×

Adjustment of a mathematical model of gas fuel combustion taking into account computational domain geometry refinement. (English. Russian original) Zbl 07818396

J. Appl. Mech. Tech. Phys. 63, No. 7, 1126-1137 (2022); translation from Vychisl. Mekh. Splosh. Sred 13, No. 1, 60-72 (2020).
Summary: The work sets up the problem of gaseous fuel combustion in a ground-based gas turbine engine combustion chamber and presents the results of a numerical study. It is assumed that the gas-air mixture is a single-phase multicomponent reactive flow. The Reynolds averaged Navier-Stokes equations were used to describe the turbulent flow in the combustion chamber. The SST turbulence model was used to close the averaged system. A combined EDM/FRC combustion model was used to determine the formation rate of mixture components. Based on comparing the results of preliminary calculations and experiments, it was suggested that the difference in obtained data is due to manufacturing tolerance and the heat-protective coating on the walls of the flame tube. In order to confirm this suggestion, the geometry of the computational domain was changed based on the air flow rate obtained in the aerodynamic tests. Then the parameters of the mathematical model were adjusted both on the initial and on the refined geometry. A technique was proposed for adjusting the mathematical model taking into account three parameters: the turbulent Prandtl and Schmidt numbers and the coefficient limiting the burning rate. The mathematical model was verified by results of experiments on three design versions of the flame tube. The results of calculations using refined data showed that a change in geometry made it possible to more correctly describe combustion in a turbulent flow: the results on average nonuniformity of the temperature field nearly coincide with the experimental data. By adjusting the geometry of the computational domain, it was possible to establish the location and magnitude of the maximum nonuniformity of temperature. The developed adjusted mathematical model for describing the combustion of gaseous fuel in the combustion chamber of a gas turbine engine is suitable for further optimization of the combustion chamber design.

MSC:

76-XX Fluid mechanics
80-XX Classical thermodynamics, heat transfer
Full Text: DOI

References:

