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The Flow of a Viscoelastic Fluid Past a Sphere

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Third European Rheology Conference and Golden Jubilee Meeting of the British Society of Rheology

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Abstract

The paper is concerned with the steady flow generated by a sphere falling along the centreline of a cylindrical tube containing a viscoelastic fluid which is modelled by the Oldroyd—B constitutive relation. By exploiting the similarity solution in the neighbourhood of the centreline of the tube it is found that there is a limiting Weissenberg number above which no steady state axisymmetric solution can exist. The full numerical solution to the problem using a boundary element method is reported and compared with results obtained by other numerical methods. We find an overall agreement between different sets of results pointing to the existence of the limiting Weissenberg number.

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References

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Authors and Affiliations

  1. Department of Mechanical Engineering, The University of Sydney, NSW 2006, Australia

    Nhan Phan-Thien & Roger I. Tanner

Authors
  1. Nhan Phan-Thien
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  2. Roger I. Tanner
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Editor information

Editors and Affiliations

  1. School of Chemical Engineering, University of Birmingham, UK

    D. R. Oliver

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© 1990 Elsevier Science Publishers Ltd

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Phan-Thien, N., Tanner, R.I. (1990). The Flow of a Viscoelastic Fluid Past a Sphere. In: Oliver, D.R. (eds) Third European Rheology Conference and Golden Jubilee Meeting of the British Society of Rheology. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0781-2_135

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  • DOI: https://doi.org/10.1007/978-94-009-0781-2_135

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6838-3

  • Online ISBN: 978-94-009-0781-2

  • eBook Packages: Springer Book Archive

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