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Modeling of extrusion with slip boundary conditions
Author(s) -
Meijer H. E. H.,
Verbraak C. P. J. M.
Publication year - 1988
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760281108
Subject(s) - extrusion , slip (aerodynamics) , materials science , plastics extrusion , rheology , mechanics , newtonian fluid , capillary action , isothermal process , boundary value problem , slip ratio , no slip condition , composite material , slipping , boundary layer , phenomenological model , thermodynamics , mechanical engineering , boundary layer thickness , condensed matter physics , mathematics , physics , engineering , shear stress , mathematical analysis
Slip at boundaries is possible in viscous flows; for instance, in the extrusion of foodstuffs, water‐containing materials, and some polymers. There are two phenomenological descriptions of slip: The first is based on the presence of a very thin, low viscosity boundary layer and has been derived for capillary flow and extrusion; the second is based on a Coulomb‐friction mechanism and has been derived for capillary flow only. After a survey of these results, the friction model is derived for the extrusion process. All calculations are as simple as possible: two‐dimensional, Newtonian, isothermal, and with constant boundary layer parameters of coefficients of friction. A strong dependence of pumping characteristics and efficiency on the slip boundary conditions, and also on the extruder length in the case of friction, was found, especially when slip is only allowed for at the screw surface. Exercises like these may help in understanding abnormal extrusion behavior of slippery materials in practice.