A hybrid finite element–boundary element formulation of Poisson’s equation for axisymmetric vector potential problems

Salon, S.J.; Peng, Jian

doi:10.1063/1.330379

Cited by 19 publications

(4 citation statements)

References 2 publications

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“…to will give the thermal profile over the workpiece and other relevant parameters. Finally, the natural symmetry condition along the axis of symmetry is applied, that accounts for the magnetic vector potential as zero .…”

Section: Model Formulationmentioning

confidence: 99%

Electromagnetic‐Thermal Modeling of Induction Heating of Moving Wire

Jain

2015

Heat Trans. Asian Res.

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The strength in a high carbon wire is attributed to the pearlitic microstructure, which is required for ease of wire drawing. During cold drawing of high carbon steel wires, residual stress develops which has to be relieved in order to obtain the desired mechanical properties. To achieve this, the wire is passed through a closed loop online an induction furnace at a particular speed in order to heat it to a uniform temperature range. This research work presents the electromagnetic‐thermal modeling of the induction heating of a moving wire based on the finite element method using the software package, COMSOL MultiphysicsTM. The furnace had a complicated geometry for the coils and this is, perhaps, for the first time an exhaustive study which is being reported. A unique grid generation technique was developed considering the skin effect. This work is aimed at enabling modeling of the process and will in turn be useful when defining individual parameters affecting the temperature distribution in a component, subjected to induction heating. The temperature distribution in the work piece depends primarily on parameters like coil position, line speed, frequency of the current, thermal and magnetic properties of the work piece, and so on. The impact of power supply frequency and line speed were studied during the heating of the moving wire (workpiece). An in‐situ customized furnace of lower capacity was developed to carry out the validation experiments. The present modeling results are validated with online plant trial data and found to be in good agreement. Finally, the desired mechanical property achieved during trials was confirmed through tensile testing.

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Section: Model Formulationmentioning

confidence: 99%

Electromagnetic‐Thermal Modeling of Induction Heating of Moving Wire

Jain

2015

Heat Trans. Asian Res.

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“…In induction heating processes, the range of frequencies dealt with can go from 50Hz (low frequency for homogeneous heating) to several hundreds of MHz (high frequency for heat treatment applications). The magneto-quasi-static approximation consists in neglecting the displacement currents @D=@t in the Maxwell-Ampere equation (5). This approximation therefore leads to neglecting the propagation phenomena.…”

Section: 12mentioning

confidence: 99%

“…Most models do not carry out full coupling between electromagnetism, heat transfer and solid mechanics, but focus only on the electromagnetism=heat transfer coupling. Concerning the numerical methods, the coupling between inductor and workpiece is carried either through the use of a boundary element method [5] or through ÿnite elements [6]. In this last method, the air domain is also meshed and the electromagnetic equation is solved on the global domain made out of the air, the inductor and the workpiece.…”

Section: The Various Numerical Modelsmentioning

confidence: 99%

A numerical model for induction heating processes coupling electromagnetism and thermomechanics

Bay

Labbe

Favennec

et al. 2003

Numerical Meth Engineering

145

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International audienceThis paper presents a mathematical and numerical model developed for coupling the various physical phenomena (electromagnetic, thermal and mechanical) taking place in axisymmetrical induction heating processes. All three electromagnetic, thermal and mechanical models are time dependent and take full account of the electromagnetic and thermal non-linear effect especially with magnetic materials. The electromagnetic problem is discretized and solved in the workpiece, air and inductors. The heat transfer equation and the mechanical equilibrium equations are solved in the workpiece only, both using a finite element method. The mechanical model can take into account thermoelastic-plastic behaviour for the part. The model has been successfully applied to several cases of induction heating. Comparisons between numerical and experimental results show an excellent agreemen

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“…Dans une telle situation il semble naturel d'associer aux éléments finis une autre technique de calcul afin d'effectuer une modélisation fidèle d'un dispositif avec un coût raisonnable. C'est un choix souvent judicieux dans le cas bidimensionnel [3][4][5][6]11] mais qui devient alors crucial en trois dimensions [1,7]. Nous effectuons dans ce qui suit deux types de couplage dans le cadre d'une géométrie axisymétri-Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/rphysap:0198900240110104900 que : 1) une combinaison éléments finis/éléments de frontière ; 2) une combinaison éléments finis/développement analytique.…”

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Comparaison de techniques mixtes pour le calcul de courants de Foucault en géométrie axisymétrique

Pichon

Ayoub

Razek

1989

Rev. Phys. Appl. (Paris)

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Nous présentons et comparons dans cet article deux types de méthodes mixtes pour le calcul des courants de Foucault lors de la modélisation de systèmes électromagnétiques présentant une symétrie de révolution. Dans ces deux techniques, les éléments finis sont réservés aux parties massives du dispositif tandis que l'espace environnant est considéré ou bien par la méthode des éléments de frontière ou bien par le développement d'une solution analytique. Après avoir exposé les formulations employées et explicité les couplages réalisés, nous appliquons ces méthodes au calcul des courants de Foucault et comparons nos résultats numériques à ceux de l'expérience

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A hybrid finite element–boundary element formulation of Poisson’s equation for axisymmetric vector potential problems

Cited by 19 publications

References 2 publications

Electromagnetic‐Thermal Modeling of Induction Heating of Moving Wire

Electromagnetic‐Thermal Modeling of Induction Heating of Moving Wire

A numerical model for induction heating processes coupling electromagnetism and thermomechanics

Comparaison de techniques mixtes pour le calcul de courants de Foucault en géométrie axisymétrique

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