The Prediction of Current Distribution in Induction Heating Installations

Dudley, Richard F.; Burke, P. E.

doi:10.1109/tia.1972.349783

Cited by 31 publications

(7 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…There are two vortices induced by electromagnetic force for each quarter of the droplet, which were observed in many works. [15,16,[23][24][25][26] The isotherm lines of ours and those in Reference 15 are very familiar, with a relative error of less than 0.5 pct. The maximum velocity by our calculation is 4.47 cm/s, very close to that of 4.39 cm/s.…”

Section: B Fluid Flow and Temperature Fieldsmentioning

confidence: 85%

“…[20] Applying an extra static magnetic field, the sample in electromagnetic levitation device appears to be more stable [21][22][23] Tsukada and coworkers [24,25] suggested the measurement of thermal conductivity of molten Si can be implemented precisely when a static magnetic field of 4T is applied. In most previous work, the calculations of magnetic field were usually based on an old algorithm of mutual inductance [26] which derived the vector potential from Maxwell equations for simplification and considered current distribution in coils as a constant value. Thus, eddy effect of coils was ignored.…”

Section: Introductionmentioning

confidence: 99%

“…In fact, considerable errors happen in this simplification and many works suggested that the calculation of magnetic field in high frequency should solve the vector potential and scalar potential simultaneously. [26] In this paper, we calculate the original form of Maxwell equations in electromagnetic levitation device based on the finite element method (FEM) and present a comparison of considering and ignoring the eddy effect of coils, providing more accurate calculations of magnetic, flow, and temperature fields. In the following sections, the current arrangement in coils is discussed first and a quadrupole-heating model is adopted.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The Influence of Eddy Effect of Coils on Flow and Temperature Fields of Molten Droplet in Electromagnetic Levitation Device

Lin

Shi

2015

Metall Mater Trans B

View full text Add to dashboard Cite

In this work, the influence of eddy effect of coils on magnetic, flow, and temperature fields in an electromagnetically levitated molten droplet was investigated by a serial of axisymmetric numerical simulations. In an electromagnetic levitation device, both metal droplet and coils are conductive materials, therefore the distributions of current density in them should be nonuniform as a result of the eddy effect. However, in previous works, the eddy effect was considered alone in metal droplet but ignored in coils usually. As the distance of coils and metal droplet is several millimetres in general, the non-uniform distribution of current density in coils actually gives important influences on calculations of magnetic, flow, and temperature fields. Here, we consider the eddy effect both in metal droplet as well as that in coils simultaneously. Lifting force, absorbed power, fluid flow, and temperature field inside a 4-mm radius molten copper droplet as a typical example are then calculated and analyzed carefully under such condition. The results show that eddy effect leads to higher magnetic force, velocity, and temperature in both levitating and melting processes than those when the eddy effect is ignored. What is more, such influence increases as the distance of droplet and coils becomes closer, which corresponds to experimental measurement. Therefore, we suggest that eddy effect of coils should be considered in numerical simulation on this topic to obtain more reliable result.

show abstract

Section: B Fluid Flow and Temperature Fieldsmentioning

confidence: 85%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Influence of Eddy Effect of Coils on Flow and Temperature Fields of Molten Droplet in Electromagnetic Levitation Device

Lin

Shi

2015

Metall Mater Trans B

View full text Add to dashboard Cite

show abstract

“…Even so, the open-bounded nature of the EM field problem means that most techniques require additional gridding of the free space surrounding the melt and coil, significantly reducing computational efficiency. This led to the development of formulations based on the integral form of the Maxwell equations which eliminate the need to grid the free space [30][31][32][33]. One such method, the mutual inductance technique, was employed by El-Kaddah and the authors [34] to model the flow in a solidifying EM stirred melt.…”

Section: Introductionmentioning

confidence: 99%

On the Influences of Adjacent Conducting Media and Coil Frequency on the Electromagnetic Field and Flow Characteristics in Solidifying Melts

Poole¹,

Nastac

2015

Journal for Manufacturing Science and Production

View full text Add to dashboard Cite

This paper examines the electromagnetic and flow field modification caused by the placement of electrically conducting media in the vicinity of the coil and molten metal and the corresponding influences of coil operating frequency. The electromagnetic field characteristics were numerically calculated using the mutual inductance technique. An improved dual-zone model was employed to describe flow behavior in the mushy region, and accounts for flow damping via interactions between the crystallites and the turbulent eddies. Calculations were performed for unidirectional solidification of an Al-4.5 wt% Cu alloy in a bottom-chill mold undergoing EM stirring. It was found that the presence of shields greatly modified the Lorentz force distribution within the melt. This led to noteworthy changes in the flow directionality, as well as changes in the spatial variation of temperature as solidification progressed. It was also found that these effects were most pronounced at low frequencies. The significance of these findings with respect to solidification process design will be discussed.

show abstract

“…The early numerical solutions to eddy current problems were generally obtained using Finite Difference [1,2] or Volume Integral Equation methods, the latter being primarily of the Modal Solution [3] or the Coupled Circuit [4] type. Then, the Finite Element method was applied to 2-D eddy current problem [5].…”

Section: Introductionmentioning

confidence: 99%

A proof of boundary integral equations of minimum order for the calculation of 3-D eddy current problem

Fang

Wang²,

Hong³

ASICON 2001. 2001 4th International Conference on ASIC Proceedings (Cat. No.01TH8549)

View full text Add to dashboard Cite

show abstract

The Prediction of Current Distribution in Induction Heating Installations

Cited by 31 publications

References 2 publications

The Influence of Eddy Effect of Coils on Flow and Temperature Fields of Molten Droplet in Electromagnetic Levitation Device

The Influence of Eddy Effect of Coils on Flow and Temperature Fields of Molten Droplet in Electromagnetic Levitation Device

On the Influences of Adjacent Conducting Media and Coil Frequency on the Electromagnetic Field and Flow Characteristics in Solidifying Melts

A proof of boundary integral equations of minimum order for the calculation of 3-D eddy current problem

Contact Info

Product

Resources

About