Based on the conservation equations for mass density, momentum, and energy, the coupled distributions of viscous flow and temperature in a wall‐stabilized arc in a transverse magnetic field are calculated. By means of Green's function of the biharmonic and the Laplace operator, respectively, the relevant equations are converted to integral equations which can be solved by an alternating iteration procedure. Examples are given for an argon arc and are compared with the experimental results.

Topics
Integral equations, Operator theory, Chemical elements
1.
G.
Seeger
,
Z. Angew. Phys.
25
,
23
(
1968
).
Google Scholar
 
2.
G.
Seeger
,
Z. Angew. Phys.
29
,
357
(
1970
).
Google Scholar
 
3.
J.
Raeder
,
Z. Naturforsch.
23
,
423
(
1968
).
Google Scholar
 
4.
S. Bergman and M. Schiffer, Kernel Functions and Elliptic Differential Equations in Mathematical Physics (Academic, New York, 1953), p. 239.
5.
W. Kollmar, H. Rosenbauer, and G. Seeger in Proceedings of the Ninth International Conference on Phenomena in Ionized Gases, edited by G. Musa, I. Ghica, A. Popescu, and L. Nastase (Editura Academici Republicii Socialiste: Bucharest, Romania, 1969), p. 378.
6.
H.
Rosenbauer
,
Z. Phys.
245
,
295
(
1971
).
Google Scholar
Crossref
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© 1974 American Institute of Physics.
1974
American Institute of Physics
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