Modelisation of Permeability as a Function of Induction and Temperature by the Brillouin’s Function for the Formalization of the Magnetothermal Problem

Boudjemaa Merouane; Mohamed Sebbani

doi:10.4028/www.scientific.net/AMR.941-944.677

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 941-944Modelisation of Permeability as a Function of...

Modelisation of Permeability as a Function of Induction and Temperature by the Brillouin’s Function for the Formalization of the Magnetothermal Problem

Abstract:

In induction heating, one is often brought to solve the system of coupled equations:Thermal physical caracteristics (calorific capacity and thermal conductivity.) and electromagnetic (permeability, susceptibility, reluctivity, permittivity, electric conductivity) depend on the temperature for the first, the temperature and the magnetic or electric field for the seconds.The modelisation of the permeability according to the only applied field magnetic abounds in the scientific literature. But, its modelisation as a function of the applied field and also temperature is rather rare.The goal of this work is thus to establish this double modelisation.In this intention, we will use the heat equation, the Maxwell's equations and the function of Brillouin, wich is the physical and formally basis of this modelisation.

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Periodical:

Advanced Materials Research (Volumes 941-944)

Pages:

677-683

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.941-944.677

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Online since:

June 2014

Authors:

Boudjemaa Merouane, Mohamed Sebbani

Keywords:

Analytical Formulation, Brillouin Function, Induction, Permeability, Temperature

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