Yu. S. Mostika, V. I. Karmazin, V. Shutov
Physical Separation in Science and Engineering
The results of a numerical solution of equations of the motion of a paramagnetic particle in the working gap of a magnetic separator for various values of magnetic induction (from 0.2 to 2 T) and the particle diameter (from 10 µm to 1 mm) show that along the particle trajectory various types of flow modes: e.g. laminar, transitional and turbulent can be present. It is also shown that some of the well-known formulae approximating the experimental dependence of the hydrodynamic drag coefficient on Reynolds number Re (the so-called standard hydrodynamic drag curve) as a step-smooth function, do not ensure the condition of continuity of the hydrodynamic drag on the boundaries of the range of values Re for which these formulae were obtained. One of the variants of approximation of the standard hydrodynamic drag curve for the case where along the same trajectory various types of regimes of flow-around a particle are present, is proposed.