Elastic short wave instability in extrusion flows of viscoelastic liquids
KP Chen, DD Joseph - Journal of non-newtonian fluid mechanics, 1992 - Elsevier
An analysis of the stability to short waves of the flow of concentric coextruded polymeric
liquids modeled by upper convected Maxwell models is presented. The flow can be unstable
to short waves under various conditions on the elastic parameter. The growth rates for the
short wave instability in the elastic case are finite at leading order. The same short wave
instability is known to be two orders of magnitude smaller in the purely viscous case with
growth rates proportional to α− 2 for large wavenumber α. It is argued that this instability …
liquids modeled by upper convected Maxwell models is presented. The flow can be unstable
to short waves under various conditions on the elastic parameter. The growth rates for the
short wave instability in the elastic case are finite at leading order. The same short wave
instability is known to be two orders of magnitude smaller in the purely viscous case with
growth rates proportional to α− 2 for large wavenumber α. It is argued that this instability …
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