Magnetic flux density distribution in superconducting cylinders of arbitrary cross section subjected to an axial magnetic field

1982 ◽  
Vol 53 (7) ◽  
pp. 5104-5110
Author(s):  
G. Fournet
Keyword(s):  
Magnetic Field ◽  
Magnetic Flux ◽  
Density Distribution ◽  
Flux Density ◽  
Cross Section ◽  
Axial Magnetic Field ◽  
Arbitrary Cross Section ◽  
Magnetic Flux Density ◽  
Flux Density Distribution

Effects of External Transverse Alternating Magnetic Field on the Heat Flux Density Distribution of Atmospheric Pressure Plasma Arc

2010 ◽  
Vol 143-144 ◽  
pp. 1439-1444
Author(s):  
Jian Bing Meng ◽  
Xiao Juan Dong ◽  
Wen Ji Xu
Keyword(s):  
Magnetic Field ◽  
Heat Flux ◽  
Magnetic Flux ◽  
Density Distribution ◽  
Flux Density ◽  
Heat Flux Density ◽  
Alternating Magnetic Field ◽  
Magnetic Flux Density ◽  
Plasma Arc ◽  
Flux Density Distribution

A theoretical analysis was carried out to investigate the characteristics of atmospheric pressure plasma arc injected transverse to a transverse alternating magnetic field and a mathematical model was developed to describe the heat flux density distribution of the plasma arc. The effect of processing parameters, such as flow rate of working gas, arc current, magnetic flux density and the standoff from the nozzle to the workpiece, on the heat flux density distribution of plasma arc were also analyzed. The results show that it is feasible to adjust the heat flux density of the plasma arc by the transverse alternating magnetic field, which can expand the region of plasma arc thermal treatment and flatten the heat flux density upon the workpiece. With the magnetic flux density enhancing, the heat flux density gradient upon the workpiece decreases. Under the same magnetic flux density, the more gas flow rate and arc current, the more heat flux density peak increase. Contrarily, more distance from nozzle outlet to workpiece descends the heat flux density peak.

scholarly journals Distributed Magnetic Flux Density on the Cross-Section of a Transformer Core

Electronics ◽  
2019 ◽  
Vol 8 (3) ◽  
pp. 297 ◽  
Author(s):  
Lingzhi Li ◽  
Xuhao Du ◽  
Jie Pan ◽  
Adrian Keating ◽  
David Matthews ◽  
...  
Keyword(s):  
Magnetic Flux ◽  
Flux Density ◽  
Cross Section ◽  
Air Gap ◽  
Magnetic Flux Density ◽  
The Core ◽  
The Cross ◽  
Flux Density Distribution ◽  
Transformer Core ◽  
The Relationship

In this paper, the magnetic flux density distribution on the cross-sections of a transformer core is studied. The core for this study consists of two identical U-shaped cores joint at their open surfaces with known air gaps. The magnetic flux density at one of their joint boundary surfaces was measured for different air gaps. A finite element model (FEM) was built to simulate the magnetic flux density and compared with experiment data. Using the validated FEM, the distributed magnetic flux density on the cross-section of the core structure can be obtained when the air gap approaches zero. An engineering model of the density based on the Ampere’s circuit law was also developed and used to explain the relationship between air gap and mean magnetic flux density on the cross-section. The magnetic flux density on the cross-section was found to have a convex-shaped distribution and could be described by an empirical formula. Using this approach, the magnetic flux density distribution in cores with different interlayer insulation was obtained and discussed. This method could also examine the leakage of magnetic flux density in the air gap region when the distance is non-zero, and the relationship between the leakage field and the field in the core structure. The proposed method and model can provide a more detailed understanding for the magnetic field of transformer cores and potential application in designing quiet transformers and condition monitoring.

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