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A hydrodynamic interpretation of a problem in the theory of the dimensional electrochemical machining of metals
Authors:NM Minazetdinov
Institution:1. Key Laboratory of Distributed Energy Systems of Guangdong Province, Department of Energy and Chemical Engineering, Dongguan University of Technology, Dongguan 523808, China;2. School of Electric Power, South China University of Technology, Guangzhou 510640, China;1. Chemistry Division, Research Centre for Energy, Environment and Technology (CIEMAT), Avda. Complutense 40, 28040 Madrid, Spain;2. Science Faculty, Autonomous University of Madrid, Cantoblanco Campus, 28049 Madrid, Spain;3. Department of Physical Metallurgy, National Center for Metallurgical Research (CENIM-CSIC), Avda. Gregorio del Amo 8, 28040 Madrid, Spain
Abstract:A method of determining the form of the anode-blank boundary for a specified form of the cathode tool in plane problems of the theory of the dimensional electrochemical machining of metals is proposed. Within the assumptions made, the anode-blank boundary is divided into a working zone, in which solution of the metal occurs, and a region next to it in which the machining ceases. The initial problem is reduced to a problem of plane-parallel potential flow of an ideal liquid with non-linear conditions on its surface. The point which separates these two regions of the anode boundary corresponds to the point where the jet separates from the solid boundary. The Brillouin-Villat smooth separation condition is specified when compiling the closed system of equations at the point where the jet separates.
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