Abstract
It was shown experimentally in [1, 2] and in a study by E. I. Asinovskii and A. V. Kirillin reported at the Scientific Technical Conference of the High-Temperature Scientific Research Institute held in 1964 that the heat transfer mechanism in a wall-stabilized argon arc was not purely purely conductive at gas temperatures greater than 11 000° K. Asinovskii and Kirillin also showed that radiative energy transfer is the reason why similarity is lost when the current-voltage characteristics are constructed in dimensionless form. The radiation of an argon arc has been studied experimentally by a number of authors [3–5], Dautov [6] calculated an argon arc without allowing for radiation.
In this article an argon arc stabilized by the cooled duct walls is calculated with account for radiation using theoretically computed relationships describing the transport properties of argon plasma. A large portion of the radiated energy pertains to spectral lines whose role has been studied by L. M. Biberman. The authors have used I. T. Yakubov's data on argon radiation published in the journal “Optics and Spectroscopy.” A method of calculation and data on argon plasma radiation are also given in [7].
Reference [8] deals with the problem of the role of radiation in an arc burning in nitrogen. In particular, the above-mentioned loss of similarity follows from the results of this work. However, the relationships used in this article to describe the transport properties of nitrogen plasma were obtained experimentally in [9].
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Abbreviations
- r0 :
-
arc radius (cm)
- r:
-
variablesradius (cm)
- T:
-
temperature (°K)
- χ:
-
heat transfer coefficient (ergcm−1sec−1deg−1)
- E:
-
electric field intensity (g1/2cm−1/2sec−1)
- σ′:
-
electrical conductivity (sec−1)
- q1 :
-
heat flux density due to conduction
- q2 :
-
heat flux density due to radiation
- u:
-
divergence of radiative energy flux density in the transparent part of the spectrum (ergcm−3sec−1)
- u2 :
-
same for part of the spectrum where reabsorption is taken taken into account
- m0 :
-
atomic mass
- me :
-
electronic mass
- σ:
-
Stefan-Boltzmann constant
- h:
-
Planck constant
- k:
-
Boltzmann constant
- e:
-
electronic charge
- p:
-
pressure
- α:
-
degree of ionization
- Ne :
-
electron concentration (cm−3)
- n0 :
-
neutral atom concentration
- Q0e :
-
electron-neutral collision cross section
- Qie :
-
electron-ion collision cross section (cm2)
- ν0 :
-
line center frequency (sec−1)
- Δν+ :
-
line halfwidth (distance from line center to contour for\(k_v = k_{v_0 } /2\)) due to effects giving dispersion contour
- k v :
-
absorption coefficient (cm−1)
- θ:
-
energy radiated by a hemispherical volume
- ε:
-
emissivity of hemispherical volume
- ℓ:
-
radius of hemispherical volume
- S:
-
line intensity
References
H. W. Emmons and R. I. Land, “Poiseulle plasma experiment,” Phys. Fluids, vol. 5, no. 12, pp. 1489–1500, 1962.
H. W. Emmons, “Recent developments in plasma heat transfer,” in: Modern Developments in Heat Transfer (ed. W. Ibele), New York, pp. 401–478, 1963.
H. Maecker, “Messung und Auswertung von Bogencharakteristiken,” Z. Phys., vol. 158, no. 4, pp. 392–404, 1960.
W. Neumann, “Bestimmung des absoluten Strahlungsanteils von Hochdruckbögen in schweren Edelgasen,” Beitr. Plasma Phys., vol. 2, no. 4, pp. 252–256, 1962.
Yu. R. Knyazev, R. V. Mitin, V. I. Petrenko, and E. S. Borovik, “Radiation of an argon arc at high pressure,” Zh. tekhn. fiz., vol. 34, no. 7, pp. 1224–1230, 1964.
G. Yu. Dautov, “Cylindrical arc in argon,” PMTF, no. 2, pp. 21–30, 1963.
V. G. Sevast'yanenko and I. T. Yakubov, “Radiative cooling of a gas heated by a strong shock wave,” Optika i spektroskopiya, vol. 16, no. 1, pp. 3–10, 1964.
G. Schmitz, H. J. Patt, and J. Uhlenbusch, “Eigenschaften und Parameterabhangigkeit der Temperaturverteilung und der Charakteristik eines Zylindersymmetrisch Stichstoffbogens,” Z, Phys., vol. 173, page 552, 1963.
G. Schmitz and H. J. Patt, “Die Bestimmung von Materialfunktion eines Stickstoffplasma bei Atmosphärendrück bis 15 000° K,” Z. Phys., vol. 171, page 449, 1963.
W. Finkel'nburg and H. Maecker, Electric Arcs and Thermal Plasma [Russian translation], Izd. inostr. lit., 1961.
G. Ecker and W. Weisel, “Zustandssumme und effective Ionisierungsspannung eines Atoms im Inneren des Plasmas,” Ann. Phys., vol. 17, no. 2–3, page 126. 1956.
C. E. Moore, Atomic energy levels, v. 1. Washington, 1949.
S. C. Lin, E. L. Resler, and A. Kantorowitz, “Electrical conductivity of highly ionized argon, produced by shock waves,” J. Appl. Phys., vol. 26, p. 95, 1955.
A. Scherman, “Calculation of electrical conductivity of ionized gases,” Amer. Rock. Soc. J., vol. 30, no. 6, p. 41, 1960.
W. Neumann, “Uber der radialen Temperaturverlauf im stationären und im impulsmodulierten Argon-Hochtemperaturbogen,” Beitr. Plasma Phys., vol. 2, no. 2, pp. 80–115, 1962.
B. Zeigler, “Der Wirkungsquerschnitt sehr Langsammer Ionen,” Z. Phys., vol. 136, no. 1, page 108, 1953.
B. Davison, Neutron Transport Theory [Russian translation], Izd. inostr. lit., 1960.
A. E. Sheindlin, E. I. Asinovskii, V. A. Baturin, and V. M. Batenin, “A device for obtaining a plasma and studying its properties,” Zh. tekhn. fiz., vol. 33, no. 10, pp. 1169–1172, 1963.
Author information
Authors and Affiliations
Additional information
The authorS thank I. T. Yakubov for allowing them to use his data on arc plasma radiation.
Rights and permissions
About this article
Cite this article
Vetlutskii, V.N., Onufriev, A.T. & Sevast'yanenko, V.G. Calculation of a wall-stabilized argon arc with account for radiative energy transfer. J Appl Mech Tech Phys 6, 44–49 (1965). https://doi.org/10.1007/BF01565819
Issue Date:
DOI: https://doi.org/10.1007/BF01565819