The Paton Welding Journal, 2025, #8, 44-54 pages
Model of the anode boundary layer in welding arcs
I.V. Krivtsun1, A.I. Momot1,2, I.B. Denysenko1,3, U. Reisgen4, O. Mokrov4, R. Sharma4
1E.O. Paton Electric Welding Institute of the NASU.
11 Kazymyr Malevych Str., 03150, Kyiv, Ukraine. E-mail: momot.andriy@gmail.com
2Taras Shevchenko National University of Kyiv
64/13 Volodymyrs’ka Str., 01601, Kyiv, Ukraine,
3V.N. Karazin Kharkiv National University
4 Svobody Sq., 61022, Kharkiv, Ukraine
4Welding and Joining Institute, RWTH Aachen University
49 Pontstrasse, 52062, Germany
Abstract
A one-dimensional model of the anode boundary layer in atmospheric pressure electric arcs with refractory cathode and evaporating
anode is proposed for two modes of the anode metal evaporation: diffusive and convective. The corresponding systems
of differential and algebraic equations are formulated to compute the spatial distributions of the number densities and diffusive
flux densities of electrons, ions, and atoms; the electron temperature and the heavy particle (atoms and ions) temperature; and
the electric potential in the plasma of the anode layer. Additionally, the model allows to calculate the heat flux introduced by
the arc into the anode. The boundary conditions for the differential equations of this model at the boundaries of the anode layer
with the arc column plasma and the space-charge sheath are formulated. An approach for determining the plasma parameters at
these boundaries is also proposed for each evaporation mode.
Keywords: anode boundary layer, welding arc, modelling, evaporating anode, metal vapor, diffusive evaporation, convective
evaporation
Received: 12.05.2025
Received in revised form: 17.06.2025
Accepted: 24.07.2025
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Suggested Citation
I.V. Krivtsun, A.I. Momot, I.B. Denysenko, U. Reisgen, O. Mokrov, R. Sharma (2025) Model of the anode boundary layer in welding arcs.
The Paton Welding J., 08, 44-54.