Numerical study of the drag on a fluid sphere

Drag on a single fluid sphere translating in power-law liquids at moderate Reynolds numbers

“…Therefore, a very fine grid (extending beyond the theoretical boundary layer thickness) is required near the vicinity of the interface. An exponentially stretching (r = e y ) transformation has been used in the radial direction in the outer fluid domain, as used by many others (Juncu, 1999;Feng and Michaelides, 2001;Saboni and Alexandrova, 2002). This transformation provides a very fine mesh near the interface which captures the boundary layer thickness with adequate accuracy.…”

Universal Dripping and Jetting in a Transverse Shear Flow

“…The Re p in our experiments, however, ranges from 2 < Re p < 150, so we solve Eq. (3) iteratively using an expression for C d given by Saboni and Alexandrova [14] appropriate for our intermediate Re p case, which amounts to a 35% correction in the drop diameter for the highest Re p . Moreover, we compute the shear rate from our measured volumetric flow rate Q CP , using an analytical solution by White [15], to derive the expression dv dz ¼ 9:7Q CP =H 1:67 W 1:33 .…”

“…p [14], which was derived for liquid spheres in translational motion (in the absence of a wall), canceling Oh CP :…”

The dynamics of single air bubbles and alcohol drops in sunflower oil at various temperatures

“…Finally, the fourth correlation is from Saboni and Alexandrova, 36 which is suitable for the drops having 0.01 \ Re \ 400:…”