancement of Material and Process Engineering","volume":"45","author":"Klett","year":"2000","journal-title":"Bridg. Centuries wSAMPE\u2019s Mater. Process. Technol."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Oba, D., and Gonda, Y. (2014, January 16\u201320). Fuel System with Variable Speed Pump to Improve Thermal Management Ability for Aircraft Engines. Proceedings of the ASME Turbo Expo 2014: Turbine Technical Conference and Exposition, D\u00fcsseldorf, Germany.","DOI":"10.1115\/GT2014-26809"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"496","DOI":"10.1016\/j.ijheatmasstransfer.2017.11.128","article-title":"Investigation of heat transfer mechanism of low environmental pressure large-space spray cooling for near-space flight systems","volume":"119","author":"Wang","year":"2018","journal-title":"Int. J. Heat Mass Transf."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/j.applthermaleng.2015.05.082","article-title":"Investigation of a spray cooling system with two nozzles for space application","volume":"89","author":"Wang","year":"2015","journal-title":"Appl. Therm. Eng."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1016\/j.applthermaleng.2018.02.055","article-title":"Comparative study of the heating surface impact on porous-material-involved spray system for electronic cooling\u2013an experimental approach","volume":"135","author":"Wang","year":"2018","journal-title":"Appl. Therm. Eng."},{"key":"ref_38","doi-asserted-by":"crossref","unstructured":"Deng, D.X., Pi, G., Zhang, W.X., Wang, P., and Fu, T. (2019). Numerical Study of Double-Layered Microchannel Heat Sinks with Different Cross-Sectional Shapes. Entropy, 21.","DOI":"10.3390\/e21010016"},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Ma, L., Zhao, X., Sun, H., Wu, Q., and Liu, W. (2016). Experimental study of single phase flow in a closed-loop cooling system with integrated mini-channel heat sink. Entropy, 18.","DOI":"10.3390\/e18060128"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1016\/j.enconman.2016.06.045","article-title":"Experimental investigation of the thermal control effects of phase change material based packaging strategy for on-board permanent magnet synchronous motors","volume":"123","author":"Wang","year":"2016","journal-title":"Energy Convers. Manag."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1016\/j.applthermaleng.2016.08.036","article-title":"Transient cooling effect analyses for a permanent-magnet synchronous motor with phase-change-material packaging","volume":"109","author":"Wang","year":"2016","journal-title":"Appl. Therm. Eng."},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"Jain, N., and Hencey, B.M. (2016, January 6\u20138). Increasing Fuel Thermal Management System Capability via Objective Function Design. Proceedings of the IEEE 2016 American Control Conference, Boston, MA, USA.","DOI":"10.1109\/ACC.2016.7524971"},{"key":"ref_43","doi-asserted-by":"crossref","unstructured":"Bodie, M., and Wolff, M. (2010, January 25\u201328). Robust Optimization of an Aircraft Power Thermal Management System. Proceedings of the 46th AIAA\/ASME\/SAE\/ASEE Joint Propulsion Conference & Exhibit, Nashville, TN, USA.","DOI":"10.2514\/6.2010-7086"},{"key":"ref_44","unstructured":"Deppen, T.O., Hey, J.E., Alleyne, A.G., and Fisher, T.S. (2015, January 28\u201330). A model predictive framework for thermal management of aircraft. Proceedings of the ASME 2015 Dynamic Systems and Control Conference, American Society of Mechanical Engineers, Columbus, OH, USA."},{"key":"ref_45","doi-asserted-by":"crossref","unstructured":"Dooley, M., Lui, N., Newman, R., and Lui, C. (2014). Aircraft Thermal Management-Heat Sink Challenge, SAE MOBILUS. SAE Technical Paper.","DOI":"10.4271\/2014-01-2193"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"901","DOI":"10.2514\/1.T5055","article-title":"Hardware-in-the-Loop Validation of Advanced Fuel Thermal Management Control","volume":"31","author":"Pangborn","year":"2017","journal-title":"J. Thermophys. Heat Transf."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"204","DOI":"10.2514\/1.B34240","article-title":"Tank Heating Model for Aircraft Fuel Thermal Systems with Recirculation","volume":"28","author":"German","year":"2012","journal-title":"J. Propuls. Power"},{"key":"ref_48","doi-asserted-by":"crossref","unstructured":"Grabow, R., and Kazan, T. (1996, January 17\u201320). Design of a ram air driven air cycle cooling system for fighter aircraft pods. Proceedings of the 31st Thermophysics Conference, New Orleans, LA, USA.","DOI":"10.2514\/6.1996-1907"},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1080\/08916152.2013.876461","article-title":"Study on Heat Transfer Performance of Skin Heat Exchanger","volume":"28","author":"Pang","year":"2015","journal-title":"Exp. Heat Transf."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1017\/S0001924000035314","article-title":"Evaluation of the overall fuel mass penalty of an aircraft system","volume":"79","year":"1975","journal-title":"Aeronaut. J."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1017\/S0001925900007538","article-title":"Surface Heat Exchangers","volume":"27","year":"1976","journal-title":"Aeronaut. Q."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/21\/3\/223\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T12:34:58Z","timestamp":1760186098000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/21\/3\/223"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2,26]]},"references-count":51,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2019,3]]}},"alternative-id":["e21030223"],"URL":"https:\/\/doi.org\/10.3390\/e21030223","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,2,26]]}}}