The linear stability of a viscoelastic jet (liquid cylinder) surrounded by another viscoelastic fluid

The linear stability of a viscoelastic liquid thread surrounded by another viscoelastic liquid is studied. If in the undisturbed state there is no relative motion between the two liquids the results hold without requiring any rheological modeling of the liquids. The complex viscosity, or equivalentl...

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Bibliographic Details
Published in:Zeitschrift für angewandte Mathematik und Mechanik 2003-09, Vol.83 (9), p.622-628
Main Authors: Brunn, P.O., Ryssel, E.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Laminar boundary layers
Laminar flows
Non-newtonian fluid flows
Physics
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Summary:The linear stability of a viscoelastic liquid thread surrounded by another viscoelastic liquid is studied. If in the undisturbed state there is no relative motion between the two liquids the results hold without requiring any rheological modeling of the liquids. The complex viscosity, or equivalently the complex modulus will govern the stability behaviour. If in the undisturbed state there is a relative motion (say of velocity u), then model fluids are required and the present analysis will be the model‐free u → 0 limit of such studies.
ISSN:0044-2267
1521-4001
DOI:10.1002/zamm.200310036