Journal of Engineering Physics and Thermophysics

, Volume 68, Issue 5, pp 667–672 | Cite as

Anisotropic model of an emitting electric arc

  • A. F. Bublievskii
Article

Abstract

An analytical procedure is proposed for obtaining exponential dimensionless equations to calculate the characteristics of an electric arc in a plasmatron channel that is based on using an exponential approximation of the temperature dependence of electric conductivity with different exponents for longitudinal and transverse coordinates.

Keywords

Electric Conductivity Statistical Physic Analytical Procedure Anisotropic Model Exponential Approximation 

Notation

ρ

density

Cp

specific heat at constant pressure

σ

electrical conductivity

λ

thermal conductivity

V

velocity

T

temperature

E

electric-field strength

r, z

radial and longitudinal coordinates

\(S = \int\limits_0^T \lambda dT\)

thermal conductivity function

G

gas flow rate

Q

bulk radiation density

R, D

radius and diameter of channel

I

strength of current

\(\bar r\)

r/R

\(\bar z\)

z/R

m

R/r*=1/r*

ΔS

S−S *

bQ

Q0S0

a, k,kσ,nσ,C00, κ

constants

J0,J1,Y0

Bessel functions

μ1, αn

roots of characteristic equations

j

current density

q

heat flux density

Po, Pe

Pomerantsev and Pecklet numbers, respectively

Nu

Nusselt number

ΠK, ΠU, Πq,KQ,KS

similarity numbers

U

voltage

α

heat-transfer coefficient

Indexes

z

longitudinal component

*

boundary of conducting band

0

base value

1

value on the wall

00

axial value

I, II

conducting and nonconducting bands, respectively

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References

  1. 1.
    G. A. Stain, Investigations at High Temperatures [in Russian], Moscow (1967), pp. 94–112.Google Scholar
  2. 2.
    G. Mekker, A Moving Plasma [Russian translation], Moscow (1961), pp. 439–472.Google Scholar
  3. 3.
    A. V. Luikov, Theory of Heat Conduction [in Russian], Moscow (1967).Google Scholar
  4. 4.
    S. S. Kutateladze and O. I. Yas'ko, Inzh.-Fiz. Zh., 7, No. 4, 25–27 (1964).Google Scholar
  5. 5.
    A. F. Bublievskii and O. I. Yas'ko, Proc. of 11th Intern. Symposium on Plasma Chemistry. Loughborough University. Loughborough, England, Vol. 1, pp. 302–307 (1993).Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • A. F. Bublievskii

There are no affiliations available

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