Investigation on laminar pipe flow of a non-Newtonian Carreau-Extended fluid

Jie Sun, Liejin Guo*, Jiaqiang Jing, Chao Tang, Yingda Lu, Jiqiang Fu, Amos Ullmann, Neima Brauner

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

Many fluids used in petroleum and chemical industries are generally described as complex systems that exhibit time-independent non-Newtonian behavior. To adequately represent the rheological behavior of an oil-tolerant and salt-resistant aqueous foam system, a Carreau-Extended (Carreau-E) rheological model, which includes a yield stress, a shear-thinning parameter and a time constant, has been established based on Carreau and Herschel-Bulkley models. In the present study, generalized Reynolds number definitions are proposed for laminar and fully developed pipe flow of non-Newtonian fluids (Carreau-E, Carreau, Herschel-Bulkley and Bingham fluids). Perturbation solutions for pipe flow of a Carreau-E fluid are obtained and their ranges of validity in the problem parameter space are identified. The quantitative effects of rheological parameters (e.g., yield stress, time constant, shear-thinning parameter) and flow parameters, (e.g., pressure gradient, pipe radius) on the velocity profile and flow rate in pipe flow of a Carreau-E fluid are explored. The results obtained for the flow characteristics can be applied or extended for other types of non-Newtonian fluid flow encountered in practical applications.

Original languageEnglish
Article number108915
JournalJournal of Petroleum Science and Engineering
Volume205
DOIs
StatePublished - Oct 2021

Funding

FundersFunder number
Hildebrand Department of Petroleum & Geosystems Engineering at the University of Texas at Austin
Cockrell School of Engineering, University of Texas at Austin
Sichuan Province Science and Technology Support Program2019YJ0350
National Natural Science Foundation of China51888103, U19B2012, 51527808, 51779212
China Postdoctoral Science Foundation2020M683498
Natural Science Foundation of Shaanxi Province2021JQ-039

    Keywords

    • Carreau-extended fluid
    • Flow characteristics
    • Laminar pipe flow
    • Non-Newtonian fluid
    • Yield stress

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