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On Constitutive Models for the Momentum Transfer to Particles in Fluid-Dominated Two-Phase Flows

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Advances in Mechanics of Materials and Structural Analysis

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 80))

Abstract

This contribution deals with fluid flow-particle interactions in fluid dominated two phase flows. Spherical as well as non-spherical particles in the form of are considered. In the case of ellipsoids, the hydrodynamic drag force model based on the Brenner-type resistance tensor is applied. As high shear flow regions are frequently encountered in complex flow patterns, special attention is devoted to the extension of established shear lift models, that are only valid for special cases of shear flows, to a general shear lift model based on permutations of the lift tensor, originally derived by Harper and Chang. A generalized lift vector, valid for ellipsoidal particles, is derived and implemented for the computation of the lift force in general shear flows. The derived generalized shear lift force model is validated against other numerical models for ellipsoids in Couette flow, and its influence on the translational motion of ellipsoidal particles in a three-dimensional lid-driven cavity flow is studied. The computational results confirm the correctness of the proposed generalized shear lift model.

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Acknowledgements

The authors thank the Deutsche Forschungsgemeinschaft for the financial support in the framework of the project STE 544/58.

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Authors and Affiliations

  1. Chair of Applied Mechanics, University of Erlangen-Nuremberg, Egerlandstr. 5, 91058, Erlangen, Germany

    Yan Cui & Paul Steinmann

  2. Faculty of Mechanical Engineering, University of Maribor, Smetanova 17, 2000, Maribor, Slovenia

    Jure Ravnik & Matjaž Hriberšek

Authors
  1. Yan Cui
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  2. Jure Ravnik
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  3. Matjaž Hriberšek
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  4. Paul Steinmann
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Corresponding author

Correspondence to Yan Cui .

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Editors and Affiliations

  1. Institute of Mechanics Faculty of Mechanical Engineering, Otto-von-Guericke-University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Holm Altenbach

  2. Fakultät 5, Abt. 1, Hochschule Bremen, Bremen, Bremen, Germany

    Frank Jablonski

  3. Institut für Mechanik, Technische Universität Berlin, Berlin, Germany

    Wolfgang H. Müller

  4. Institute of Mechanics, Faculty of Mechanical Engineering, Otto-von-Guericke-University Magdeburg, Magdeburg, Sachsen-Anhalt, Germany

    Konstantin Naumenko

  5. Institute for Lightweight Construction and Design (KLuB), Technische Universität Darmstadt, Darmstadt, Germany

    Patrick Schneider

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Cui, Y., Ravnik, J., Hriberšek, M., Steinmann, P. (2018). On Constitutive Models for the Momentum Transfer to Particles in Fluid-Dominated Two-Phase Flows. In: Altenbach, H., Jablonski, F., Müller, W., Naumenko, K., Schneider, P. (eds) Advances in Mechanics of Materials and Structural Analysis. Advanced Structured Materials, vol 80. Springer, Cham. https://doi.org/10.1007/978-3-319-70563-7_1

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  • DOI: https://doi.org/10.1007/978-3-319-70563-7_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70562-0

  • Online ISBN: 978-3-319-70563-7

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