Такой подход позволяет упростить расчет равновесного состава смеси и исследо-вать влияние массовой плотности газа на изменение его физико-химических свойств с повышением температуры.


Чтобы посмотреть этот PDF файл с форматированием и разметкой, скачайте файл и откройте на своем компьютере.
 (6 .37.206.2016). c \r -,2017 DOI:10.21638/11701/spbu01.2017.211 273 O 2 ;N 2 NO , O N , - (). - - . 2. . - - - [57], (.,,[8,9]). ,- , [9] f (0) cvr = s cvr m 3 c h 3 exp  m c u 2 = 2+ " cvr kT + \r 1 K 1 c + \r 2 K 2 c  r = 0 ;r c ;v = 0 ;v c ;c = 1 5 (1) c =1 2 O N , c =3 4 5 - O 2 ;N 2 NO ; v r - ; r c v c  c ; h k ; T - ; u c m c  c ; K 1 c K 2 c  O N ; " cvr s cvr - ( , c =1 2 , " cvr =0, s cvr =1); \r 1 \r 2 : c =1 X 5 n c K 1 c =~ n 1 (2) c =1 X 5 n c K 2 c =~ n 2 (3) ~ n 1 =2 0 2 n 0 ~ n 2 =2 0 8 n 0 (4)  O N (, ). n c ,(1),- n 1 = Z f (0) 1 d u = Z tr 1 ( T ) e \r 1 n 2 = Z f (0) 2 d u = Z tr 2 ( T ) e \r 2 (5) Z tr 1 ( T )=(2 m c kT=h 2 ) 3 2  274 .....4(62) .2017..2 ; n 3 = X v;r Z f (0) 3 vr d u = Z 3 ( T ) e 2 \r 1 n 4 = X v;r Z f (0) 4 vr d u = Z 4 ( T ) e 2 \r 2 n 5 = X v;r Z f (0) 5 vr d u = Z 5 ( T ) e \r 1 + \r 2 (6) Z c ( T )= Z tr c ( T ) Z rot c ( T ) Z vibr c ( T ) e d c =kT (7) Z rot c ( T )= P r  c r =0 s cr exp( " cr =kT ) (- Z rot c ( T )=0 6951 T=B c ;B c  ); Z vibr c ( T )= P v  c v =0 exp( " cv =kT ) ; d c  c . (7) - [9] " cvr = " cr + " cv d c - [10][13]. (2),(3) \r 1 \r 2 ,,(5)(6), n 0 - T . 3. . e \r 1 = x 1 ;e \r 2 = x 2 : n 1 = Z 1 ( T ) x 1 n 2 = Z 2 ( T ) x 2 n 3 = Z 3 ( T ) x 2 1 n 4 = Z 4 ( T ) x 2 2 n 5 = Z 5 ( T ) x 1 x 2 (8) (2),(3) 2 Z 3 x 2 1 + Z 5 x 1 x 2 + Z 1 x 1 =~ n 1 2 Z 4 x 2 2 + Z 5 x 1 x 2 + Z 2 x 2 =~ n 2 (9) (9)[11] ~ n 1 ~ n 2 ,- , n 0 n L [12]. x 1 , x 2 (8) (250 .....4(62) .2017..2 275 15000K) n 0 = N L 10 k ( k 6 +2 ). .13. . 15 - n c =n 0 c . .1. n c =n 0 n 0 = n L  10 6 . .2. n c =n 0 n 0 = n L  10 2 . - . - . . O 2 NO .- N 2 ,- NO . , . 276 .....4(62) .2017..2 .3. n c =n 0 n 0 = n L  10 0 . .- - .,, n 0 = n L - 10%15000K. , n 0 = n L 10 6 7 000K. NO - ., . 4.  ( n 0 ) -. , .13,, n 0 -  ( , n ). n h m i =  n (10)  . .4  . ,, ,, . . .5. p=p 0 = nkT=n 0 kT 0 =( n=n 0 ) ( T=T 0 ) , n=n 0 =const . 13 ., .....4(62) .2017..2 277 .4. . 1 n 0 = n L , 2  n 0 = n L  10 2 , 3  n 0 = n L  10 6 . .5. . 1 n 0 = n L  10 6 , 2  n 0 = n L  10 4 , 3  n 0 = n L  10 2 . n , - , p=p 0 . - . 5.. - , - . (1).(5)(6) - (1)- . (5)(6) \r 1 \r 1 (2) (3). 278 .....4(62) .2017..2 (9) - n 0 = N L 10 k ( k 6 +2 ).  (- n 0 ). ,, - , . . , - - ,(5)(6) - ( \r 1 \r 2 )., , - , . 1. ..,..,... (600012000 0,0011000)..:- CCCP,1957.302c. 2. ..,..,... (1200020000 0,01100)..:- ,1959.230. 3. ..,..,... (2006000 0,00001100)..:, 1962.268. 4. ..,.. , 20020000// .1996..34,2..208219. 5. ..,..,.. - //..-..1.196 4..7..155161. 6. ..,..,.. - ..:-. -,1977.280. 7. ErnA.,GiovangigliV. Thekineticchemicalequilibriumregime//PhysicaA.1998. Vol.260, issues12.P.4972.DOI:10.1016/S0378-4371(98)00303-3 . 8. ..,.. //. ..:-,1974. .201213. 9. .. - - ..:-.-.-,2003.248. 10. ..,. :2-..:,1984..I. 407.;.II.366c. 11. ..,.. :2-..:,1959..2.620. 12. ..,.. - //..-.-..1.2012..2 ..122130. 