Thermodynamic and Exergo-economic Analyses of Waste Heat Recovery of a Two-shaft Turbofan Engine Using Supercritical Carbon Dioxide Brayton Cycle

Document Type : Original Article


Department of Mechanical Engineering, Engineering Faculty, Urmia University, Urmia, Iran


In this study, first-law, second-law, and exergo-economic investigations are accomplished to recover the waste heat of a two-shaft turbofan engine applying a supercritical carbon dioxide Brayton cycle. The efficacy of different operating parameters including the inlet temperature of the turbine, the pressure ratio of the compressor, and Mach number on the performance of the proposed system in terms of energy and exergy performance, exergy destruction rate, and annual levelized cost of investment have been examined. The results indicate that the energy performance of the cycle is specified as 42.94%, the second-law performance of the cycle is calculated as 85.88% and the whole power generation amount of the system is achieved to be 9806 kW. Also, the results display that among the various components of the proposed system, the maximum amount of exergy destruction occurred in the low-pressure compressor, the fan, and the mixer. It is found that by increasing the inlet temperature of the high-pressure turbine, the first-law efficiency and the second-law efficiency of the proposed cycle decrease while the total cost rate and exergy destruction rate increase. Moreover, it is inferred that the thermodynamic efficiency of the system rises when the pressure ratio of the compressor and Mach number increase. The outcomes also demonstrate that concerning the capital costs and exergy destruction costs of components, the highest amount is obtained for high-pressure turbine and recuperator, which are 326.3 $/h and 358.4 $/h, respectively.


