Open AccessMathematical model of heat transfer in opening electrical contacts with tunnel effect
Author(s) -
Merey M. Sarsengeldin,
N Stanislav Kharin,
Zhangir Rayev,
Yermek Khairullin
Publication year - 2018
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1803003s
Subject(s) - heat transfer , mechanics , mathematics , series (stratigraphy) , cathode , anode , thermal , domain (mathematical analysis) , imperfect , mathematical analysis , thermodynamics , electrical engineering , chemistry , physics , engineering , electrode , paleontology , linguistics , philosophy , biology
The mathematical model describing the dynamics of heating in opening electrical contacts is presented. It takes into account the imperfect thermal contact between anode and cathode due to tunnel effect. The model is based on the system of spherical heat equations in a domain with moving boundary. The analytical solution is found in the form of series containing the integral error functions.