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Bubble collapse in compressible fluids using a spectral element marker particle method. Part 2. Viscoelastic fluids

Lind, Stephen J. and Phillips, Timothy Nigel 2013. Bubble collapse in compressible fluids using a spectral element marker particle method. Part 2. Viscoelastic fluids. International Journal for Numerical Methods in Fluids 71 (9) , pp. 1103-1130. 10.1002/fld.3701

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Abstract

This paper is concerned with the development of a high-order numerical scheme for two-phase viscoelastic flows. In the companion paper, herein referred to as Part 1, the scheme is applied to the modelling of two-phase Newtonian flows. The particular problem of the collapse of a 2D bubble in the vicinity of a rigid boundary is considered. Attention is given to the construction of the most general form of the compressible Oldroyd B model that is consistent with the compressible Newtonian and upper-convected Maxwell models in the appropriate limits. The governing equations are discretized using the spectral element method, and the two phases are modelled using a marker particle method. A comprehensive set of results is presented for the problem of bubble collapse near a rigid wall, and qualitative agreement is obtained with other numerical studies and experimental observations. Viscoelastic effects that are predicted include increased bubble oscillation with increasing Weissenberg number and considerable bubble deformation and cusping near the wall. Most importantly, it has been shown that viscoelasticity has the ability to prevent jet formation and therefore is likely to have a mitigating effect on cavitation damage.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Advanced Research Computing @ Cardiff (ARCCA)
Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: viscoelasticity; bubble collapse; spectral element method; marker particles
Additional Information: Published online before print
Publisher: Wiley
ISSN: 0271-2091
Last Modified: 04 Jun 2017 04:06
URI: http://orca.cf.ac.uk/id/eprint/32935

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