Mathematical Model of Heat Transfer in Opening Electrical Contacts with Tunnel Effect

被引：4

作者：

Sarsengeldin, Merey M. ^{[1
,2
]}

Kharin, Stanislav N. ^{[2
,3
]}

Rayev, Zhangir ^{[4
]}

Khairullin, Yermek ^{[5
]}

机构：

[1] Satbayev Univ, Sigma LABS, Alma Ata, Kazakhstan

[2] Inst Math & Math Modeling, Alma Ata, Kazakhstan

[3] Kazakh British Tech Univ, Alma Ata, Kazakhstan

[4] Suleyman Demirel Univ, Kaskelen, Kazakhstan

[5] Satbayev Univ, Alma Ata 050013, Kazakhstan

来源：

FILOMAT | 2018年 / 32卷 / 03期

关键词：

Heat transfer; electrical contacts; tunnel effect;

D O I：

10.2298/FIL1803003S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1003 / 1008

页数：6

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