On longitudinal motion in a magnetic field

1960 ◽  
Vol 9 (3) ◽  
pp. 455-464 ◽  
Author(s):  
H. P. Greenspan
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Exact Solution ◽  
Density Distribution ◽  
Current Density ◽  
Current Density Distribution ◽  
Longitudinal Motion ◽  
Conducting Plate ◽  
Electric And Magnetic Fields ◽  
Oblique Magnetic Field

An exact solution is presented of the equations and boundary conditions governing the steady longitudinal motion of a semi-infinite non-conducting plate in an oblique magnetic field. The discussion covers the distortion of the boundary layer, the structure of the induced electric and magnetic fields, the current-density distribution, and the behaviour of the fields near the edge of the plate.

Visualization of spatial conductivity irregularities within conductive rubber sheets

2016 ◽  
Vol 35 (4) ◽  
pp. 1393-1402 ◽  
Author(s):  
Helmut Wernick ◽  
Patrick Hoelzl ◽  
Bernhard G. Zagar
Keyword(s):  
Magnetic Field ◽  
Density Distribution ◽  
Current Density ◽  
Measurement Method ◽  
Current Density Distribution ◽  
Contactless Measurement ◽  
Rubber Sheet ◽  
Content Type ◽  
Conductivity Distribution ◽  
Conductive Rubber

Purpose – The purpose of this paper is to present a fast and contactless measurement method to determine the spatial conductivity distribution within an intrinsically conducting polymer, more precisely a conductive rubber sheet specimen. As a consequence of the manufacturing process and the material composition, the conductivity distribution within the sheet is assumed to be inhomogeneous. Design/methodology/approach – The current density distribution within the conductive rubber sheet due to an excitation current is estimated from the measured magnetic field distribution. Therefore, a GMR sensor is used to spatially sample the magnetic field above the specimen. Based on the estimated current density distribution and alternatively the local power dissipation calculated from a thermal image, the conductivity distribution within the specimen is determined. For comparison a reference measurement with a classical resistivity probe is done. Findings – The measurement results show a good agreement between the developed and the classical method. Moreover, the developed measurement method requires less time and still offers a higher spatial resolution. Originality/value – The presented results demonstrate the potential of the developed measurement method for determining the conductivity distribution within thin and planar specimens. Furthermore, conclusions can be drawn about the material homogeneity of the used test specimen.

scholarly journals Current Density Distribution in 2G HTS Tape in an External Magnetic Field

2015 ◽  
Vol 67 ◽  
pp. 931-938 ◽  
Author(s):  
S.S. Fetisov ◽  
D.V. Sotnikov ◽  
S. Yu. Zanegin ◽  
N.V. Bykovsky ◽  
I.P. Radchenko ◽  
...  
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Density Distribution ◽  
Current Density ◽  
Current Density Distribution

scholarly journals Analytical magnetic field calculation for flat permanent-magnet linear machines with dual-rotor by using improved two-dimensional hybrid analytical method

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Brahim Ladghem Chikouche ◽  
Kamel Boughrara ◽  
Dubas Frédéric ◽  
Rachid Ibtiouen
Keyword(s):  
Magnetic Field ◽  
Density Distribution ◽  
Relative Permeability ◽  
Current Density ◽  
Analytical Method ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Current Density Distribution ◽  
Two Dimensional ◽  
Content Type

Purpose This paper aims to propose an improved two-dimensional hybrid analytical method (HAM) in Cartesian coordinates, based on the exact subdomain technique and the magnetic equivalent circuit (MEC). Design/methodology/approach The magnetic field solution is obtained by coupling an exact analytical model (AM), calculated in all regions having relative permeability equal to unity, with a MEC, using a nodal-mesh formulation (i.e. Kirchhoff’s current law) in ferromagnetic regions. The AM and MEC are connected in both axes (x, y) of the (non-)periodicity direction (i.e. in the interface between the tooth regions and all its adjacent regions as slots and/or air-gap). To provide accuracy solutions, the current density distribution in slot regions is modeled by using Maxwell’s equations instead of the MEC characterized by an equivalent magnetomotive force (MMF) located in slots, teeth and yokes. Findings It is found that whatever the iron core relative permeability, the developed HAM gives accurate results for no- and on-load conditions. The finite-element analysis demonstrates excellent results of the developed technique. Originality/value The main objective of this paper is to make a direct coupling between the AM and MEC in both directions (i.e. x- and y-edges). The current density distribution is modeled by using Maxwell’s equations instead of the MEC and characterized by an MMF.

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