A physical decomposition of the stress tensor for complex flows

Bollada, Peter Charles and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2008. A physical decomposition of the stress tensor for complex flows. Rheologica Acta 47 (7) , pp. 719-725. 10.1007/s00397-007-0256-x

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Abstract

Traditionally, the components of the stress with respect to a relevant coordinate system are used for the purpose of stress visualisation and interpretation. A case for using a flow dependent measure to interpret and visualise stress is made for two dimensional flow, together with a suggestion for extending the idea to three dimensions. The method is illustrated for Newtonian and Oldroyd B fluids in both the eccentrically rotating cylinder and flow past a cylinder benchmark problems. In the context of a generalised Newtonian fluid, the relation between the flowdependent stress measure to other field variables under certain flow conditions, is examined and is indicative of its importance in complex flow.

Item Type:	Article
Status:	Published
Schools:	Professional Services > Advanced Research Computing @ Cardiff (ARCCA) Schools > Earth and Environmental Sciences Schools > Mathematics
Uncontrolled Keywords:	Stress invariant; Principal stress; Stress visualisation; Shear stress; Normal stress difference; Stress decomposition
Publisher:	Springer Verlag
ISSN:	0035-4511
Last Modified:	18 Oct 2022 13:07
URI:	https://orca.cardiff.ac.uk/id/eprint/12338

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