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Journal of Applied Mechanics and Technical Physics

2016 year, number 1

Modeling of Electrochemical Shaping with the Use of a Curvilinear Electrode and a Stepwise Dependence of the Current Efficiency on the Current Density

L. M. Kotlyar, N. M. Minazetdinov
Kazan Federal University, 423810 Naberezhnye Chelny, Russia
Keywords: электрохимическая обработка металлов, потенциал, гидродинамическая аналогия, свободная поверхность, electrochemical machining of metals, potential, hydrodynamic analogy, free surface


An analytical solution of the problem of electrochemical machining of metals by a curvilinear cathode tool with allowance for a discontinuous function that describes the dependence of the current efficiency on the current density is obtained. According to the hydrodynamic itnerpretation, the original problem reduces to the problem of the theory of ideal fluid flows with a free surface. It is demonstrated that the use of the proposed dependence of the current efficiency on the current density ensures the existence of three domains on an unknown treated surface; these domains have different laws of the distribution of the charge fraction spent on metal dissolution. Results calculated for various particular cases are presented.