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Viscoelastic flow past confined objects using a micro–macro approach

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Abstract

This paper is concerned with the numerical prediction of viscoelastic flow past a cylinder in a channel and a sphere in a cylinder using molecular-based models. The basis of the numerical method employed is a micro–macro model in which the polymer dynamics is described by the evolution of an ensemble of Brownian configuration fields. The spectral element method is used to discretize the equations in space. Comparisons are made between the macroscopic simulations based on the Oldroyd B constitutive model and microscopic simulations based on Hookean dumbbells, and excellent agreement is found. The micro–macro approach can be used to simulate models, such as the finitely extensible nonlinear elastic (FENE) dumbbell model, which do not possess a closed-form constitutive equation. Numerical simulations are performed for the FENE model. The influence of the model parameters on the flow is described and, in particular, the dependence of the drag as a function of the Weissenberg number.

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Acknowledgements

The first author would like to acknowledge the financial support from the National Council for Science and Technology (CONACYT) of Mexico and also to Project 47192 for funding his doctoral studies at UNAM. Part of this work was performed while the first author was a visiting postgraduate researcher at Cardiff University.

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Authors and Affiliations

  1. Facultad de Química, Universidad Nacional Autónoma de México, Ciudad Universitaria, 04510, Mexico D.F., Mexico

    R. O. Vargas

  2. Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Ciudad Universitaria, 04510, Mexico D.F., Mexico

    O. Manero

  3. School of Mathematics, Cardiff University, Cardiff, CF24 4AG, UK

    T. N. Phillips

Authors
  1. R. O. Vargas
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  2. O. Manero
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  3. T. N. Phillips
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Correspondence to T. N. Phillips.

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Vargas, R.O., Manero, O. & Phillips, T.N. Viscoelastic flow past confined objects using a micro–macro approach. Rheol Acta 48, 373–395 (2009). https://doi.org/10.1007/s00397-008-0323-y

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  • DOI: https://doi.org/10.1007/s00397-008-0323-y

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