Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2009-5pp.592-598

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N.M. Minazetdinov, "A scheme for the electrochemical machining of metals by a cathode tool with a curvilinear part of the boundary," J. Appl. Math. Mech. 73 (5), 592-598 (2009)
Year 2009 Volume 73 Issue 5 Pages 592-598
Title A scheme for the electrochemical machining of metals by a cathode tool with a curvilinear part of the boundary
Author(s) N.M. Minazetdinov (Naberezhnye Chelny, Russia, nminazetdinov@yandex.ru)
Abstract The solution of a non-linear plane problem in the theory of the electrochemical machining of metals, associated with the determination of the shape of a surface (the anode) during its treatment with a cathode tool with a curvilinear part of the boundary, is obtained by methods developed for problems of jet flow past curvilinear obstacles. A condition is obtained which is identical to the well known Brillouin-Villat condition in fluid dynamics for smooth separation, the use of which enables one to determine the position of the transition point from the zone of steady treatment conditions into a region where the dissolution of the metal does not occur. The fixed shapes of the anode boundary are found for two cathode configurations.
Received 12 January 2009
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