Heat transfer and cold cathode erosion in electric arc heaters

A simple thermophysical model is proposed for cold electrode erosion in electric arc heaters. The model regards erosion as characterized by an effective enthalpy of electrode material ablation, resulting in heat unbalance between heat supply and heat removal by conduction. Replacing the arc spot by a moving surface heat source, the space-time evolution of the electrode surface temperature is studied in coordinates coupled to the source. Applying heat diffusion equations, we show that the erosion problem can be represented by a system of three simple equations. An experimental coaxial setup, with a magnetically driven arc, has been used for the erosion measurements in copper electrodes. Special thermal experiments were carried out for measuring needed arc spot parameters. A comparison of the model with our own and other experimental data demonstrates a reasonable agreement. The present model reveals the relative significance of the different parameters in the erosion process, and permits us to predict the erosion behavior in cold electrode electric arc heaters in a wide range of parameters.