Mathematical model of 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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Source: Crossref
Published: Dec 1, 2007
DOI: 10.1017/s0956792507007206
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The stationary flow of a jet of a Newtonian fluid that is drawn by gravity onto a moving surface is analyzed. It is assumed that the jet has a convex shape and hits the moving surface tangentially. The flow is modelled by a third-order ODE on a domain of unknown length and with an additional integral condition. By solving part of the equation explicitly, the problem is reformulated as a first-order ODE with an integral constraint. The corresponding existence region in the three-dimensional parameter space is characterized 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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