Spectral/hp element methods for plane Newtonian extrudate swell

Claus, Susanne ORCID: https://orcid.org/0000-0001-9014-5278, Cantwell, C. D. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2015. Spectral/hp element methods for plane Newtonian extrudate swell. Computers & Fluids 116 , pp. 105-117. 10.1016/j.compfluid.2015.04.002

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Abstract

Spectral/hp element methods and an arbitrary Lagrangian-Eulerian (ALE) moving-boundary technique are used to investigate planar Newtonian extrudate swell. Newtonian extrudate swell arises when viscous liquids exit long die slits. The problem is characterised by a stress singularity at the end of the slit which is inherently difficult to capture and strongly influences the predicted swelling of the fluid. The impact of inertia (View the MathML source) and slip along the die wall on the free surface profile and the velocity and pressure values in the domain and around the singularity are investigated. The high order method is shown to provide high resolution of the steep pressure profile at the singularity. The swelling ratio and exit pressure loss are compared with existing results in the literature and the ability of high-order methods to capture these values using significantly fewer degrees of freedom is demonstrated.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Advanced Research Computing @ Cardiff (ARCCA) Engineering Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Spectral/hp element method; Extrudate Newtonian swell; ALE benchmark; Stress singularity
Publisher:	Elsevier
ISSN:	0045-7930
Funders:	EPSRC
Date of First Compliant Deposit:	30 March 2016
Date of Acceptance:	2 April 2015
Last Modified:	05 May 2023 01:37
URI:	https://orca.cardiff.ac.uk/id/eprint/73040

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