The theory of filtration efficiency and filter impedance in axially ordered
magnetic filters in conditions of laminar flow is described. The now profi
le of the suspension that flows axially along the longitudinally ordered wi
res is determined by the Kuwabara-Happel cell model. Expressions for both f
ilter impedance and filtration efficiency are obtained. In general, they ar
e different from those predicted by previous filtration theories in ideal f
low conditions. The derived theoretical formulas are simplified so they can
be used easily in engineering applications. The results are compared with
the experimental ones presented in the literature, and it is seen that they
are consistent with each other.