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Modified Bautista–Manero (MBM) modelling for hyperbolic contraction–expansion flows

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Abstract

In this study, modelling of network-structured material flow is considered through a rounded-corner, hyperbolic 4:1:4 contraction–expansion geometry, under axisymmetric configuration. Three representative constitutive models are adopted to represent networked behaviour and to investigate the flow of wormlike micellar fluids in this context. This includes the modified Bautista–Manero (MBM) model (for base thixotropic properties), some newly proposed micellar models (NM_τ p and NM_T; for advanced thixotropic modelling), and the EPPT model (for contrast against non-thixotropic properties). In this configuration, emphasis is placed upon interpretation of flow behaviour for these constitutive models, against their response in simple rheometrical flows. To best determine the factors that contribute to epd prediction, current findings have also been contrasted against those reported earlier in López-Aguilar et al. (J Non-Newtonian Fluid Mech 204:7–21, 2014), for the counterpart abrupt rounded-corner, axisymmetric 4:1:4 contraction–expansion flow.

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Notes

  1. \( \left({\xi}_{\eta_{p0}}=k/{\eta}_{\infty}\kern0.5em {\eta}_{p0}\kern0.5em {\eta}_{p0}+{\eta}_s\kern0.5em U/L\right) \) is the destruction dimensionless parameter for MBM.

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Acknowledgements

Financial support is gratefully acknowledged to the first author (S. Tabatabaei) from Procter and Gamble Co. during the course of this research. Financial support (scholarship to J.E. López-Aguilar) from Consejo Nacional de Ciencia y Tecnología (CONACYT, Mexico) is also gratefully acknowledged.

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Authors and Affiliations

  1. Institute of Non-Newtonian Fluid Mechanics, College of Engineering, Swansea University, Swansea, SA28PP, UK

    Sorour Tabatabaei, Jose Esteban López-Aguilar, Hamid Reaz Tamaddon-Jahromi, Michael F. Webster & Rhodri Williams

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  1. Sorour Tabatabaei
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  2. Jose Esteban López-Aguilar
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  3. Hamid Reaz Tamaddon-Jahromi
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  4. Michael F. Webster
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  5. Rhodri Williams
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Correspondence to Michael F. Webster.

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Tabatabaei, S., López-Aguilar, J.E., Tamaddon-Jahromi, H.R. et al. Modified Bautista–Manero (MBM) modelling for hyperbolic contraction–expansion flows. Rheol Acta 54, 869–885 (2015). https://doi.org/10.1007/s00397-015-0870-y

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  • DOI: https://doi.org/10.1007/s00397-015-0870-y

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