Theoretical studies of droplet deformation in finite Reynolds number flows

摘要

Abstract: ical technique is presented for the study of drops and particles in three-dimensional flows. Solutions have been obtained for uniform flow past drops, and for linear shear flows past particles and drops. The results indicate that, at low Reynolds (Re) and finite Weber (We) numbers, the drops deform to spherical cap shapes; as the Reynolds number is increased, the shapes become ellipsoidal. Coincident with the ellipsoidal shapes is the appearance of a detached recirculating eddy on the downstream side of the drop. For non-zero shear rates, the lift coefficient is approximately constant over a wide range of intermediate Reynolds numbers. At low Reynolds numbers and shear rates, the lift coefficient varies as Re$+$MIN@1/2$/ for constant shear rate.!28