Geodesic
Thermodynamically compatible conservation laws in the model of heat conducting radiating gas
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 1, pp. 142-151 Cet article a éte moissonné depuis la source Math-Net.Ru

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Thermodynamic compatibility of the mass, momentum, and energy conservation laws that describe the motion of heat conducting gas in the presence of radiation heat exchange is considered. The study is based on the one-velocity two-component mathematical model of continuous compressible medium with the gas and radiation components. The work uses experimental data for radiation and other experimental data of modern physics. 
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M. Ya. Ivanov. Thermodynamically compatible conservation laws in the model of heat conducting radiating gas. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 1, pp. 142-151. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_1_a10/

[1] Dorodnitsyn A. A., Osnovy teorii pogranichnogo sloya i teploobmena, MFTI, M., 1968

[2] Dorodnitsyn A. A., “Ob odnom metode chislennogo resheniya nekotorykh nelineinykh zadach aerogidrodinamiki”, Tr. III Vses. matem. s'ezda, 3, Izd-vo AN SSSR, M., 1958, 447–453

[3] Dorodnitzin A. A., “Method of integral relations for the numerical solution of partial differential equations”, Applic. Advanced Numer. Analys. Digital Comput. Problems, Univ. Michigan, Ann. Arbor, 1958, 281–306

[4] Belotserkovskii O. M., “Raschet obtekaniya krugovogo tsilindra”, Vychisl. matem., 3, VTs AN SSSR, M., 1958, 149–185

[5] Belotserkovskii O. M., Chushkin P. I., “Chislennyi metod integralnykh sootnoshenii”, Zh. vychisl. matem. i matem. fiz., 2:5 (1962), 731–759

[6] Chushkin P. I., “Raschet nekotorykh zvukovykh techenii gaza”, Prikl. matem. i mekhan., 21:3 (1957), 353–360

[7] Chushkin P. I., “Metod integralnykh sootnoshenii dlya sverkhzvukovykh prostranstvennykh techenii”, Zh. vychisl. matem. i matem. fiz., 8:4 (1968), 853–864

[8] Dorodnitsyn A. A., “Laminarnyi pogranichnyi sloi v szhimaemom gaze”, Dokl. AN SSSR, 34:8 (1942), 234–242

[9] Dorodnitsyn A. A., “Pogranichnyi sloi v szhimaemom gaze”, Prikl. matem. i mekhan., 6:6 (1942), 449–486

[10] Sokolova I. N., “Temperatura plastinki v sverkhzvukovom potoke s uchetom izlucheniya”, Teor. raboty po aerodinamike, Oborongiz, M., 1957, 206–221

[11] Sokolova I. N., “Temperatura konusa v sverkhzvukovom potoke s uchetom izlucheniya”, Teor. raboty po aerodinamike, Oborongiz, M., 1957, 222–229

[12] Godunov S. K., “Termodinamika gazov i differentsialnye uravneniya”, Uspekhi matem. nauk, 14:5(89) (1959), 97–116 | MR

[13] Godunov S. K., “O ponyatii obobschennogo resheniya”, Dokl. AN SSSR, 134:6 (1960), 1279–1282 | MR | Zbl

[14] Godunov S. K., Zabrodin A. V., Ivanov M. Ya. i dr., Chislennoe reshenie mnogomernykh zadach gazovoi dinamiki, Nauka, M., 1976 | MR | Zbl

[15] Ivanov M. Ya., “K raschetu techeniya gaza v udarnoi trube peremennogo techeniya”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1970, no. 3, 162–166

[16] Godunov S. K., Romenskii E. I., Elementy mekhaniki sploshnoi sredy i zakony sokhraneniya, Nauchn. kniga, Novosibirsk, 1998

[17] Godunov S. K., Gordienko V. M., “Prosteishie galileevo-invariantnye i termodinamicheski soglasovannye zakony sokhraneniya”, Prikl. matem. i matem. fiz., 43:1 (2002), 3–16 | MR | Zbl

[18] Romenskii E. I., “Termodinamicheski soglasovannye zakony sokhraneniya modelei mnogofaznykh sploshnykh sred”, Matem. v prilozheniyakh, Novosibirsk, 2009, 221

[19] Ivanov M. Ya., “O zakonakh sokhraneniya i termodinamike rabochego protsessa vysokotemperaturnykh GTD”, Matem. v prilozheniyakh, Novosibirsk, 2009, 120–121

[20] Zhukov V. T., Zabrodin A. V., Feodoritova O. B., “Metod resheniya nestatsionarnykh dvumernykh uravnenii gazovoi dinamiki s teploprovodnostyu v oblastyakh slozhnoi formy”, Zh. vychisl. matem. i matem. fiz., 33:8 (1993), 1240–1250 | MR | Zbl

[21] Zhukov V. T., Feodoritova O. B., “Programma rascheta gazodinamiki NZT”, Matem. v prilozheniyakh, Novosibirsk, 2009, 116–117

[22] Metodika chislennogo modelirovaniya dvumernykh nestatsionarnykh techenii teploprovodnogo gaza v trekhtemperaturnom priblizhenii v oblastyakh slozhnoi formy s podvizhnymi chastitsami (NZT), IPMatem RAN, M., 2008 | Zbl

[23] Romenskii E. I., “Termodinamicheski soglasovannye zakony sokhraneniya modelei mnogofaznykh sploshnykh sred”, Matem. v prilozheniyakh, Novosibirsk, 2009, 221

[24] Trubchikov B. Ya., Teplovoi metod izmereniya turbulentnosti v aerodinamicheskikh trubakh, Tr. TsAGI, 372, M., 1938

[25] Ivanov Yu. A., Krasheninnikov S. Yu., “K voprosu ob opredelenii kharakteristik turbulentnosti s pomoschyu diffuzionnykh izmerenii”, Izv. RAN. Mekhan. zhidkosti i gaza, 1970, no. 3, 89–96

[26] Belov S. V., Ivanov M. Ya., Tsvetkov I. V. i dr., Metodika opredeleniya koeffitsienta teploperedachi i parametrov teplovogo sleda za silno nagretymi telami, Tekhn. otchet TsIAM. 2009. No 300-5723, 195–208

[27] Ivanov M. Ya., Nigmatullin R. Z., “Neyavnaya skhema S. K. Godunova povyshennoi tochnosti dlya chislennogo integrirovaniya uravnenii Eilera”, Zh. vychisl. matem. i matem. fiz., 27:11 (1987), 1725–1735 | MR | Zbl

[28] Ivanov M. Ya., Krupa V. G., Nigmatullin R. Z., “Neyavnaya skhema S. K. Godunova povyshennoi tochnosti dlya integrirovaniya uravnenii Nave–Stoksa”, Zh. vychisl. matem. i matem. fiz., 29:6 (1989), 888–901 | MR | Zbl

[29] Ivanov M. Ya., Nigmatullin R. Z., “Modelirovanie rabochego protsessa v trakte gazoturbinnogo dvigatelya”, Uspekhi mekhan. sploshnykh sred, Dalnauka, Vladivostok, 2009, 221–253