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Negative wake generation of FENE-CR fluids in uniform and Poiseuille flows past a cylinder

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Abstract

The effect of flow conditions on the “negative wake” generation (longitudinal velocity overshoot behind a cylinder in the viscoelastic fluid flow along the centerline) has been investigated. FENE-CR model that predicts constant shear viscosity and controlled extensional viscosity was considered as a constitutive equation. The discrete elastic viscous split stress-G/streamline upwind Petrov–Galerkin (DEVSS-G/SUPG) formulation was employed and the high-resolution solutions were obtained with an efficient iterative solver based on the incomplete LU(0)-type preconditioner and BiCGSTAB. We found that the “negative wake” generation was more obvious in uniform flow conditions than in Poiseuille flow, which suggests that the experimentally unrevealed “negative wake” generation of Boger fluids could be partially attributed to the geometrical effect of Poiseuille flow. The “negative wake” generation was more discernable at low extensibility and high value of viscosity ratio, which agrees well with the previous studies. In addition, we could observe an undershoot phenomenon in Poisseuille flow condition, which has never been reported.

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Acknowledgements

This work was supported by the National Research Laboratory Fund (NRL 400-20030085) of the Ministry of Science and Technology in Korea. The authors acknowledge the support from KISTI (Korea Institute of Science and Technology Information) under ‘Grand Challenge Support Program’ with Dr. Jeong Ho Kim as the technical supporter. The use of the computing system of Supercomputing Center is also greatly appreciated.

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Authors and Affiliations

  1. Department of Chemical and Biological Engineering, Korea University, Seoul, 136-701, Korea

    Ju Min Kim & Chongyoup Kim

  2. School of Chemical and Biological Engineering, Seoul National University, Seoul, 151-744, Korea

    Changkwon Chung, Kyung Hyun Ahn & Seung Jong Lee

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  1. Ju Min Kim
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  2. Chongyoup Kim
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  3. Changkwon Chung
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  4. Kyung Hyun Ahn
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  5. Seung Jong Lee
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Correspondence to Seung Jong Lee.

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Kim, J.M., Kim, C., Chung, C. et al. Negative wake generation of FENE-CR fluids in uniform and Poiseuille flows past a cylinder. Rheol Acta 44, 600–613 (2005). https://doi.org/10.1007/s00397-005-0442-7

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  • DOI: https://doi.org/10.1007/s00397-005-0442-7

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