Main Subjects

  1. Habibzadeh, A., Abbasalizadeh, M., Mirzaee, I., Jafarmadar, S. and Shirvani, H., 2023. Thermodynamic Modeling and Analysis of a Solar and Geothermal-driven Multigeneration System Using TiO2 and SiO2 Nanoparticles, Iranian (Iranica) Journal of Energy & Environment, 14(2), pp.127-138. Doi: 5829/ijee.2023.14.02.05
  2. Aghagolzadeh Silakhor, R., Jahanian, O. and Alizadeh Kharkeshi, B., 2023. Investigating a Combined Cooling, Heating and Power System from Energy and Exergy Point of View with RK-215 ICE Engine as a Prime Mover, Iranian (Iranica) Journal of Energy & Environment, 14(1), pp.65-75. Doi: 5829/ijee.2023.14.01.09
  3. Lee, J.J., 2010. Can we accelerate the improvement of energy efficiency in aircraft systems? Energy conversion and management, 51, pp.189-196. Doi: 10.1016/j.enconman.2009.09.011
  4. Turgut E., Karakoc H. and Hepbasli A., 2007. Exergy Analysis of a Turbofan Engine: Cf6-80, University of Anatoly and Ege University, Turkey.
  5. Parker R., 2009. From blue skies to green skies: engine technology to reduce the climate-change impacts of aviation, Technology Analysis & Strategic Management, 21, pp.61–78. Doi: 10.1080/09537320802557301
  6. Ranasinghe K., Guan K., Gardi A. and Sabatini R., 2019. Review of advanced low-emission technologies for sustainable aviation, Energy, 188, pp.115945. Doi: 10.1016/
  7. Dinc A. and Gharbia Y., 2020. Exergy analysis of a turboprop engine at different flight altitude and speeds using novel consideration, International Journal of Turbo & Jet-Engines, 39, pp.599-604. Doi: 10.1515/tjeng-2020-0017
  8. Aygun, H., Erkara, S. and Turan, O., 2022. Comprehensive exergo-sustainability analysis for a next generation aero engine, Energy, 239, pp.122364. Doi: 10.1016/
  9. Akdeniz, H.Y., Balli, O. and Caliskan, H., 2022. Energy, exergy, economic, environmental, energy based economic, exergoeconomic and enviroeconomic (7E) analyses of a jet fuelled turbofan type of aircraft engine, Fuel, 322, pp.124165. Doi: 10.1016/j.fuel.2022.124165
  10. Nasir, N.A.M., Saadon, S. and Abu Talib, A.R., 2018. Performance analysis of an Organic Rankine Cycle system with superheater utilizing exhaust gas of a turbofan engine, International Journal of Engineering and Technology, 7, pp.120-124. Doi: 10.14419/ijet.v7i4.13.21342
  11. Turgut, E.T., Karakoc, T.H. and Hepbasli, A., 2007. Exergetic analysis of an aircraft turbofan engine, International Journal of Energy Research, 31, pp.1383-1397. Doi: 10.1002/er.1310
  12. Kahraman, N., Tangöz, S. and Akansu, S.O., 2018. Numerical analysis of a gas turbine combustor fueled by hydrogen in comparison with jet-A fuel, Fuel, 217, pp.66-77. Doi: 10.1016/j.fuel.2017.12.071
  13. Zare, V., Khodaparast, S. and Shayan, E., 2021. Comparative thermoeconomic analysis of using different jet fuels in a turboshaft engine for aviation applications, AUT Journal of Mechanical Engineering, 5, pp.297-312. Doi: 22060/ajme.2020.17888.5877
  14. Farahani, S.D., Alibeigi, M. and Sabzehali, M.R., 2021. Energy and Exergy Analysis and Optimization of Turbofan Engine-TF30-P414, Iranian (Iranica) Journal of Energy & Environment, 12, pp.307-317. Doi:5829/ijee.2021.12.04.04
  15. Balli, O., Aras, H., Aras, N. and Hepbasli, A., 2008. Exergetic and exergoeconomic analysis of an Aircraft Jet Engine (AJE), International Journal of Exergy, 5, pp.567-581. Doi: 1504/IJEX.2008.020826
  16. Coban, K., Şöhret, Y., Colpan, C.O. and Karakoç, T.H., 2017. Exergetic and exergoeconomic assessment of a small-scale turbojet fuelled with biodiesel, Energy, 140, pp.1358-1367. Doi: 1016/
  17. Balli, O. and Karakoc, T.H., 2022. Exergetic, exergoeconomic, exergoenvironmental damage cost and impact analyses of an aircraft turbofan engine (ATFE), Energy, 256, p.124620. Doi: 1016/
  18. Sabzehali, M., Farahani, S.D. and Mosavi, A., 2022. Energy-Exergy Analysis and Optimal Design of a Hydrogen Turbofan Engine, arXiv preprint arXiv:2208.08890. Doi: 10.48550/arXiv.2208.08890
  19. Alibeigi, M. and Sabzehali, M., 2022. Energy-Environment evaluation and Forecast of a Novel Regenerative turboshaft engine combine cycle with DNN application. arXiv preprint arXiv:2209.12020. Doi: 10.48550/arXiv.2209.12020
