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Numerical Simulation of Rheological Models for Complex Fluids Using Hierarchical Grids.

Hugo A Castillo-Sánchez1, Leandro F de Souza1, Antonio Castelo1

  • 1Institute of Mathematics and Computer Sciences, University of São Paulo, Av. Trab. São Carlense, 400, Centro, São Carlos 13566-590, SP, Brazil.

Polymers
|November 26, 2022
PubMed
Summary

This study implements complex rheological models in the HiGTree/HiGFlow Computational Fluid Dynamics (CFD) system, achieving accurate simulations of shear-banding and elastoviscoplastic fluids. Results show excellent agreement with other methods, validating the CFD software for rheological research.

Keywords:
CFDcomplex-fluidselastoviscoplasticityrheologyshear-bandingviscoelasticityyield-stress

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Area of Science:

  • Computational Fluid Dynamics (CFD)
  • Rheology
  • Material Science

Background:

  • Simulating complex fluid behavior like shear-banding and elastoviscoplasticity is crucial for understanding material properties.
  • Existing Computational Fluid Dynamics (CFD) software often has limitations in handling such complex rheological models.

Purpose of the Study:

  • To implement and validate advanced rheological models within the novel HiGTree/HiGFlow CFD system.
  • To assess the accuracy and convergence of simulations using finite differences and meshless interpolation techniques.
  • To demonstrate the system's capability in reproducing high-interest rheological phenomena.

Main Methods:

  • Implementation of the Vasquez-Cook-McKinley (VCM) model for shear-banding and the Saramito model for yield-stress fluids.
  • Development of solvers for inertial flows in 2D channels and planar contractions.
  • Utilizing a Moving Least Squares (MLS) meshless interpolation technique within a finite difference framework.
  • Comparison of results with OpenFOAM-based RheoTool and an in-house Vorticity-Velocity-Formulation (VVF) code.

Main Results:

  • Excellent agreement was found between the HiGTree/HiGFlow system, RheoTool, and the VVF code.
  • The finite difference method and MLS scheme demonstrated strong mesh convergence on tree-based grids.
  • The implemented methodology successfully reproduced non-monotonic flow curves of micellar solutions and plug-flow profiles of yield-stress fluids.

Conclusions:

  • The HiGTree/HiGFlow system is a capable CFD tool for simulating complex rheological behaviors.
  • The numerical methods employed ensure accuracy and efficiency, even with complex mesh configurations.
  • This work provides a validated platform for rheological research, particularly for micellar solutions and yield-stress fluids.