Finite element investigation of inertia and viscous effects on regularized Herschel–Bulkley flows

  • Sérgio Frey
  • Fernanda B. Link
  • Mônica F. Naccache
  • Cleiton Fonseca
Technical Paper
First Online:
Received:
Accepted:

Abstract

Finite element simulations of regularized viscoplastic flows through a planar expansion is performed. The mechanical model is made up of the conservation equations of mass and momentum, coupled with a regularized form of the Herschel–Bulkley viscosity function, based on the Papanastasiou equation. This model is approximated by a three-field Galerkin least-squares method, in terms of the extra-stress tensor, the velocity vector and the pressure field. A sensitivity analysis is performed, aiming at an investigation of the influence of yield stress, shear-thinning and inertia effects on the flow pattern and pressure drop. The results show a strong dependence of the position and shape of the yielded and unyielded regions on Herschel–Bulkley and Reynolds numbers.

Keywords

Yield stress Herschel–Bulkley model Papanastasiou model Multi-field GLS-type method 
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Notes

Acknowledgments

The authors acknowledges the Brazilian funding agencies CAPES and CNPq for financial support.

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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2016

Authors and Affiliations

  • Sérgio Frey
    • 1
    • 2
  • Fernanda B. Link
    • 3
    • 4
  • Mônica F. Naccache
    • 5
  • Cleiton Fonseca
    • 6
  1. 1.Department of Mechanical EngineeringFederal University of Rio Grande do SulPorto AlegreBrazil
  2. 2.Department of Chemical and Biomolecular EngineeringRice UniversityHoustonUSA
  3. 3.Department of Civil EngineeringFTEC FacultiesPorto AlegreBrazil
  4. 4.Collaborative Researcher of Laboratory of Computational and Applied Fluid MechanicsUFRGSPorto AlegreBrazil
  5. 5.Department of Mechanical EngineeringPontifícia Universidade Católica-RJRio de JaneiroBrazil
  6. 6.Department of Engineering and Computer ScienceUniversity Regional Integrated High Uruguay and MissionsSanto ÂngeloBrazil

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