[1] Inozemtsev, A.A., Nikhamkin, M.A., and Sandratskiy, V.L., Osnovy konstruirovaniya aviatsionnykh dvigateley i energeticheskikh ustanovok, T. 2: Kompressory. Kamery sgoraniya. Forsazhnye kamery. Turbiny. Vykhodnye ustroistva (Designing Bases of Aircraft Engines and Power Plants. Vol. 2. Compressors. Combustion Chambers. Afterburner. Turbine. Exhaust Arrangement), Moscow: Mashinostroenie, 2008.
[2] Zyrianov, A.V., Senyushkin, N.S., and Kharitonov, V.F., Development of diagnostics method for gas turbine combustors on the base of mathematical modeling of their operation, Vestn. UGATU, 2012, vol. 16, no. 2 (47), pp. 98-105.
[3] Korneyev, V.N., Teoriya gazoturbinnykh dvigatelei (The Gas Turbine Engines Theory), Moscow: Izdat. Resheniya, 2019.
[4] Chigrin, V.S. and Belova, S.E., Konstruktsiya kamer sgoraniya gazoturbinnykh dvigatelei (The Design of Gas Turbine Engines Combustion Chambers), Rybinsk: RGATA, 2004.
[5] Pugach, K. S., Computer simulation for trimming exit temperature profile from low emission combustor, Komp’yut. Issled. Model., 6, 901-909 (2014)
[6] Orlov, M., Zubrilin, I., Matveev, S., and Tsybizov, Yu., Operational development of exit temperature profile of multiburner combustion chamber with using of computational fluid dynamics, Izv. Samar. Nauch. Tsentra RAN, 2013, vol. 15, no. 6 (4), pp. 905-910.
[7] Lefebvre, A. H., Gas Turbine Combustion (1985), New York: McGraw-Hill, New York
[8] Kofman, V.M., Research of the influence of the gas flow temperature field irregularity in the gas turbine engine combustion chamber outlet on the integral characteristics of the flow and its results averaging, Vestn. UGATU, 2012, vol. 16, no. 1 (46), pp. 10-23. http://journal.ugatu.ac.ru/index.php/Vestnik/article/view/725. Accessed April 6, 2020.
[9] Loytsyanskiy, L.G., Mekhanika zhidkosti i gaza (The Fluid Mechanics), Moscow: Gostekhizdat, 1950.
[10] Rozhdestvenskiy, B.L. and Yanenko, N.N., Sistemy kvazilineinykh uravnenii i ikh prilozheniya k gazovoi dinamike (Quasilinear Equations Systems and their Applications to Gas Dynamics), Moscow: Nauka, 1968. · Zbl 0177.14001
[11] Boltzmann, L., Vorlesungen über Gastheorie (Lectures on Gas Theory), Leipzig: J.A. Barth, 1896.
[12] Molchanov, A.M., Matematicheskoe modelirovaniye giperzvukovykh gomogennykh i geterogennykh neravnovesnykh techenii pri nalichii slozhnogo radiatsionno-konvektivnogo teploobmena (Mathematical Modelling of Hypersound Homogeneous and Heterogeneous Nonequilibrium Currents at Presence Complex Radiation-Convective Heat Exchange), Moscow: MAI, 2017.
[13] Garnier, E.; Adams, N.; Sagaut, P., Large Eddy Simulation for Compressible Flows (2009), Dordrecht: Springer, Dordrecht · Zbl 1179.76005 · doi:10.1007/978-90-481-2819-8
[14] Toro, E. F., Riemann Solvers and Numerical Methods for Fluid Dynamics (1999), Berlin: Springer, Berlin · Zbl 0923.76004 · doi:10.1007/978-3-662-03915-1
[15] Prandtl, L. and Tietjens, O., Hydro- and aeromechanic. B. 2. Bewegung Reibender Flüssigkeiten und technische Anwendungen (Hydro- and Aeromechanics, Vol. 2: Movement of Liquids with Friction and Technical Appendices), Berlin: Springer, 1931. · Zbl 0003.08101
[16] Landau, L.D. and Lifshitz, E.M., Teoreticheskaya fizika. T. VI. Gidrodinamika (Course of Theoretical Physics, Vol. 6: Fluid Mechanics), Moscow: Fizmatlit, 1988; New York: Pergamon, 1987.
[17] Fabrikant, N.Ya., Aerodinamika, Ch. 1 (Aerodynamics), Moscow: Tekh.-Teor. Liter., 1949, Vol. 1.
[18] Wilcox, D.C., in Proceedings of the 24th Aerospace Sciences Meeting, Reno, NV, January 6-9,1986, pp. 15-17. doi:10.2514/6.1986-29
[19] Menter, F.R., in Proceedings of the 23rd Fluid Dynamics, Plasma Dynamics, and Lasers Conference, Orlando, FL, July 6-9,1993, pp. 1993-2906. doi:10.2514/6.1993-2906
[20] Wilcox, D. C., Turbulence Modeling for CFD (1994), Canada: DCW Industries, Canada
[21] Reynolds, O., Papers on Mechanical and Physical Subjects (1901), Cambridge: Cambridge Univ. Press, Cambridge · JFM 32.0034.01
[22] Kutsenko, Yu.G., Chislennye metody otsenki emissionnykh kharakteristik kamer sgoraniya gazoturbinnykh dvigatelei (Numerical Methods of an Issue Characteristics Estimation GTE Combustion Chamber), Yekaterinburg: UrO RAN, 2006.
[23] Magnussen, B.F. and Hjertager, B.H., On mathematical modeling of turbulent combustion with special emphasis on soot formation and combustion, in Proceedings of the International Symposium on Combustion, 1977, vol. 16, pp. 719-729. doi:10.1016/S0082-0784(77)80366-4
[24] Curran, H. J.; Gaffuri, P.; Pitz, W. J.; Westbrook, C. K., A comprehensive modelling study of n-heptane oxidation, Combust. Flame, 114, 149-177 (1998) · doi:10.1016/S0010-2180(97)00282-4
[25] Baevich, V. Ya., Detailed kinetic mechanism of the combustion of homogeneous gaseous mixtures with participation of oxygen-containing oxidants, Russ. Chem. Rev., 56, 411-427 (1987) · doi:10.1070/RC1987v056n05ABEH003280
[26] Westbrook, C. K.; Dryer, P. L., Simplified reaction mechanisms for the oxidation of hydrocarbon fuels in flames, Combust. Sci. Tech., 27, 31-43 (1981) · doi:10.1080/00102208108946970
[27] Bedarev, I. A.; Fedorov, A. V., Comparative analysis of three mathematical models of hydrogen ignition, Combust. Explos. Shock Waves, 42, 19-26 (2006) · doi:10.1007/s10573-006-0002-1
[28] ANSYS 17.2 Help. www.cadfem-cis.ru. Accessed April 6, 2020.
[29] Gritsenko, E.A., Danil’chenko, V.P., Lukachev, S.V., Reznik, V.E., and Tsybizov, Yu.I., Konvertirovanie avia-tsionnykh GTD v gazoturbinnye ustanovki nazemnogo primeneniya (Conversion of Aircraft Gas Turbine Engines to Gas Turbine Installations for Ground Use), Samara: SNTs RAN, 2004.
[30] Sokolov, V. D.; Yagudin, S. V., Flow coefficient of axisymmetric tapering nozzles with an arbitrary contour, Uch. Zap., TsAGI, 5, 117-121 (1975)
[31] Godunov, S.K., The difference method for the numerical calculation of discontinuous solutions of the equations of hydrodynamics, Mat. Sb., 1959, vol. 47 (89), no. 3, pp. 271-306. · Zbl 0171.46204
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.