%0 Journal Article %1 Eggers1994Drop %A Eggers, Jens %A Dupont, Todd F. %D 1994 %J Journal of Fluid Mechanics %K 76d05-incompressible-navier-stokes-equations 76d25-wakes-and-jets ink-jet %P 205--221 %R 10.1017/s0022112094000480 %T Drop Formation in a One-Dimensional Approximation of the Navier–Stokes Equation %U http://dx.doi.org/10.1017/s0022112094000480 %V 262 %X We consider the viscous motion of a thin axisymmetric column of fluid with a free surface. A one-dimensional equation of motion for the velocity and the radius is derived from the Navier–Strokes equation. We compare our results with recent experiments on the breakup of a liquid jet and on the bifurcation of a drop suspended from an orifice. The equations form singularities as the fluid neck is pinching off. The nature of the singularities is investigated in detail.

@article{Eggers1994Drop, abstract = {{We consider the viscous motion of a thin axisymmetric column of fluid with a free surface. A one-dimensional equation of motion for the velocity and the radius is derived from the Navier–Strokes equation. We compare our results with recent experiments on the breakup of a liquid jet and on the bifurcation of a drop suspended from an orifice. The equations form singularities as the fluid neck is pinching off. The nature of the singularities is investigated in detail.}}, added-at = {2019-03-01T00:11:50.000+0100}, author = {Eggers, Jens and Dupont, Todd F.}, biburl = {https://www.bibsonomy.org/bibtex/2038f1880d7ca00669dd546ed934fd2f0/gdmcbain}, citeulike-article-id = {6436039}, citeulike-linkout-0 = {http://journals.cambridge.org/action/displayAbstract?fromPage=online\&aid=352141}, citeulike-linkout-1 = {http://dx.doi.org/10.1017/s0022112094000480}, day = 3, doi = {10.1017/s0022112094000480}, interhash = {2530007e978e0babe9a8055a7090375d}, intrahash = {038f1880d7ca00669dd546ed934fd2f0}, issn = {0022-1120}, journal = {Journal of Fluid Mechanics}, keywords = {76d05-incompressible-navier-stokes-equations 76d25-wakes-and-jets ink-jet}, month = oct, pages = {205--221}, posted-at = {2018-07-19 03:20:51}, priority = {5}, timestamp = {2019-03-01T00:11:50.000+0100}, title = {Drop Formation in a One-Dimensional Approximation of the {N}avier–{S}tokes Equation}, url = {http://dx.doi.org/10.1017/s0022112094000480}, volume = 262, year = 1994 }