Flux-line

N. Ashgriz and J.Y. Poo, FLAIR Flux Line-Segment Model for Advection and Interface Reconstruction, J. Comput. Phys. 93 (1991). 

In dc magnetic applications, an air-gap is usually required somewhere along the magnetic path of the core. In ferrite cores, the gap is placed in the center-leg of the core. The flux leaves one end of the core and flows towards the opposing end. The flux, though, repels itself and causes the flux lines to bulge out away from the centerline of the core. The presence of an air-gap creates an area... 

Plot this point on Figure 10-123 and connect-with the 222°F point to get the fouled flux line. 

Figure 4-227. Magnetic flux-lines representation in a highly permeable iron alloy core.

Each time the external lines of flux are drawn into the core, they pass through the sense windings B-B to generate a voltage pulse whose amplitude is proportional to the intensity of that component of the external field that is parallel to the centerline of the sense winding. The polarity, or direction of this pulse, will be determined by the polarity of the external field with respect to the sense windings. When the flux lines are expelled from the core they cut the sense... 

The two-point correlation function has been worked out explicitly by Berkolaiko et.al. (2001) and has been shown to coincide with the statistics of so-called Seba billiards, that is, rectangular billiards with a single flux line. The first few terms in a power series expansion of the form factor have been derived by Kottos and Smilansky (1999) and Berkolaiko and Keating (1999) and yield... 

Figure 6.64 Schematic illustration of Meissner effect in which magnetic flux lines that (a) normally penetrate the material are (b) expelled in the superconducting state.

Fig. 2.2. The Madelung field of the same projections as Fig. 2.1 with one ion removed from the top right showing the rearrangement of the flux lines (from Preiser et al. 1999).

NO2 ). When the dipole is present the flux lines, hence the ligands, are shifted towards the positive axis, leading to a reduction in the O-M-O angle. This reduction in NO2 is limited by the repulsion between the ions whose separation cannot be less than This, taken from Fig. 6.4, is 213 pm and corresponds to the observed O-M-O angle of 115°. In this case the non-existence of NOj", as well as the geometry of NO2, are both determined by anion-anion repulsion. For all the other ions, the 0-0 distance exceeds so the geometry is primarily determined by other factors. 

Because of the shift in the flux lines, one might expect the ligands to lie in the plane represented in Fig. 8.1 by the heavy line which divides the flux into two equal portions. This plane is given (in polar coordinates r, 6) by eqn (8.2) ... 

Fig. 8.8. Schematic view of the flux lines induced by the dipole on the d° transition metal (the central atom) in the -O-M-O- system (M = transition metal).

Alternatively if all four kinds of critical point are chosen as vertices, one gets a partitioning into fragments which each contain the flux lines of a single bond. The surfaces of the bond fragment are zero flux surfaces, i.e. no field lines cross into or out of the bond fragment. In this interpretation, each bond occupies a finite space and every point in space belongs to one and only one bond. 

Complies with the technical specifications in the operation manual of pickling and fluxing line. 

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