Browse > Article
http://dx.doi.org/10.6108/KSPE.2022.26.5.024

Cubic Equation of State Analysis for the Prediction of Supercritical Thermodynamic Properties of Hydrocarbon Fuels with High Critical Compressibility Factor  

Jae Seung Kim (Department of Aerospace Engineering, Seoul National University)
Jiwan, Seo (Department of Aerospace Engineering, Seoul National University)
Kyu Hong Kim (Department of Aerospace Engineering, Seoul National University)
Publication Information
Journal of the Korean Society of Propulsion Engineers / v.26, no.5, 2022 , pp. 24-34 More about this Journal
Abstract
In order to predict the cooling performance of a regenerative cooling channel using hydrocarbon fuel operating in the supercritical region, it is essential to predict the thermodynamic properties. In this study, a comparative analysis was performed on two-parameter equations of state (SRK(Soave-Redlich-Kwong), PR(Peng-Robinson) equations of state) and three-parameter equations of state (RK-PR equations of state) to appropriately predict density and specific heat according to the critical compressibility factor of polymer hydrocarbons. Representatively, n-dodecane fuel with low critical compressibility factor and JP-10 fuel with high critical compressibility factor were selected, and an appropriate equation of state was presented when predicting the thermodynamic properties of the two fuels. Finally, the prediction results of density and specific heat were compared and verified with NIST REFPROP data.
Keywords
Hydrocarbon Fuel; Supercritical Fluid; 3-parameter Equation of State; Thermal Properties; Cooling Channel;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Jung, K., Kim, Y. and Kim, N., "Real-fluid modeling for turbulent mixing processes of n-dodecane spray jet under superciritical pressure," International Journal of Automotive Technology, Vol. 21, No. 2, pp. 397-406, 2020.   DOI
2 Sengers, J.V., Kayser, R.F., Peters, C.J. and White, H.J., Equations of state for fluids and fluid mixtures, 1st ed., Elsevier, Amsterdam, North Holland, Netherlands, Ch. 4, 2000.
3 Soave, G., "Equilibrium constants from a modified Redlich-Kwong equation of state," Chemical engineering science, Vol. 27, No. 6, pp. 1197-1203, 1972.   DOI
4 Feng, Y., Qin, J., Zhang, S., Bao, W., Cao, Y. and Huang, H., "Modeling and analysis of heat and mass transfers of supercritical hydrocarbon fuel with pyrolysis in mini-channel," International Journal of Heat and Mass Transfer, Vol. 91, pp. 520-531, 2015.   DOI
5 Kim, S.K., Choi, H.S. and Kim, Y., "Thermodynamic modeling based on a generalized cubic equation of state for kerosene/LOx rocket combustion," Combustion and Flame, Vol. 159, No. 3, pp. 1351-1365, 2012.   DOI
6 Cismondi, M., and Mollerup, J., "Development and application of a three-parameter RK- PR equation of state," Fluid Phase Equilibria, Vol. 232, No. 1-2, pp. 74-89, 2005.   DOI
7 Kim, J.S., Seo, J., Han, D. and Kim, K.H., "Prediction of thermochemical and transport properties of hydrocarbon aviation fuel in supercritical state with thermal decomposition," Fuel, Vol. 325, p. 124805, 2022.
8 Lemmon, E.W., Huber, M.L. and McLinden, M.O., "NIST reference fluid thermodynamic and transport properties-REFPROP," NIST standard reference database-23-v7, 2002.
9 Tassin, N.G., Reartes, S.R., Zabaloy, M.S. and Cismondi, M., "Modeling of solid-fluid equilibria of pure n-alkanes and binary methane+ n-alkane systems through predictive correlations," The Journal of Supercritical Fluids, Vol. 166, p. 105028, 2020.
10 Cotabarren, N.S., Velez, A.R., Hegel, P.E. and Pereda, S., "Prediction of volumetric data in supercritical reactors," Journal of Chemical & Engineering Data, Vol. 61, No. 8, pp. 2669-2675, 2016.   DOI
11 Kang, J. and Sung, H.G., "Kerosene/GOx dynamic combustion characteristics in a mixing layer under supercritical conditions using the LES-FPV approach," Fuel, Vol. 203, pp. 579-590, 2017.   DOI
12 Kim, S.K. and Kim, Y., "Thermophysical properties of dimethyl ether at near-and supercritical pressures using generalized cubic EoS," The Journal of Supercritical Fluids, Vol. 92, pp. 16-23, 2014.
13 McBride, B.J., "NASA Glenn coefficients for calculating thermodynamic properties of individual species. National Aeronautics and Space Administration," John H. Glenn Research Center at Lewis Field, 2002.