  20. Balli, O., Caliskan, N. and Caliskan, H., 2023. Aviation, energy, exergy, sustainability, exergoenvironmental and thermoeconomic analyses of a turbojet engine fueled with jet fuel and biofuel used on a pilot trainer aircraft, Energy, 263, p.126022. Doi: 1016/
  21. Coban, K., Colpan, C.O. and Karakoc, T.H., 2017. Application of thermodynamic laws on a military helicopter engine, Energy, 140, pp.1427-1436. Doi: 1016/
  22. Akdeniz, H.Y. and Balli, O., 2022. Impact of different fuel usages on thermodynamic performances of a high bypass turbofan engine used in commercial aircraft, Energy, 238, p.121745. Doi: 1016/
  23. Klein, S.A., 2013. F-Chart Software, Engineering Equation Solver, EES Manual; Chapter 1: Getting Started, Solar Energy Laboratory, University of Wisconsin-Madison: Madison, WI, USA.
  24. El-Sayed, A.F., 2017. Aircraft propulsion and gas turbine engines. 2nd edition, CRC press. Doi: 1201/9781315156743
  25. Cengel, Y.A., Boles, M.A. and Kanoğlu, M., 2011. Thermodynamics: an engineering approach (Vol. 5, p. 445). New York: McGraw-hill.
  26. Javadi, M.A., Hoseinzadeh, S., Ghasemiasl, R., Heyns, P.S. and Chamkha, A.J., 2020. Sensitivity analysis of combined cycle parameters on exergy, economic, and environmental of a power plant, Journal of Thermal Analysis and Calorimetry, 139(1), pp.519-525. Doi: 10.1007/s10973-019-08399-y
  27. Rakopoulos, C.D. and Giakoumis, E.G., 2006. Second-law analyses applied to internal combustion engines operation, Progress in energy and combustion science, 32(1), pp.2-47. Doi: 1016/j.pecs.2005.10.001
  28. Farokhi, S., 2014. Aircraft propulsion, John Wiley & Sons. ISBN: 9781118806777
  29. Balli, O. and Caliskan, H., 2021. On-design and off-design operation performance assessments of an aero turboprop engine used on unmanned aerial vehicles (UAVs) in terms of aviation, thermodynamic, environmental and sustainability perspectives. Energy Conversion and Management, 243, p.114403. Doi: 1016/j.enconman.2021.114403
  30. Sarkar, J. and Bhattacharyya, S., 2009. Optimization of recompression S-CO2 power cycle with reheating, Energy Conversion and Management, 50, pp.1939-1945. Doi: 1016/j.enconman.2009.04.015
  31. Bejan, A. and Siems, D.L., 2001. The need for exergy analysis and thermodynamic optimization in aircraft development, Exergy, An International Journal, 1, pp.14-24. Doi: 1016/S1164-0235(01)00005-X
  32. Balli, O., Sohret, Y. and Karakoc, H.T., 2018. The effects of hydrogen fuel usage on the exergetic performance of a turbojet engine, International Journal of Hydrogen Energy, 43, pp.10848-10858. Doi: 1016/j.ijhydene.2017.12.178
  33. Bejan, A., Tsatsaronis, G. and Moran, M.J., 1995. Thermal design and optimization, John Wiley & Sons. ISBN: 9780471584674
  34. Ahmadi, P. and Dincer, I., 2011. Thermodynamic analysis and thermoeconomic optimization of a dual pressure combined cycle power plant with a supplementary firing unit, Energy Conversion and Management, 52, pp.2296-2308. Doi: 1016/j.enconman.2010.12.023
  35. Baghernejad, A. and Yaghoubi, M., 2010. Exergy analysis of an integrated solar combined cycle system, Renewable Energy, 35, pp.2157-2164. Doi: 1016/j.renene.2010.02.021
  36. Valero, A., Lozano, M.A., Serra, L., Tsatsaronis, G., Pisa, J., Frangopoulos, C. and von Spakovsky, M.R., 1994. CGAM problem: definition and conventional solution, Energy, 19, pp.279-286. Doi: 1016/0360-5442(94)90112-0
  37. Javadi, M., Hoseinzadeh, S., Ghasemiasl, R., Heyns, P.S., and Chamkha, A., 2020. Sensitivity analysis of combined cycle parameters on exergy, economic, and environmental of a power plant, Journal of Thermal Analysis and Calorimetry, 139, pp.519-525. Doi: 1007/s10973-019-08399-y
  38. Ma, Y., Morozyuk, T., Liu, M., Yan, J. and Liu, J., 2019. Optimal integration of recompression supercritical CO2 Brayton cycle with main compression intercooling in solar power tower system based on exergoeconomic approach, Applied Energy, 242, pp.1134-1154. Doi: 1016/j.apenergy.2019.03.155
  39. Sun, L., Wang, D. and Xie, Y., 2021. Energy, exergy and exergoeconomic analysis of two supercritical CO2 cycles for waste heat recovery of gas turbine, Applied Thermal Engineering, 196, pp.117337. Doi: 1016/j.applthermaleng.2021.117337
  40. Klein, S. and Nellis, G., 2011. Thermodynamics. Cambridge University Press.