Affiliation:
1. Institute of Mathematics of the National Academy of Sciences of Kazakhstan
2. Kazakh-British Technical University and Suleyman Demirel University, Kazakhstan
Abstract
This paper presents the quasi-stationary Stefan problem in symmetric electrical contacts.The method of the solution can be obtained from the suggestion that the identity of equipotential and isothermal surfaces in contacts, which is correct for stationary fields in linear case, keeps safe for non-linear case as well. The idea is,transform the system of problem which is given in cylindrical coordinates into ellipsoidal coordinates.The analytical solution of stationary Stefan problem is found. Based on that decision was constructed the temperature profile to the approximate solution of heat problem with Joule heating in ellipsoidal coordinates.
Keywords: quasi-stationary model, Stefan problem, integral method.
Publisher
National Academy of Sciences of the Republic of Kazakshtan
Reference2 articles.
1. [1] S.N. Kharin, H. Nouri and T. Davies, “The Mathematical Models of Welding Dynamics in Closed and Switching Electrical Contacts”, Proc. 49th IEEE Holm Conference on Electrical Contacts, Washington, USA, 2003, pp. 128-146
2. [2] Ким Е. И., Омельченко В. Т., Харин С.Н. Математические модели тепловых процессов в электрических контактах, Наука, Алма-Ата, стр-46-47, (1977).
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2 articles.
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