Steady non-swirling axisymmetric flows: flow classification and rheological consequences |
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Authors: | PO Brunn E Ryssel |
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Institution: | Lehrstuhl für Str?mungsmechanik, Cauerstr. 4, Universit?t Erlangen-Nürnberg, Erlangen, Germany, DE
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Abstract: | For steady non-swirling axisymmetric flow () of an incompressible fluid two invariants of the rate of strain dyadic D are introduced, which directly enter into the expression for D. This being the case they - in conjunction with the vorticity - allow a flow classification into strong and weak flows. For
a generalized Newtonian fluid an expression for the viscosity function is listed, which reduces for model fluids to correct results in shearing and, respectively, extensional flow. A possible
modification of is proposed, which involves the relative vorticity as well (quasi-Newtonian fluid), since this allows to adjust itself to the local nature of the flow. As such it should prove useful for numerical calculation.
Received April 23, 1998 |
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Keywords: | : axisymmetric flow invariants flow classification generalized Newtonian fluid quasi-Newtonian fluid |
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