Abstract
The purpose of this paper is to examine the properties and parameter dependences of the electrical, thermal, dynamical and radiation quantities of a Hagen-Poiseuille flow in a cylindrical wallstabilized electrical arc. The basic equations are derived from the single fluid model of plasma physics taking into account the special arc conditions. For this flow it is outlined, that the temperature distribution and hence the electrical and radiation quantities do not depend upon the dynamical entities in the considered parameter region.
The determination of these functions can be performed in the same way, which is demonstrated for the electrical arc without convection in a previous paper. Knowing the temperature distribution it is possible to calculate the dynamical quantities, which are modified by the temperature field of the arc contrary to the isothermal flow. Corresponding to this they have different parameter dependences as shown by analytical and numerical treatment for a nitrogen and an argon arc.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Auszug aus der von der Fakultät für Allgemeine Wissenschaften der Technischen Hochschule Aachen genehmigten Dissertation (D 82).
Wir danken Herrn Dr.Haupt vom Rechenzentrum der Technischen Hochschule Aachen für die Bereitstellung von Maschinenzeit und Herrn cand.-phys. W.Gatzweiler fur die Programmierung der numerischen Rechnungen.
Rights and permissions
About this article
Cite this article
Patt, H.J., Schmitz, G. Hagen-Poiseuille-Strömung in wandstabilisierten zylindersymmetrischen Lichtbögen. Z. Physik 185, 1–18 (1965). https://doi.org/10.1007/BF01381298
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01381298