A physical decomposition of the stress tensor for complex flows |
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Authors: | P. C. Bollada T. N. Phillips |
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Affiliation: | (1) School of Mathematics, Cardiff University, Senghennydd Road, Cardiff, CF24 4AG, UK |
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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 flow-dependent stress measure to other field variables under certain flow conditions, is examined and is indicative of its importance in complex flow. |
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Keywords: | Stress invariant Principal stress Stress visualisation Shear stress Normal stress difference Stress decomposition |
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