"Pipe-Layer" Model of the Magnetized Chain of Spheres: Magnetic Properties and Assessment of the Hhyper-Amplification Field Between the Spheres

Abstract

A chain of granules is the magnetic flux conductive channel in the magnetized granular material. Experimental data on magnetic fluxes were obtained for eight conditional cores (different relative radii rc / R = 0.2--0.9) of the magnetized chain of spheres making it possible to establish the magnetic flux data for seven "pipe-layers" of the rp / R = 0.25--0.85 average radius. In the H magnetized field strength range from 10 to 50--55 kA/m, field dependences of this parameter and of the more universal parameter (independent of the radius of the spheres in the chain) of the magnetic flux density, i.e., magnetic induction in each "pipes", are close to the linear ones. Thus, the values of their magnetic permeability μp which are individual for different "pipes", turn out to be essentially constant in this range of H, which also carries important information about how many times the local field intensity h between the spheres exceeds the value of H. At rp / R ≤ 0.4, the h values are exceeding by an order of magnitude or more the H value, and at rp / R > > 0.4 and up to the periphery of the inter-sphere --- by several times. The μp = h / H decreasing dependence on rp / R, which is of interest in solving problems of the materials fine magnetic separation (using the magnetized matrix media), obeys the inverse quadratic function, and the field inhomogeneity level to the inverse cubic function