Laminar flow model of particle capture of axial magnetic filters

Birss, R R; Gerber, R.; Parker, M.R.; Sheerer, T.

doi:10.1109/tmag.1978.1060025

Cited by 24 publications

(20 citation statements)

References 4 publications

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“…The high symmetry associated with the axial capture configuration enables the elements of Newtonian fluid flow to be incorporated into a new theory of particle capture. Birss and colleagues in 1978 [22], [23] considered an idealized wire configuration in examining the fluid mechanics of the axial filter as a two-dimensional hexagonal cross-sectional array, as shown in Fig. 10.…”

Section: Review Of the Mathematical Modeling Of The Process A Cmentioning

confidence: 99%

“…The probability that a particle will not be captured is (21) where is the normalized capture radius, and consequently (21) will be (22) Except , all quantities in (20) are known. By calculating the average velocity of fluid in the capture and escape regions and assuming that (23) where is the normalized filter capture length, the equation of efficiency can be written as (24) In the cleaning of Newtonian liquids by using magnetic filtration, Sandulyak [26] has also presented a semiempirical relation as shown in the Table I, which is widely used for the estimation of the filter performance, that is (25) In this relation, is efficiency, is the magnetic particle fraction ( , magnetic particle concentration/total particle concentration), is the filter length, and is a sorption constant which characterize the magnetic and geometric properties of the system and is generally determined by empirical methods.…”

Section: Review Of the Mathematical Modeling Of The Process A Cmentioning

confidence: 99%

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Superconducting Magnetic Filter: Performance, Recovery, and Design

Eskandarpour

Iwai

Asai

2009

IEEE Trans. Appl. Supercond.

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Due to the development of superconducting magnets, the magnetic filtration process is now undergoing its biggest evolution since its conception. In Japan, the first industrial superconducting magnetic filter has been successfully applied for factory wastewater treatment. Much effort in both theory and practice is needed to further contribute to the new developments of this high gradient magnetic filtration process. In this substantial review, we have collected the most important theoretical and practical data about magnetic filtration, its recovery and design to establish a good framework for further development of this amazing technology.Index Terms-Electromagnetic processing of materials, high gradient magnetic field, superconducting filter, wastewater treatment.

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Section: Review Of the Mathematical Modeling Of The Process A Cmentioning

confidence: 99%

Section: Review Of the Mathematical Modeling Of The Process A Cmentioning

confidence: 99%

Superconducting Magnetic Filter: Performance, Recovery, and Design

Eskandarpour

Iwai

Asai

2009

IEEE Trans. Appl. Supercond.

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“…16) In a magnetic filter with randomly packed-ferromagnetic wires, magnetization and drag forces are assumed as the main forces acting on a paramagnetic particle passing through the filter, but the effect of the gravity and Archimedes forces are neglected due to fine size particles. [17][18][19][20][21][22][23][24][25][26][27] The main force in the magnetic separation is the magnetization force which is expressed as;…”

Section: Magnetic Filter Performancementioning

confidence: 99%

“…By assuming that the liquid flow is laminar with a uniform velocity of V m and low particle concentration, and the gradient of the magnetic flux density ٌB in the vicinity of the magnetically saturated ferromagnetic wires in the matrix of the magnetic filter is M s m 0 /a, the ratio of Considering f as the packing fraction of ferromagnetic wires located in a matrix, the ratio of escaping particles to particles entering in a magnetic filter may be obtained by the following equation. 18,25) ..................... (9) where L a is the normalized filter length defined as below. (10) where L is the length of a filter.…”

Section: Magnetic Filter Performancementioning

confidence: 99%

Semi-continuous Magnetic Removal of Phosphate Using an Iron Oxide Hydroxide Adsorbent and Regeneration of Its Adsorbent

et al. 2007

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“…Special cross-section matrix may have better magnetic characteristics and present better performance in HGMS. Despite the massive investigations into HGMS employing circular cross-section matrix [17][18][19][20][21][22][23][24], there is little literature investigating the magnetic characteristics and performance of special cross-section shape matrix in HGMS.…”

Section: Introductionmentioning

confidence: 99%

Effect of Matrix Shape on the Capture of Fine Weakly Magnetic Minerals in High-Gradient Magnetic Separation

Zheng

Wang

2016

IEEE Trans. Magn.

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The magnetic matrix is the core component of the high gradient magnetic separation (HGMS) system and plays a decisive role in the operation of the HGMS system. Cylinder matrix is the most commonly used matrix in HGMS. The matrix shape is a very important parameter influencing the performance of the HGMS system. Special cross-section matrix may have better magnetic characteristics and present better performance in HGMS. However, previous studies of the basic principles of HGMS are basically limited to those employing circular cross-section matrix. Investigations into the magnetic characteristic and performance of special cross-section shape matrix are scarce. In this article, the effect of matrix shape on the capture of fine weakly magnetic minerals in HGMS is investigated with the particle capture model. The matrix shape varies between circular cross-section and elliptic cross-section. The magnetic field and the flow field around the elliptic matrix are analytically calculated. The motion equations of particles around the elliptic matrix under different circumstances are derived and the particle motion trajectories are depicted. The particle capture radius and efficiency of the matrix with shape coefficient L h /L v (ratio of the horizontal axis to vertical axis of the matrix cross-section) ranging from 1/3 to 3 are calculated and compared, providing that the matrix area facing the incoming fluid is the same. The results indicate that there exists the optimal L h /L v value at which the capture radius and efficiency reach the maximum. The optimal L h /L v value increases with the increase of particle size and the decrease of matrix size. Within the L h /L v range of 1/3 to 3, the maximum particle capture efficiency (at the optimal L h /L v or at L h /L v =3) under some arrangements can be much higher than that of the circular matrix (at L h /L v =1), but the increment decreases with the increase of matrix size, the arrangement parameter d/L v and the decrease of particle size. The results provide a theoretical basis for the application of elliptic matrix in HGMS as well as a reference for the development of other novel magnetic matrix in HGMS.

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Laminar flow model of particle capture of axial magnetic filters

Cited by 24 publications

References 4 publications

Superconducting Magnetic Filter: Performance, Recovery, and Design

Superconducting Magnetic Filter: Performance, Recovery, and Design

Semi-continuous Magnetic Removal of Phosphate Using an Iron Oxide Hydroxide Adsorbent and Regeneration of Its Adsorbent

Effect of Matrix Shape on the Capture of Fine Weakly Magnetic Minerals in High-Gradient Magnetic Separation

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