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A rheological model with constant approximate volume for immiscible blends of ellipsoidal droplets

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Abstract

We develop a set of evolution equations describing the effects of a general deformation field on the shape, size, and orientation of constant-volume droplets suspended in a Newtonian fluid. The rheological characteristic functions of this incompressible and immiscible polymer blend model are also derived in tandem with the abovementioned set. The constant-volume constraint is implemented using a recent methodology (Edwards BJ, Dressler M, Grmela M, Ait-Kadi A (2002) Rheological models with microstructural constraints. Rheo Acta (in press)) and discussed relative to the similarly volume-constrained model of Almusallam et al. (Almusallam AS, Larson RG, Solomon MJ (2000) A constitutive model for the prediction of ellipsoidal droplet shapes and stresses in immiscible blends. J Rheol 44:1055–1083). Sample results are reported for step-strain and shear relaxation profiles.

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Authors and Affiliations

  1. Department of Chemical Engineering, The University of Tennessee, Knoxville, TN, 37996, USA

    Brian J. Edwards

  2. Institute of Food Science, ETH-Zürich, CH-8000, Zürich, Switzerland

    Marco Dressler

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  1. Brian J. Edwards
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  2. Marco Dressler
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Correspondence to Brian J. Edwards.

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Edwards, B.J., Dressler, M. A rheological model with constant approximate volume for immiscible blends of ellipsoidal droplets. Rheol Acta 42, 326–337 (2003). https://doi.org/10.1007/s00397-002-0288-1

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  • DOI: https://doi.org/10.1007/s00397-002-0288-1

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