202016.; 222016. ;[email protected] -,; [email protected] .....4(62) .2017..2 279 EQUILIBRIUMCOMPOSITIONANDPHYSICALAND CHEMICALCHARACTERISTICSOFHIGH-TEMPERATUREAIRMIXTURE S WITHDIVERSEDENSITIES NataliaV.Bogdanova,MariaA.Rydalevskaya St.PetersburgStateUniversity,Universitetskayanab.,7 9,St.Petersburg,199034,RussianFederation; [email protected],[email protected] Theequilibriumcompositionandphysicalandchemicalchar acteristicschangesoftheairareinvestigated whenhistemperatureincrease.Thedistributionfunctions whichcorrespondtoentropymaximumare usedforadescriptionofequilibriumstatesoftheairmixtu res.Itallowsustoavoidthesolutionofamass actionlawequations.Therefore,thedeterminationofthee quilibriummixturecompositionissimplied. Theinuenceofinitialairdensityonthedependenciesofth emixturecomponentsconcentrations,the molemassandthepressureonthetemperatureisanalyzed.Re fs12.Figs5. Keywords :statisticaldescriptionofairmixture,distributionfun ctions,equilibriumcompositionof hightemperatureairmixture,physicalandchemicalcharac teristics. References 1.PredvoditelevA.S.,StupochenkoE.V.,SamuilovE.V.eta l., Tablesofthermodynamicair functions(fortemperaturefrom6000to12000Kandpressure on0,001to1000atm) (Izdatel'stvoAN SSSR,1957,302p.)[inRussian]. 2.PredvoditelevA.S.,StupochenkoE.V.,PleshanovA.S.et al., Tablesofthermodynamicair functions(fortemperaturefrom12000to20000Kandpressur eon0,01to100atm) (Izdatel'stvoAN SSSR,1957,230p.)[inRussian]. 3.PredvoditelevA.S.,StupochenkoE.V.,PleshanovA.S.et al., Tablesofthermodynamicair functions(fortemperaturefrom200to6000Kandpressureon 0,00001to100atm) (Izdatel'stvoAN SSSR,1962,268p.)[inRussian]. 4.KraikoA.N.,MakarovV.E.,Explicitanalyticformulasd eningtheequilibriumcompositionand thermodynamicfunctionsofairfortemperaturesfrom200to 20000K, ThermophysicalPropertiesof Materials 34 (2),202213(1996)[inRussian]. 5.VallanderS.V.,EgorovaI.A.,RydalevskayaM.A.,Stati sticalBoltzmanndistributionofthe solutionofthekineticequationsforamixtureofgaswithin ternaldegreesoffreedomandchemical reactions, Vestn.Leningr.Univ.Series1 Issue7,155161(1964)[inRussian]. 6.VallanderS.V.,NagnibedaE.A.,RydalevskayaM.A., Somequestionsofthekinetictheoryof chemicallyreactinggasmixtures (Izdatel'stvoLeningr.Univ.,1977,280p.)[inRussian]. 7.ErnA.,GiovangigliV.,Thekineticchemicalequilibriu mregime, PhysicaA 260 ,issues12, 4972(1998)DOI:10.1016/S0378-4371(98)00303-3. 8.VallanderS.V.,RydalevskayaM.A.,Equilibriumstatis ticaldistributionofchemicallyreacting gasmixtures, Collectedworks.Izbranniiproblemymechaniki ,201213(Izdatel'stvoANSSSR,1974)[in Russian]. 9.RydalevskayaM.A., Statisticalandkineticmodelsinthephysicalandchemical gasdynamics (Izdatel'stvoSt.PetersburgUniv.,St.Petersburg,2003. 248p.)[inRussian]. 10.HuberK.P.,HerzbergG., MolecularSpectraandMolecularStructureIV.ConstantsofD iatomic Molecules (VanNostrandReinholdCompany,NewYork,1979). 11.BerezinI.S.,ZidkovN.P., Calculationmethods 2 (GIFML,Moscow,1959.620p.)[inRussian]. 12.RydalevskayaM.A.,MorozovA.A.,Equilibriumcomposi tionandsoundvelocityofthereacting gasmixtures, Vestn.St.PetersburgUniv.Series1.Mathematics.Mechani cs.Astronomy issue2,122130 (2012)[inRussian]. : ..,.. - - //- ....2017..4(62 )..2..273280. DOI:10.21638/11701/spbu01.2017.211 Forcitation: BogdanovaN.V.,RydalevskayaM.A.Equilibriumcompositio nandphysical andchemicalcharacteristicsofhigh-temperatureairmixt ureswithdiversedensities. Vestnik SPbSU.Mathematics.Mechanics.Astronomy ,2017,vol.4(62),issue2,pp.273280. DOI:10.21638/11701/spbu01.2017.211 280 .....4(62) .2017..2

Приложенные файлы

  • pdf 44249223
    Размер файла: 443 kB Загрузок: 0

Добавить комментарий