Electric charge in hyperbolic motion: the special conformal transformation solution

Galeriu, Călin

doi:10.1088/1361-6404/ab3df6

Cited by 2 publications

(1 citation statement)

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“…Due to the continuous movement of boundaries, it is extremely difficult to obtain the electric field intensity of the electrolyte domain (Ω). To exactly calculate the analytical solution of electric field intensity, the conformal transformation is used to simplify the original electric field model [33][34][35][36]. As shown in Figure 2b, two non-concentric circular electrodes can be mapped to two concentric circular electrodes.…”

Section: Mathematical Model 21 Electric Field Modelmentioning

confidence: 99%

Evolution of the Interelectrode Gap during Co-Rotating Electrochemical Machining

Zhou,

Wang,

et al. 2023

Metals

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A new co-rotating electrochemical machining method is presented to machine the complex structure inside annular parts such as flame tubes and aero-engine casings. Due to the unique shape and motion of electrodes, it is difficult to accurately compute the electric field intensity in the machining area. In this paper, the complex electric field model is simplified by conformal transformation, and the analytical solution of electric field intensity is exactly calculated. A material removal model is built on the basis of the electric field model, and the dynamic simulation of the material removal process is realized. The effects of the cathode radius, applied voltage, feed rate and initial interelectrode gap on the interelectrode gap (IEG) and material removal rate (MRR) are analyzed. The simulation results indicate that the MRR is always slightly less than the feed rate in a quasi-equilibrium state, resulting in a slow reduction in IEG. In addition, the final machining state is not affected by the initial IEG, and the MRR in a quasi-equilibrium state is determined by the feed rate. Several comparative experiments were carried out using the optimized processing parameters, in which the MRR and IEG were measured. The convex structures were successfully machined inside the annular workpiece with optimum machining parameters. The experimental results are in good agreement with the theoretical results, indicating that the established model can effectively predict the evolution process of MRR and IEG.

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Section: Mathematical Model 21 Electric Field Modelmentioning

confidence: 99%