Abstract
Thermal crisis of a stationary vortex source flowing to vacuum is considered for air on the basis of the model of a diatomic gas with variable heat capacities due to the excitation of vibrational degrees of freedom of molecules. The versions with different heat supply laws are compared. The effect of the size of the heat-release region (from close-to-zero value to that exceeding the minimal radius of the vortex source by tens of times) as well as the effect of the circulation of the flow on the critical parameters determining thermal crisis are considered. A qualitative difference from the thermal crisis in a perfect (ideal) gas with constant heat capacities is demonstrated.
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M. N. Kogan and A. N. Kucherov, in Proceedings of the East-West High Speed Flow Field Conference (WEH-SFF-2007), Moscow, 2007, pp. 52–53.
M. N. Kogan and A. N. Kucherov, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 151 (2008).
M. N. Kogan and A. N. Kucherov, in Proceedings of the 8th International Workshop on Magneto-Plasma Aerodynamics, Moscow, 2009, pp. 168–179.
M. N. Kogan and A. N. Kucherov, Teplofiz. Vys. Temp. 48(Suppl.), 85 (2010).
Yu. P. Raizer, Gas Discharge Physics (Nauka, Moscow, 1992; Springer, Berlin, 1991).
V. G. Gromov, A. P. Ershov, V. A. Levin, V. M. Shibkov, Teplofiz. Vys. Temp. 44, 185 (2006).
P. K. Tret’yakov, G. F. Garanin, G. N. Grachev, V. L. Krainev, A. G. Ponomarenko, V. N. Tishchenko, and V. I. Yakovlev, Dokl. Phys. 41, 566 (1996).
V. Yu. Borzov, V. M. Mikhailov, I. V. Rybka, N. P. Savishchenko, and A. S. Yur’ev, Inzh.-Fiz. Zh. 66, 515 (1994).
V. N. Zudov, P. K. Tret’yakov, A. V. Tupikin, and V. I. Yakovlev, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 5, 140 (2003).
P. Yu. Georgievskii and V. A. Levin, Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 5, 154 (2003).
A. N. Kucherov, Tech. Phys. 54, 1755 (2009).
G. N. Abramovich, Dokl. Akad. Nauk SSSR 54, 579 (1946).
L. A. Vulis, Dokl. Akad. Nauk SSSR 54, 669 (1946).
S. A. Chaplygin, About Gas Jets (Univer. Tipografiya, Moscow, 1902).
N. Ya. Fabrikant, Aerodynamics: General Course (Nauka, Moscow, 1964).
R. Mises, Mathematical Theory of Compressible Fluid Flow (Academic, New York, 1958; Inostrannaya Literatura, Moscow, 1961).
A. N. Kucherov, Uch. Zap. TsAGI 14, 47 (1983).
M. N. Kogan and A. N. Kucherov, in Proceedings of the 9th International Workshop on Magneto-Plasma Aerodynamics, Moscow, 2010, pp. 59–69.
Aviation: Encyclopaedia, Ed. by G. P. Svishchev (Bol’shaya Ross. Entsiklopediya, Moscow, 1994).
A. N. Kucherov, Inzh.-Fiz. Zh. 83, 873 (2010).
A. N. Kucherov, Tech. Phys. 56, 936 (2011).
A. N. Kucherov, TsAGI Science Journal 43(2), 175 (2012).
A. N. Kucherov, Tech. Phys. 57, 1479 (2012).
A. N. Kucherov, J. Eng. Phys. Thermophys. 85, 1135 (2012).
Yu. A. Glagolev, A Handbook of Physical Parameters of Atmosphere (Gidrometeorologicheskoe Izd., Leningrad, 1970).
Tables of Physical Data: Reference Book, Ed. by I. K. Kikoin (Atomizdat, Moscow, 1976).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1976; Pergamon, Oxford, 1980).
V. Ts. Griffit, in Fundamental Data Obtained from Shock-Tube Experiments, Ed. by A. Ferri (Pergamon, Oxford, 1961; Gos. Izd. Lit. At. Nauke Tekhn., 1963).
V. P. Agafonov, V. K. Vertushkin, A. A. Gladkov, and O. Yu. Polyanskii, Nonequilibrium Physical Chemical Processes in Aerodynamics, Ed. by G. I. Maikapar (Mashinostroenie, Moscow, 1972).
“Air liquid and gaseous: density, enthalpy, entropy, and izobar heat capacity on temperature interval 70–1500 K and pressure interval 0.1–100 MPa,” GSSSD 8–79, in Properties of Materials and Matters. Air and Its Basic Components, Issue 2: Tables of Standard Reference Data (Gos. Kom. Upr. Kachest. Prod. Standartam, Moscow, 1991), pp. 19–34.
A. N. Kucherov, RF Preprint No. 157, TsAGI (Moscow, 2009).
A. N. Kucherov, RF Preprint No. 158, TsAGI (Moscow, 2010).
R. B. Miles, G. L. Brown, W. R. Lempert, R. Yetter, G. J. Williams, Jr., S. M. Bogdonoff, D. Natelson, and J. R. Guest, AIAA J. 33, 1463 (1995).
G. L. Brown, R. W. Anderson, A. E. Morgan, P. F. Barker, R. J. Lipinski, and R. B. Miles, in Proceedings of the 29th Plasmadynamics and Lasers Conference, Albuquerque, 1998, AIAA Pap. No. 98-2747.
R. B. Miles and G. L. Brown, in Proceedings of the 29th Plasmadynamics and Lasers Conference, Albuquerque, 1998, AIAA Pap. No. 98-2748.
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Original Russian Text © A.N. Kucherov, 2013, published in Zhurnal Tekhnicheskoi Fiziki, 2013, Vol. 83, No. 7, pp. 30–37.
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Kucherov, A.N. Vortex source flowing into vacuum under thermal crisis. Tech. Phys. 58, 960–967 (2013). https://doi.org/10.1134/S1063784213070116
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DOI: https://doi.org/10.1134/S1063784213070116