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Falling of a viscous jet onto a moving surface

A. Hlod·A. C. T. Aarts·A. A. F. Van De Ven·M. A. Peletier
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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.

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A. Hlod, A. C. T. Aarts, A. A. F. Van De Ven, M. A. Peletier. 2006-07-07. Falling of a viscous jet onto a moving surface. https://arxiv.org/abs/physics/0607042

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