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Unphysical phenomena associated with the extended pom-pom model in steady flow

Inkson, Nathanael and Phillips, Timothy Nigel 2007. Unphysical phenomena associated with the extended pom-pom model in steady flow. Journal of non-Newtonian fluid mechanics 145 (2-3) , pp. 92-101. 10.1016/j.jnnfm.2007.05.002

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Abstract

The extended pom-pom (XPP) model was first introduced to eradicate perceived deficiencies of the original pom-pom model such as the lack of a second normal stress difference and a discontinuity in the derivative of the extensional viscosity. However, in this paper it is shown that the XPP model itself possesses some disconcerting attributes. In simple steady shear and uniaxial extensional flow, multiple solutions are found. Furthermore, the extended pom-pom model can predict positive as well as negative values for the second normal stress difference. Experimentally, the second normal stress difference is negative for polymer melts.

Item Type: Article
Status: Published
Schools: Mathematics
Advanced Research Computing @ Cardiff (ARCCA)
Uncontrolled Keywords: XPP model; Shear viscosity; Extensional viscosity; Second normal stress difference; Multiple solutions
Publisher: Elsevier
ISSN: 0377-0257
Last Modified: 04 Nov 2017 23:14
URI: http://orca.cf.ac.uk/id/eprint/12342

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