Real gas, combustion and detonation, thermodynamic equilibrium, equilibrium detonation adiabat, mathematical modeling, power plants, methane-air combustible mixture, hydrocarbon fuel, extremum of thermodynamic functions
DOI: 10.34759/trd-2021-120-03
Аuthors
e-mail: dmd.lqd@gmail.com
Abstract
The article presents physico-mathematical models of equilibrium one-dimensional detonation with account for the real gas state equation. An original computational algorithm is presented for plotting an equilibrium detonation adiabat employing a simplified real gas state virial equation. Specifics of the numerical simulation algorithm implementation employing the real gas state virial equation are analyzed. Single-fluid approximation, according to which the extra additive, associated with the existence of the intermolecular interaction, appears in the equations of the real gas thermo-dynamic functions for transition from the pure gas state equation to the combustion products as a model of mixture was employed. The results of comparing the problem solution on the equilibrium parameters computing of the stoichiometric methane-air mixture combustion products at the constant specific volume and internal energy with the known literature data are presented for the developed algorithms verification. The difference was less than 1%. The perfect gases model application at high initial pressure may lead to the pressure dissimilarity from the real gas model by more than 30%. A study of equilibrium adiabat characteristics detonation products of a stoichiometric mixture of methane and air for initial pressures up to 50 atm was conducted. In this case, the perfect gas model application leads to the pressure decrease behind the detonation front up to 13%. The Chapman-Jouguet detonation velocity at the increased initial pressures may exceed the one calculated by the ideal model by more than 10%. The need to account for the properties of a real gas for detonating mixtures in the high-pressures region was confirmed based on the analysis of the numerical modeling results.
Keywords:
combination of movements, circular movements, elliptical trajectory, circular trajectory, multiples of speedReferences
Bulat P.V., Denisenko P.V., Volkov K.N. Nauchno-tekhnicheskii vestnik informatsionnykh tekhnologii, mekhaniki i optiki, 2016, vol. 16, no. 1, DOI:10.17586/2226-1494-2016-16-1-1-21
Aleksandrov V.Yu., Arefrsquo;ev K.Yu., Baskakov A.A., Ilrsquo;chenko M.A. Izvestiya vysshikh uchebnykh zavedenii. Mashinostroenie, 2017, no. 2(683), pp. 98-108.
Gidaspov V.Yu. Trudy MAI, 2013, no. 66. URL: http://trudymai.ru/eng/published.php?ID=40233
Gidaspov V.Yu. Trudy MAI, 2011, no. 49. URL: http://trudymai.ru/eng/published.php?ID=28605amp;PAGEN_2=3
Gidaspov V.Yu., Severina N.S. Nekotorye zadachi fizicheskoi gazovoi dinamiki (Some problems of physical gas dynamics), Moscow, Izd-vo MAI, 2016, 195p.
Kryukov B.G., Abdullin A.L., Nikandrova V.M., Iskhakova R.L. Trudy MAI, 2019, no. 105. URL: http://trudymai.ru/eng/published.php?ID=104166
Kryukov V.G., Abdullin A.L., Nikandrova M.V., Gasilin V.V. Trudy MAI, 2020, no. 112. URL: http://trudymai.ru/eng/published.php?ID=116335. DOI: 10.34759/trd-2020-112-6
Gidaspov V.Yu., Kononov D.S. Trudy MAI, 2019, no. 109. URL: http://trudymai.ru/eng/published.php?ID=111353. DOI: 10.34759/trd-2019-109-6
Pogosbekyan M.Yu., Sergievskaya A.L., Krupnov A.A. Trudy MAI, 2018, no. 102. URL: http://trudymai.ru/eng/published.php?ID=98822
Gidaspov V.Yu. Trudy MAI, 2015, no. 83. URL: http://trudymai.ru/eng/published.php?ID=61826
Zelrsquo;dovich Ya.B., Kompaneets A.S. Teoriya detonatsii (Detonation theory), Moscow, GITTL, 1955, 268 p.
Belov G.V. Termodinamicheskoe modelirovanie: metody, algoritmy, programmy (Thermodynamic modeling: methods, algorithms, programs), Moscow, Nauchnyi mir, 2002, pp. 64 — 71 p.
Nazyrova R.R. Trudy MAI, 2017, no. 92. URL: http://trudymai.ru/eng/published.php?ID=76946
Girshfelrsquo;der D., Kertiss Ch., Berd R. Molekulyarnaya teoriya gazov i zhidkostej (Molecular theory of gases and liquids), Moscow, Izdatelrsquo;stvo inostrannoi literatury, 1961, 929 p.
Gibbs D.V. Termodinamika, statisticheskaya mekhanika (Thermodynamics, statistical mechanics), Moscow, Nauka, 1982, 584 p.
Belov G.V. Termodinamika (Thermodynamics), Moscow, Yurait, 2016, 248 p.
Glushko V.P., Alemasov V.E. et al. Termodinamicheskie i teplofizicheskie svoistva produktov sgoraniya (Thermodynamic and thermophysical properties of combustion products), Moscow, VINITI, 1971, vol. 3, 350 p.
Gurvich L.V., Veits I.V., Medvedev V.A. et al. Termodinamicheskie svoistva individualrsquo;nykh veshchestv (Thermodynamic properties of individual substances), Moscow, Nauka, 1982, vol. 1, book 1, 495 p.
Vatolin N.A., Moiseev G.K., Trusov B.G. Termodinamicheskoe modelirovanie v vysokotemperaturnykh neorganicheskikh sistemakh (Thermodynamic modeling in high-temperature neogranic systems), Moscow, Metallurgiya, 1994, pp. 45 — 47.
Zyong Minrsquo; Dyk, Gidaspov V.Yu. Trudy MAI, 2012, no. 112. URL: http://trudymai.ru/eng/published.php?ID=116331. DOI: 10.34759/trd-2020-112-4
Meilanov R.P., Magomedov R.A. Thermodynamics in fractional calculus, Journal of Engineering physics and thermophysics, 2014, vol. 87, no. 6, pp. 1521 — 2531. DOI: 10.1007/s10891-014-1158-2
Sinyarev G.B., Vatolin N.A., Trusov B.G., Moiseev K.G. Primenenie EVM dlya termodinamicheskikh raschetov metallurgicheskikh protsessov: monografiya (The use of computers for thermodynamic calculations of metallurgical processes: monograph), Moscow, Nauka, 1982, 260 p.
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