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Study of distributive mixing in a journal bearing flow geometry

  • Mehdi Mostafaiyan EMAIL logo , Sven Wießner and Gert Heinrich
Published/Copyright: February 25, 2022
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Abstract

We implicitly assess the distributive mixing of generalized Newtonian fluids with shear-thinning behavior in a journal bearing flow geometry. For this purpose, we firstly develop a finite element code to calculate the flow field parameters. Our numerical algorithm splits the viscous stress tensor into arbitrary Newtonian stress and a source term, which grows gradually during the iterative solution. Therefore, we get a better converging solution than the Picard method, especially for highly shear-thinning fluids. Secondly, considering two inert fluids in the mixing domain, we employ a Lagrangian-Eulerian approach to predict the shape of the interface between two fluids. The results of our numerical analysis provide us the required information to evaluate three implicit mixing criteria: the concentration variance, the striation thickness, and the mean strain function. Then we conduct a parametric study to investigate the effects of different parameters (geometry and rheology) on the distributive mixing state. In addition, we discuss which mixing criteria provide a better evaluation for distributive mixing.


Corresponding author: Mehdi Mostafaiyan, Leibniz-Institut für Polymerforschung Dresden e. V, Deutschland, Hohe Str. 6, 01069 Dresden, Germany; and Technische Universität Dresden, Institut für Werkstoffwissenschaft, Helmholtzstr. 7, 01069 Dresden, Germany, E-mail:

  1. Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2021-06-21
Accepted: 2021-09-10
Published Online: 2022-02-25
Published in Print: 2022-03-28

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