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Journal of Applied Mechanics and Technical Physics

2017 year, number 6

Simulation of Electrochemical Copying in a FInite-Width Cell

V. P. Zhytnikov, N. M. Sherykhalina, A. A. Zaripov
Ufa State Aviation Technical University, Ufa, 450000, Russia
Keywords: задача Хеле-Шоу, нестационарность, квазистационарное решение, комплексные переменные, точность копирования, Hele-Shaw problem, nonstationarity, quasistationary solution, complex variables, copying accuracy


The problem of simulation of electrochemical treatment by reduction to a solution of a Schwartz problem on a parametric rectangle via theta functions is solved. Various conditions are considered (nonequipotentiality of electrodes and inconsistent current output) at the boundary of the surface treated. Nonstationary, quasistationary, stationary, and limiting solutions are presented. The results of surface treatment with tool electrodes of various shapes are given. It is shown that the parameters of the processing mode significantly affect the allowance necessary to achieve highly accurate copying.