Supersonic flow of two-phase gas- droplet flows in nozzles

For practical applications, the description of processes occurring during the flow of two-phase gas-liquid mixtures requires a simple physical and mathematical model that describes the behavior of a two-phase medium in the entire range of phase concentrations changes and in a wide range of pressure changes. Problems of this kind arise in various branches of industry and technology. In the space industry, one often has to deal with the movement of various gases in rocket nozzles, consider the combustion, condensation of various vapors on the nozzle walls and their further impact on the velocity sublayer at the nozzle wall. The large acoustic effect arising from the engines affects the gas-liquid mixture in the nozzles of rocket engines. In the metal industry, metal cooling occurs with the help of nozzles in which the emulsion mixture is supplied under high overpressure. But this is only a short list of applied issues in which one has to deal with a problem of this type. The paper presents the results and directions of study of the problems of two-phase dispersed gas-droplet flows in the nozzles. The main methods of investigation of two- phase heterogeneous flows are described. The main characteristics of heterogeneous two-phase flows in the nozzles, which were confirmed by experimental results, are presented. The calculation of the air-droplet flow in the Laval nozzle is given. The technique, which is based on integral energy equations for two-phase dispersed flows, is described. The main problems and questions concerning the further description and studying of two-component flows are stated.

1. Chernyh A.A., Peshkova A.V. Nachal'nye svedeniya o teorii rasprostraneniya zvuka v dvuhkomponentnyh smesyah. 3 Mezhdunarodnaya nauchnaya konferenciiya studentov i molodyh uchenyh. «Molodezh' i sistemnaya modernizaciya stranу»; 22-23 may 2018; Kursk, Russia. 2018. pp. 207–211. (In Russ).

2. Nakoryakov VE., Pokusaev BG. Schreiber, IR. Rasprostranenie voln v gazovyh i parozhidkostnyh sredah. Novosibirsk: Institut teplofiziki SO AN SSSR, 1983. (In Russ).

3. Gubarev VYa.. Gazozhidkostnye techeniya v soplah. Vestnik Rybinskoj gosudarstvennoj aviacionnoj tekhnologicheskoj akademii im. P.A. Solov'eva.2017; 43(4):61–68. (In Russ).

4. Chernyh AA., Sharapov AI., Peshkova AV. Akusticheskie processy v gazokapel'nyh sredah.. Vestnik Tambovskogo gosudarstvennogo tekhnicheskogo universiteta. 2018; 24(2):281–286 (In Russ).

5. Nigmatulin RI., Aganin AA., Toporkov DYu., Il'gamov MA. Obrazovanie skhodyashchihsya udarnyh voln v puzyr'ke pri ego razrushenii. DOKLADY FIZIKI. 2014; 59(9): 431-435. (In Russ). doi: 10.1134/S1028335814090109

6. Nigmatullin RI., Aganin AA., Ilgamov MA. et al. Sil'noe szhatie para v kavitacionnyh puzyr'kah v vode i acetone. Vestnik Bashkirskogo universiteta. 2017; 22 (3): 580-585.(In Russ).

7. Chernykh AA., Peshkova AV., Sharapov AI. Chernyh AA., Peshkova AV., Sharapov AI. Osnovnye polozheniya teorii akustiki dvuhfaznyh sred 5 Mezhdunarodnaya mmolodezhnaya nauchnaya konferenciya. 2018. Pp 302-305. (In Russ).

8. Gubarev V.Ya. Skorost' zvuka v gazozhidkostnyh sredah. V sbornike: Energosberezhenie i effektivnost' v tekhnicheskih sistema ..Mezhdunarodnаya nauchno-tekhnicheskaya konferenciya studentov, molodyh uchenyh i specialistov. Russia 2017.10-12 Jul; Tambov, Russia. Tambovskij gosudarstvennyj tekhnicheskij universitet.(In Russ).

9. Nigmatulin RI., Bolotnova RH. Shirokoe uravnenie sostoyaniya vody i para v uproshchennoj forme. Teplofizika vysokih temperatur.2011;49(2):303-306. (In Russ).

10. Pokusaev BG., Tairov EA., Vasil'ev SA. Nizkochastotnye volny davleniya v parozhidkostnoj srede s fiksirovannym sloem sfericheskih chastic. Akusticheskaya fizika. 2010; 56(3):306-312.(In Russ).

11. Fedotovsky VS., Prokhorov YuP., Vereshchagina TN. Dinamicheskaya plotnost' i skorost' rasprostraneniya voln davleniya v dispersnyh sredah // Teploenergetika 2001; 48(3): 70–74.(In Russ).

12. Doncov VE., Nakoryakov VE. Processy obrazovaniya i rastvoreniya gidratov za udarnoj volnoj v zhidkosti, soderzhashchej puzyr'ki gaza .Zhurnal prikladnoj mekhaniki i tekhnicheskoj fiziki. 2009; 50(2):318-326. (In Russ).

13. Shagapov VI. Vliyanie teplomassobmennyh processov mezhdu fazami na rasprostranenie malyh vozmushchenij v pene. Teplofizika vysokih temperatur. //Vestnik Bashkirskogo Universiteta. 1985; 23(1):126-132.(In Russ).

14. Chernyh AA., Gubarev VYa. Rasprostranenie zvukovyh voln v dvuhfaznyh sredah. 5 Mezhdunarodnoj nauchno-tekhnicheskoj konferencii studentov, molodyh uchyonyh i specialistov «Energosberezhenie i effektivnost' v tekhnicheskih sistemah». 2018. pp. 272–273. (In Russ).

15. Nakoryakov VE., Doncov VE., Pokusaev BG. Rasprostranenie voln davleniya v zhidkosti s tverdymi chasticami i puzyr'kami gaza. Inzhenernaya teplofizika. 1994 ; 4(2):173–188.(In Russ).

16. Nigmatulin RI., Aganin AA., Toporkov DYu., Ilgamov MA. The formation of converging shock waves in a bubble during its compression. Reports of the Academy of Sciences. 2014. 458(3):282.(In Russ). doi: 10.7868/S0869565214270115

17. Nigmatulin RI., Gubajdullin DA., Fedorov YuV. Akusticheskie volny raznoj geometrii v polidispersnyh puzyr'kovyh zhidkostyah. Teoriya i eksperiment..2013;450(6): 665(.In Russ).

18. Nigmatulin RI., Aganin AA., Il'gamov MA., Toporkov DYu. Evolyuciya vozmushchenij sfericheskoj formy kavitacionnogo puzyr'ka. Uchenye zapiski Kazanskogo universiteta.. 2014; 156 (1): 79-108.(In Russ)