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Modeling the Deformation of Shear Thinning Droplets Suspended in a Newtonian Fluid

Authors
  • Almusallam, Abdulwahab S.1
  • Daffallah, Isameldeen E.1
  • Benyahia, Lazhar2
  • 1 Kuwait University, P.O. Box 5969, Safat 13060 , (Kuwait)
  • 2 Université du Maine, 1 Avenue Olivier Messiaen, 72085 Le Mans , (France)
Type
Published Article
Journal
Applied Rheology
Publisher
De Gruyter Open
Publication Date
Dec 31, 2020
Volume
30
Issue
1
Pages
151–165
Identifiers
DOI: 10.1515/arh-2020-0113
Source
De Gruyter
Keywords
License
Green

Abstract

In this work, we carried out numerical modeling of the large deformation of a shear thinning droplet suspended in a Newtonian matrix using the constrained volume model. The adopted approach was to consider making incremental corrections to the evolution of the droplet anisotropy equation in order to capture the experimental behavior of a shear thinning droplet when subjected to deformation due to imposed flow. The constrained volume model was modified by using different models to describe the viscosity of droplet phase: the Bautista et al. model, the Carreau-Yasuda model and the Power-law model. We found that by combining the constrained volume model with a simple shear thinning viscosity model we were able to describe the available experimental data for large deformation of a shear thinning droplet suspended in a Newtonian matrix. Moreover, we developed an equation approximating flow strength during droplet retraction, and we found that the model can accurately describe the experimental data of the retraction of a shear thinning droplet.

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