Maximum inclination path for laminar settling of axisymmetric particles inviscous fluids

Previous researchers' asymptotic result stating that a settling long axisym metric body can deviate from the vertical by a maximum angle of gamma(max) = 19.5 degrees is generalized, and corresponding relations are found for se ttling prolate and oblate spheroid particles of arbitrary aspect ratios. Al so, a formula for maximum inclination paths for a particle settling in a ro tating vessel is derived. The presented formulas can be used in addressing the problem of hydrodynamic separation of particles or macromolecules of di fferent shapes.