TY - JOUR
T1 - Convenient formulæ for the drag on a prolate ellipsoid moving along its axis of symmetry perpendicular to a plane surface
AU - Verrelli, David I.
PY - 2014
Y1 - 2014
N2 - The drag coefficients for a prolate ellipsoid moving along its axis of symmetry, in the creeping flow regime, either towards or away from a plane surface are calculated. The plane surface may have either a no-slip boundary condition, corresponding to a solid wall, or a perfect slip condition, corresponding to a free surface.First the analytical solutions are employed to obtain exact values for the full range of feasible particle-plane gaps. Next, simple exact formulæ for the asymptotes at small and large gaps are presented. Finally, some convenient approximate formulæ are obtained that may be used across the full range of gaps.
AB - The drag coefficients for a prolate ellipsoid moving along its axis of symmetry, in the creeping flow regime, either towards or away from a plane surface are calculated. The plane surface may have either a no-slip boundary condition, corresponding to a solid wall, or a perfect slip condition, corresponding to a free surface.First the analytical solutions are employed to obtain exact values for the full range of feasible particle-plane gaps. Next, simple exact formulæ for the asymptotes at small and large gaps are presented. Finally, some convenient approximate formulæ are obtained that may be used across the full range of gaps.
UR - http://www.scopus.com/inward/record.url?scp=84904286927&partnerID=8YFLogxK
U2 - 10.1016/j.ijmultiphaseflow.2014.05.010
DO - 10.1016/j.ijmultiphaseflow.2014.05.010
M3 - Article
AN - SCOPUS:84904286927
VL - 65
SP - 138
EP - 142
JO - International Journal of Multiphase Flow
JF - International Journal of Multiphase Flow
SN - 0301-9322
ER -