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Rheometry of Visco-Plastic Fluids

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Lectures on Visco-Plastic Fluid Mechanics

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 583))

Abstract

This chapter deals with experimental methods for the measurement of the rheological properties of materials, with a focus on yield stress fluids. Section 2 provides the basis of rheometry. Standard equations for viscosimetric flows are given and their application to visco-plastic fluids is discussed. The third section deals with the measurements of the main properties of simple yield stress fluids: solid viscoelastic properties, yield stress, and visco-plastic properties. The fourth section is devoted to the measurements of the properties of thixotropic yield stress fluids, with a focus on the dependence of their behaviour on shear history and on their aging at rest. The phenomena of shear localisation and shear banding are finally discussed in the fifth section, together with possible material inhomogeneities.

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Notes

  1. 1.

    For the sake of simplicity, the discussion in this section is based on the case of simple constitutive laws of the form \( \tau_{ij} = f(d_{ij} ) \). This can be easily generalised to cases where the behaviour also depends on the strain tensor and on the strain history.

  2. 2.

    When the behaviour is nonlinear, the response is not sinusoidal, though one can still define \( G^{\prime } \) and \( G^{\prime \prime } \) through Fourier analysis: they are the coefficients of the first harmonic in the Fourier series decomposition of the response \( \tau (t) \) (for details see Wilhelm et al. 1998; Ewoldt et al. 2008). In this case, while \( G^{\prime \prime } \) still encodes all the dissipative properties of the material, \( G^{\prime } \) has in general no simple quantitative meaning.

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Authors and Affiliations

  1. Université de Bordeaux, CNRS, Solvay, LOF - UMR 5258, 33608, Pessac, France

    Guillaume Ovarlez

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  1. Guillaume Ovarlez
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Correspondence to Guillaume Ovarlez .

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  1. Laboratory of the Future, University of Bordeaux, Pessac, France

    Guillaume Ovarlez

  2. Department of Mechanical Engineering, Ohio University, Athens, Ohio, USA

    Sarah Hormozi

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Ovarlez, G. (2019). Rheometry of Visco-Plastic Fluids. In: Ovarlez, G., Hormozi, S. (eds) Lectures on Visco-Plastic Fluid Mechanics. CISM International Centre for Mechanical Sciences, vol 583. Springer, Cham. https://doi.org/10.1007/978-3-319-89438-6_4

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  • DOI: https://doi.org/10.1007/978-3-319-89438-6_4

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