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Flow of viscoelastic fluids between plates rotating about distinct axes |
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| Authors: | K. R. Rajagopal M. Renardy Y. Renardy A. S. Wineman |
| Affiliation: | (1) Department of Mechanical Engineering, University of Pittsburgh, 15261 Pittsburgh, PA, USA;(2) Department of Mathematics, Virginia Polytechnic Institute and State University, 24061 Blacksburg, VA, USA;(3) Department of Mechanical Engineering and Applied Mechanics, University of Michigan, 48109 Ann Arbor, MI, USA |
| Abstract: | We discuss the flow of BKZ fluids in an orthogonal rheometer. Some analytical results are proved, and numerical solutions are obtained for the Currie model. These solutions show a boundary layer behavior at high Reynolds numbers and the possibility of discontinuous solutions or nonexistence at high Weissenberg numbers. |
| Keywords: | Maxwell orthogonal rheometer continuation method Currie model discontinuous solutions |
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