Particle capture efficiency in a multi-wire model for high gradient magnetic separation. Griffiths, A.&nbsp;E. A. D. V. A. I.<nbsp>M. Applied Physics Letters, 105(3):033508, July, 2014.
doi  abstract   bibtex   
High gradient magnetic separation (HGMS) is an efficient way to remove magnetic and paramagnetic particles, such as heavy metals, from waste water. As the suspension flows through a magnetized filter mesh, high magnetic gradients around the wires attract and capture the particles removing them from the fluid. We model such a system by considering the motion of a paramagnetic tracer particle through a periodic array of magnetized cylinders. We show that there is a critical Mason number (ratio of viscous to magnetic forces) below which the particle is captured irrespective of its initial position in the array. Above this threshold, particle capture is only partially successful and depends on the particle's entry position. We determine the relationship between the critical Mason number and the system geometry using numerical and asymptotic calculations. If a capture efficiency below 100% is sufficient, our results demonstrate how operating the HGMS system above the critical Mason number but with multiple separation cycles may increase efficiency.
@article{ evg2014,
  author = {Almut Eisentr̈{a}ger AND Dominic Vella AND Ian M. Griffiths},
  title = {Particle capture efficiency in a multi-wire model for high gradient
	magnetic separation},
  journal = {Applied Physics Letters},
  year = {2014},
  volume = {105},
  pages = {033508},
  number = {3},
  month = {July},
  eid = {033508},
  abstract = {High gradient magnetic separation (HGMS) is an efficient way to remove
	magnetic and paramagnetic particles, such as heavy metals, from waste
	water. As the suspension flows through a magnetized filter mesh,
	high magnetic gradients around the wires attract and capture the
	particles removing them from the fluid. We model such a system by
	considering the motion of a paramagnetic tracer particle through
	a periodic array of magnetized cylinders. We show that there is a
	critical Mason number (ratio of viscous to magnetic forces) below
	which the particle is captured irrespective of its initial position
	in the array. Above this threshold, particle capture is only partially
	successful and depends on the particle's entry position. We determine
	the relationship between the critical Mason number and the system
	geometry using numerical and asymptotic calculations. If a capture
	efficiency below 100% is sufficient, our results demonstrate how
	operating the HGMS system above the critical Mason number but with
	multiple separation cycles may increase efficiency.},
  doi = {10.1063/1.4890965},
  file = {evg2014.pdf:evg2014.pdf:PDF},
  owner = {eisentraeger},
  timestamp = {2014.07.18}
}

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