Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 196-219 |
| Journal | IMA Journal of Applied Mathematics |
| Volume | 77 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2012 |
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Three flow regimes of viscous jet falling onto a moving surface. / Hlod, A.V.; Aarts, A.C.T.; Ven, van de, A.A.F.; Peletier, M.A.
In: IMA Journal of Applied Mathematics, Vol. 77, No. 2, 2012, p. 196-219.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - Three flow regimes of viscous jet falling onto a moving surface
AU - Hlod, A.V.
AU - Aarts, A.C.T.
AU - Ven, van de, A.A.F.
AU - Peletier, M.A.
PY - 2012
Y1 - 2012
N2 - A stationary viscous jet falling from an oriented nozzle onto a moving surface is studied theoretically. The fluid is modelled as a Newtonian fluid, and the model for the flow includes viscous effects, inertia and gravity. We distinguish three flow regimes, called inertial, viscous-inertial and viscous, according to which effect is dominant in the momentum transfer through the jet cross section. By studying the characteristics of the conservation of momentum for a dynamic jet, the boundary conditions for each flow regime are derived, and the flow regimes are characterized in terms of the process and material parameters. The model is solved by a transformation into an algebraic equation. The parameter regions of the three flow regimes, and their boundaries, are confirmed experimentally. Influences of surface tension, bending stiffness and air drag are presented.
AB - A stationary viscous jet falling from an oriented nozzle onto a moving surface is studied theoretically. The fluid is modelled as a Newtonian fluid, and the model for the flow includes viscous effects, inertia and gravity. We distinguish three flow regimes, called inertial, viscous-inertial and viscous, according to which effect is dominant in the momentum transfer through the jet cross section. By studying the characteristics of the conservation of momentum for a dynamic jet, the boundary conditions for each flow regime are derived, and the flow regimes are characterized in terms of the process and material parameters. The model is solved by a transformation into an algebraic equation. The parameter regions of the three flow regimes, and their boundaries, are confirmed experimentally. Influences of surface tension, bending stiffness and air drag are presented.
U2 - 10.1093/imamat/hxr017
DO - 10.1093/imamat/hxr017
M3 - Article
VL - 77
SP - 196
EP - 219
JO - IMA Journal of Applied Mathematics
JF - IMA Journal of Applied Mathematics
SN - 0272-4960
IS - 2
ER -