Abstract
Using the fact that for simple fluids the most general constitutive equation in constant stretch history flows for the extra stress tensor τ is known in an explicit form, the Giesekus fluid model is cast into this (ω–D) form for two-dimensional flows. The three material functions needed to characterize τ are listed. The explicit results for simple shear and planar elongation reveal that the parameter α should be restricted to values less than 0.5. It is demonstrated that in this explicit form the constitutive equation is free from thermodynamic objections and can thus be used as a starting point for numerical calculations of general, but steady, two-dimensional flows.
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Received: 9 November 1998 Accepted: 20 May 1999
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Brunn, P., Ryssel, E. The Giesekus fluid in ω–D form for steady two-dimensional flows . Rheol. Acta 38, 415–422 (1999). https://doi.org/10.1007/s003970050192
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DOI: https://doi.org/10.1007/s003970050192