2018
DOI: 10.15199/48.2018.03.01
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Field models of induction heating for industrial applications

Abstract: In the paper, a benchmark in the area of induction heating is revisited in order to test methods and codes of field analysis in a comparative way. In particular, the transient thermal analysis of a steel-made cylindrical billet is considered: the coupled-field problem is non-linear and multiphysics. After briefly describing the benchmark problem, the results from a finite-difference solver and two finite-element solvers are presented and compared. Streszczenie. W artykule przywołano wzorzec (benchmark) w obsza… Show more

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Cited by 8 publications
(4 citation statements)
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“…It is worth noting that only one half of the gear tooth was modeled, and two symmetry planes were imposed in order to improve the computational efficiency. The implemented material properties of C45 steel were taken from the literature [47][48][49][50][51]. According to the LHS design of experiments (DoE) [52], a total of 20 FE simulations were generated, as shown in Fig.…”
Section: Problem Statement: Process and Datamentioning
confidence: 99%
“…It is worth noting that only one half of the gear tooth was modeled, and two symmetry planes were imposed in order to improve the computational efficiency. The implemented material properties of C45 steel were taken from the literature [47][48][49][50][51]. According to the LHS design of experiments (DoE) [52], a total of 20 FE simulations were generated, as shown in Fig.…”
Section: Problem Statement: Process and Datamentioning
confidence: 99%
“…It is worth mentioning that the model has two symmetry planes and hence only half of the gear tooth was modeled to improve the computational efficiency. The implemented material properties of C45 were taken from literature and JmatPro database [16][17][18][19][20]. To simulate heating, FORGE ® uses two coupled solvers.…”
Section: Process and Datamentioning
confidence: 99%
“…The direct problem solves a magnetic field analysis coupled to a thermal transient, for a given geometry of the inductor and given value of supply current. The magnetic problem is solved in time-harmonics conditions in the magnetic vector potential, A ̇, and scalar electric potential, V ̇, using a finite element model imposing the gauge of Coulomb,∇ ⋅ A ̇ = 0(Di Barba et al , 2008; Meunier, 2008; Morisue, 1993, 1990): where µ 0 and µ r are the vacuum and relative magnetic permeability, respectively ( µ r = constant in the core region, µ r = f(H,T) in tube region, depending on T , temperature, and H , magnetic field, µ r = 1 in other regions); σ is the conductivity of the material ( σ = f(T) in the tube) and ω = 2 πf with f frequency of the supplied current (Di Barba et al , 2018d, 2018e). The typical mesh for the magnetic problem discretizes the geometry in Figure 1 in 64,300second-order elements, and, typically, it is composed of 145,600 nodes.…”
Section: Direct and Inverse Problemmentioning
confidence: 99%
“…The problem governed by equations (1)-(4) is a two-way coupled because the material properties are temperature and field-dependent, as shown in Figure 2 (Di Barba et al , 2018d, 2018e).…”
Section: Direct and Inverse Problemmentioning
confidence: 99%