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Stability of multilayer extrusion of viscoelastic liquids
A linear stability analysis of multilayer plane Poiseuille flow of Oldroyd‐B liquids with shear rate dependent viscosities is performed for an arbitary number of layers. Asymptotic solutions at long wavelengths and numerical solutions at wavelengths of O(1) are obtained for two‐dimensional infinites...
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Published in: | AIChE journal 1990-05, Vol.36 (5), p.710-724 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | A linear stability analysis of multilayer plane Poiseuille flow of Oldroyd‐B liquids with shear rate dependent viscosities is performed for an arbitary number of layers. Asymptotic solutions at long wavelengths and numerical solutions at wavelengths of O(1) are obtained for two‐dimensional infinitesimal disturbances. The asymptotic solutions are identical for viscoelastic and Newtonian liquids in two‐ and three‐layer flows, except for nearly geometrically symmetric configurations in three‐layer flows. Multilayer flows of viscoelastic liquids can be stable at all wavelengths; thus, operating diagrams of stable flows can be constructed. Symmetric and nearly symmetric configurations in three‐layer flows are unstable when the core layer is more viscous than the cuter layers. For highly elastic liquids, stability is not influenced by elasticity, whereas shear thinning always destabilizes the flow. The analysis provides guidelines to avoid interfacial instabilities, which originate inside dies of multilayer extrusion. |
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ISSN: | 0001-1541 1547-5905 |
DOI: | 10.1002/aic.690360508 |