 | | 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
(print version) |
Archive of Issues
| Total articles in the database: | | 10482 |
| In Russian (ÏÌÌ): | | 9683
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| In English (J. Appl. Math. Mech.): | | 799 |
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| N.M. Minazetdinov, "A hydrodynamic interpretation of a problem in the theory of the dimensional electrochemical machining of metals," J. Appl. Math. Mech. 73 (1), 41-47 (2009) |
| Year |
2009 |
Volume |
73 |
Issue |
1 |
Pages |
41-47 |
| Title |
A hydrodynamic interpretation of a problem in the theory of the dimensional electrochemical machining of metals |
| Author(s) |
N.M. Minazetdinov (Naberezhnye Chelny, Russia, matem@kampi.ru) |
| 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. |
| References |
| 1. | I.I. Moroz, G.A. Alekseyev and O.A. Vodyanitskii et al., The Electrochemical Machining of Metals, Mashinostroyeniye, Moscow (1969). |
| 2. | F.V. Sedykin, The Dimensional Electrochemical Machining of Machine Parts, Mashinostroyeniye, Moscow (1976). |
| 3. | M.V. Scherbak, M.A. Tolstaya and A.P. Anisimov et al., Principles of the Theory and Practice of the Electrochemical Treatment of Metals and Alloys, Mashinostroyeniye, Moscow (1981). |
| 4. | A.D. Davydov and Ye. Kozak, High-Speed Electrochemical Forming, Nauka, Moscow (1990). |
| 5. | V.V. Klokov, Electrochemical Forming, Izd Kazan Univ, Kazan (1984). |
| 6. | L.M. Kotlyar and N.M. Minazetdinov, Determination of the shape of the anode taking into account the electrolyte properties in problems of the electrochemical dimensional machining of metals, Zh Prikl Mekh Tekh Fiz 44 (3) (2003), pp. 170–184. |
| 7. | M.A. Lavrent’ev and B.V. Shabat, Methods of the Theory of Functions of a Complex Variable, Nauka, Moscow (1987). |
| 8. | F.V. Sedykin, B.P. Orlov and V.F. Matasov, Investigation of the anode current yield in electrochemical machining using a constant and pulsed voltage, Tekh Mashinostroyeniye Tula 39 (1975), pp. 3–10. |
| 9. | Klokov V.V., Kosterin A.V., Nuzhin M.T. The application of inverse boundary-value problems in the theory of dimensional electrochemical machining. In Proc Seminar on Boundary-Value Problems. Kazan; 1972, 9, 132–40. |
| 10. | M.I. Gurevich, The Theory of Jets in on Ideal Fluid, Pergamon, Oxford (1996). |
| 11. | G. Birkhoff and E. Zarantonello, Jets, Wakes and Cavities, Academic Press, New York (1957). |
|
| Received |
02 April 2008 |
| Link to Fulltext |
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