14 Wang, H., Xu, R., Wang, K., Bowman, C.T., Hanson, R.K., Davidson, D.F. and Egolfopoulos, F.N., "A physics-based approach to modeling real-fuel combustion chemistry-I. Evidence from experiments, and thermodynamic, chemical kinetic and statistical considerations," Combustion and Flame, Vol. 193, pp. 502-519, 2018.   DOI
15 Xu, R., Wang, K., Banerjee, S., Shao, J., Parise, T., Zhu, Y. and Wang, H., "A physics-based approach to modeling realfuel combustion chemistry-II. Reaction kinetic models of jet and rocket fuels," Combustion and Flame, Vol. 193, pp. 520-537, 2018.   DOI
16 Bessieres, D., Saint-Guirons, H., and Daridon, J.L., "High pressure measurement of n-dodecane heat capacity up to 100 MPa. Calculation from equations of state," International Journal of High Pressure Research, Vol. 18, No. 1-6, pp. 279-284, 2000.   DOI
17 Good, W.D., "Department of energy bartlesville ok bartlesville energy technology center," Thermodynamics of organic compounds, 1980.
18 Wang, Y., Li, S. and Dong, M., "Numerical study on heat transfer deterioration of supercritical n-decane in horizontal circular tubes," Energies, Vol. 7, No. 11, pp. 7535-7554, 2014.   DOI
19 Assael, M.J., Trusler, J.M. and Tsolakis, T.F., Thermophysical properties of fluids: an introduction to their prediction (Vol. 1), World Scientific, 1996.
20 Soave, G., Barolo, M. and Bertucco, A., "Estimation of high-pressure fugacity coefficients of pure gaseous fluids by a modified SRK equation of state," Fluid Phase Equilibria, Vol. 91, No. 1, pp. 87-100, 1993.    DOI
21 Zhang, S., Feng, Y., Jiang, Y., Qin, J., Bao, W., Han, J. and Haidn, O.J., "Thermal behavior in the cracking reaction zone of scramjet cooling channels at different channel aspect ratios," Acta Astronautica, Vol. 127, pp. 41-56, 2016.   DOI
22 Zhang, S., Feng, Y., Zhang, D., Jiang, Y., Qin, J. and Bao, W., "Parametric numerical analysis of regenerative cooling in hydrogen fueled scramjet engines," International Journal of Hydrogen Energy, Vol. 41, No. 25, pp. 10942-10960, 2016.   DOI
23 Li, Y., Xie, G. and Sunden, B., "Flow and thermal performance of supercritical n-decane in double-layer channels for regenerative cooling of a scramjet combustor," Applied Thermal Engineering, Vol. 180, p. 115695, 2020.
24 Lee, K.W., Oh, M.K., Ham, H.C., Hwang, K.Y. and Cho, H.H., "Heat transfer characteristics under recirculation zone of ramjet combustor," Journal of the Korean Society of Propulsion Engineers, Vol. 11, No. 6, pp. 9-17, 2007.
25 Dong, D., Lu, Y., Yuan, Y. and Fan, X., "Development of a radiative heating facility for studying flow and heat transfer in hydrocarbon-cooled structures," Review of Scientific Instruments, Vol. 89, No. 6, p. 064901, 2018.
26 Wang, Y., Cheng, Y., Li, M., Jiang, P.X. and Zhu, Y., "Experimental and theoretical modeling of the effects of pressure and secondary reactions on pyrolysis of JP-10 at supercritical pressures," Fuel, Vol. 306, p. 121737, 2021.
27 Yu, G., Li, J.G., Chang, X.Y., Chen, L.H. and Sung, C.J., "Investigation of kerosene combustion characteristics with pilot hydrogen in model supersonic combustors," Journal of Propulsion and Power, Vol. 17, No. 6, pp. 1263-1272, 2001.   DOI
28 Qin, Z., Gong, S., Zhang, X., Bi, Q., Liu, Z. and Liu, G., "Experimental Measurement of JP-10 Density at 267 to 873 K under Pressures up to 6.00 MPa," Journal of Chemical & Engineering Data, Vol. 64, No. 1, pp. 218-225, 2018.
29 Zhang, Q., Liu, X. and He, M., "Isobaric heat capacities of exo-tetrahydrodicyclopentadiene at temperatures from 323 K to 523 K and pressures up to 6 MPa," Fluid Phase Equilibria, Vol. 434, pp. 102-106, 2017.   DOI
30 Gong, S., Zhang, X., Bi, Q., Liu, Z. and Liu, G., "Experimental Measurement of JP-10 Viscosity at 242.7-753.3 K under Pressures up to 6.00 MPa," Journal of Chemical & Engineering Data, Vol. 62, No. 11, pp. 3671-3678, 2017.   DOI
31 Assael, M.J., Trusler, J.M. and Tsolakis, T.F., Thermophysical properties of fluids: an introduction to their prediction, Vol. 1, World Scientific, 1996.
32 Zhu, H., Battistoni, M., Ningegowda, B.M., Rahantamialisoa, F.N.Z., Yue, Z., Wang, H. and Yao, M., "Thermodynamic modeling of trans/supercritical fuel sprays in internal combustion engines based on a generalized cubic equation of state," Fuel, Vol. 307, p. 121894, 2022.
33 Jaubert, J.N. and Privat, R., "SAFT and cubic EoS: Type of deviation from ideality naturally predicted in the absence of BIPs. Application to the modelling of athermal mixtures," Fluid Phase Equilibria, Vol. 533, p. 112924, 2021.