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

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• 作者：Sérgio Frey ; Fernanda B. Link…
• 关键词：Yield stress ; Herschel–Bulkley model ; Papanastasiou model ; Multi ; field GLS ; type method
• 刊名：Journal of the Brazilian Society of Mechanical Sciences and Engineering
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：38
• 期：4
• 页码：1291-1298
• 全文大小：927 KB
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• 作者单位：Sérgio Frey (1) (2)
  Fernanda B. Link (3) (4)
  Mônica F. Naccache (5)
  Cleiton Fonseca (6)
  
  1. Department of Mechanical Engineering, Federal University of Rio Grande do Sul, Rua Sarmento Leite 425, Porto Alegre, RS, 90050-170, Brazil
  2. Department of Chemical and Biomolecular Engineering, Rice University, 6100 Main St., Houston, TX, 77005, USA
  3. Department of Civil Engineering, FTEC Faculties, Avenida Assis Brasil 7765, Porto Alegre, RS, 90030-030, Brazil
  4. Collaborative Researcher of Laboratory of Computational and Applied Fluid Mechanics, UFRGS, Rua Sarmento Leite 425, Porto Alegre, RS, 90050-170, Brazil
  5. Department of Mechanical Engineering, Pontifícia Universidade Católica-RJ, Rua Marquês de São Vicente 225, Rio de Janeiro, RJ, 22453-900, Brazil
  6. Department of Engineering and Computer Science, University Regional Integrated High Uruguay and Missions, Rua Universidade das Missões, 464, Santo Ângelo, RS, 98802-470, Brazil
  
• 刊物主题：Mechanical Engineering;
• 出版者：Springer Berlin Heidelberg
• ISSN：1806-3691

文摘

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.