A theory of capture of magnetic particle carried by laminar flow of viscous
non-Newtonian (power law) fluid in axially ordered filters is presented. T
he velocity profile of the fluid flow is determined by the Kuwabara-Happel
cell model. For the trajectory of the particle, the capture area and the fi
lter performance simple analytical expressions are obtained. These expressi
ons are valid for particle capture processes from both Newtonian and non-Ne
wtonian fluids. For this reason the obtained theoretical results make it po
ssible to widen the application of high-gradient magnetic filtration (HGMF)
to other industrial areas. For Newtonian fluids the theoretical results ar
e shown to be in good agreement with the experimental ones reported in the
literature.