Falling of a viscous jet onto a moving surface
Fluid Dynamics
2007-05-23 v2
Abstract
We analyze the stationary flow of a jet of Newtonian fluid that is drawn by gravity onto a moving surface. The situation is modeled by a third-order ODE on a domain of unknown length and with an additional integral condition; by solving part of the equation explicitly we can reformulate the problem as a first-order ODE, again with an integral constraint. We show that there are two flow regimes, and characterize the associated regions in the three-dimensional parameter space in terms of an easily calculable quantity. In a qualitative sense the results from the model are found to correspond with experimental observations.
Cite
@article{arxiv.physics/0607042,
title = {Falling of a viscous jet onto a moving surface},
author = {A. Hlod and A. C. T. Aarts and A. A. F. Van De Ven and M. A. Peletier},
journal= {arXiv preprint arXiv:physics/0607042},
year = {2007}
}
Comments
16 pages, 11 figures