Geodesic
Auto-oscillations in a~distributed model of a~Rijke tube
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 4, pp. 3-13.

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider a Rijke tube as a distributed autooscillating system. We analyze self-excitation conditions theoretically, obtain relations that determine the amplitude of steady-state autooscillations, and study their stability. The approach rests on the previously justified mechanisms of negative resistances: viscous along the tube and thermal, which is a local hydraulic resistance of the heat source zone.
Keywords: Rijke tube, distributed system, mechanisms of auto-oscillations, negative resistances.
Mots-clés : auto-oscillations 
@article{SJIM_2011_14_4_a0,
     author = {B. I. Basok and V. V. Gotsulenko},
     title = {Auto-oscillations in a~distributed model of {a~Rijke} tube},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {3--13},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_4_a0/}
}
TY  - JOUR
AU  - B. I. Basok
AU  - V. V. Gotsulenko
TI  - Auto-oscillations in a~distributed model of a~Rijke tube
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2011
SP  - 3
EP  - 13
VL  - 14
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2011_14_4_a0/
LA  - ru
ID  - SJIM_2011_14_4_a0
ER  - 
%0 Journal Article
%A B. I. Basok
%A V. V. Gotsulenko
%T Auto-oscillations in a~distributed model of a~Rijke tube
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2011
%P 3-13
%V 14
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2011_14_4_a0/
%G ru
%F SJIM_2011_14_4_a0
B. I. Basok; V. V. Gotsulenko. Auto-oscillations in a~distributed model of a~Rijke tube. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 4, pp. 3-13. http://geodesic.mathdoc.fr/item/SJIM_2011_14_4_a0/

[1] Belyaev N. M., Belik N. P., Polshin A. V., Termoakusticheskie kolebaniya gazozhidkostnykh potokov v slozhnykh truboprovodakh energeticheskikh ustanovok, Vyssh. shkola, Kiev, 1985

[2] Gotsulenko V. V., “Matematicheskaya model truby Riike i usloviya ee zvuchaniya”, Matematichne modelyuvannya, 2000, no. 2(5), 39–41

[3] Gotsulenko V. V., “Matematicheskoe modelirovanie osobennostei fenomena Riike pri izmenenii moschnosti teplovogo potoka”, Mat. modelirovanie, 16:9 (2004), 23–28 | Zbl

[4] Gotsulenko V. V., “Avtokolebaniya v trube Riike pri ee sobstvennom volnovom soprotivlenii”, Sistemnye tekhnologii, 2004, no. 4(33), 45–51

[5] Gotsulenko V. V., Gotsulenko V. N., “Teplovoe soprotivlenie kak mekhanizm vozbuzhdeniya avtokolebanii”, Sb. nauch. trudov Dneprodzerzhinsk. gos. tekhn. un-ta, 2009, no. 1(11), 95–100

[6] Strelkov S. P., Vvedenie v teoriyu kolebanii, Nauka, M., 1964 | MR | Zbl

[7] Gershuni G. Z., “Gidrodinamicheskaya neustoichivost. Izotermicheskie techeniya”, Soros. obrazovat. zhurn., 1997, no. 2, 99–106

[8] Basok B. I., Gotsulenko V. V., “Problema termoakusticheskikh kolebanii i vibratsionnogo goreniya”, Tekhn. teplofizika i promyshl. teploenergetika, 2009, no. 1, 5–15

[9] Charnyi I. A., Neustanovivsheesya dvizhenie realnoi zhidkosti v trubakh, Gostekhizdat, L., 1951

[10] Lependin L. F., Akustika, Vyssh. shkola, M., 1978

[11] Migulin V. V., Medvedev V. I., Mustel E. R., Parygin V. N., Osnovy teorii kolebanii, Nauka, M., 1978

[12] Arnold V. I., Matematicheskie metody klassicheskoi mekhaniki, Nauka, M., 1989 | MR