Mathematical modeling of the heat process in closure electrical contacts with a heat source

Nauryz T. Kassabek S.A.
December 2023 Elsevier Ltd

International Journal of Non-Linear Mechanics
2023 #157

This study presents a mathematical model that describes the heat process during the vaporization of metal at electrical contacts. The arc erosion model for the micro-asperity in the liquid state is established using a one-phase Stefan problem. Two problems involving Joule heating effects on the generalized heat equation are considered. The solution of these two problems is based on the similarity principle, which allows for the reduction of the problem to ordinary differential equations. The existence and uniqueness of the solutions are proven using fixed point theory in a Banach space. Additionally, a solution for the particular case of constant thermal coefficients is provided.

Generalized heat equation , Nonlinear Stefan problem , Temperature depended thermal coefficients

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Kazakh-British Technical University, International School of Economics, Institute of Mathematics and Mathematical Modeling, Narxoz University, School of Digital Technologies, Almaty, Kazakhstan
Astana IT University, Department of Computational and Data Science, Astana, Kazakhstan

Kazakh-British Technical University
Astana IT University

10 лет помогаем публиковать статьи Международный издатель

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