Numerical simulation of the extrusion of strongly compressible Newtonian liquids |
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Authors: | Eleni Taliadorou Georgios C Georgiou Evan Mitsoulis |
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Institution: | (1) Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus;(2) School of Mining Engineering and Metallurgy, National Technical University of Athens, Heroon Polytechneiou 9, 15780 Zografou, Athens, Greece |
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Abstract: | The axisymmetric and plane extrusion flows of a liquid foam are simulated assuming that the foam is a homogeneous compressible
Newtonian fluid that slips along the walls. Compressibility effects are investigated using both a linear and an exponential
equation of state. The numerical results confirm previous reports that the swelling of the extrudate decreases initially as
the compressibility of the fluid is increased and then increases considerably. The latter increase is sharper in the case
of the exponential equation of state. In the case of non-zero inertia, high compressibility was found to lead to a contraction
of the extrudate after the initial expansion, similar to that observed experimentally with liquid foams and to decaying oscillations
of the extrudate surface. The time-dependent calculations show that the oscillatory steady-state solutions are stable. These
steady-state oscillatory solutions are not affected by the length of the extrudate region nor by the boundary condition along
the wall. |
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Keywords: | Newtonian flow Extrudate swell flow Compressibility Slip Liquid foams |
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