The Giesekus fluid in ω–D form for steady two-dimensional flows |
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Authors: | Peter O Brunn Edna Ryssel |
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Institution: | Lehrstuhl für Str?mungsmechanik Universit?t Erlangen-Nürnberg Cauerstrasse 4, D-91058 Erlangen Germany e-mail: eryssel@lstm.uni-erlangen.de, DE
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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.
Received: 9 November 1998 Accepted: 20 May 1999 |
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Keywords: | Giesekus fluid Constant stretch history flows Two dimensional flows Shear flow Planar elongational flow |
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