Theoretical Analysis of Fractional Viscoelastic Flow in Circular Pipes: Parametric Study
Abstract
Pipe flow is one of the most commonly used models to describe fluid dynamics. The concept of fractional derivative has been recently found very useful and much more accurate in predicting dynamics of viscoelastic fluids compared with classic models. In this paper, we capitalize on our previous study and consider space-time dynamics of flow velocity and stress for fractional Maxwell, Zener, and Burgers models. We demonstrate that the behavior of these quantities becomes much more complex (compared to integer-order classical models) when adjusting fractional order and elastic parameters. We investigate mutual influence of fractional orders and consider their limiting value combinations. Finally, we show that the models developed can be reduced to classical ones when appropriate fractional orders are set.
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1737690
- Grant/Contract Number:
- ANL 4J-303061-0030A
- Resource Type:
- Published Article
- Journal Name:
- Applied Sciences
- Additional Journal Information:
- Journal Name: Applied Sciences Journal Volume: 10 Journal Issue: 24; Journal ID: ISSN 2076-3417
- Publisher:
- MDPI AG
- Country of Publication:
- Switzerland
- Language:
- English
Citation Formats
Gritsenko, Dmitry, and Paoli, Roberto. Theoretical Analysis of Fractional Viscoelastic Flow in Circular Pipes: Parametric Study. Switzerland: N. p., 2020.
Web. doi:10.3390/app10249080.
Gritsenko, Dmitry, & Paoli, Roberto. Theoretical Analysis of Fractional Viscoelastic Flow in Circular Pipes: Parametric Study. Switzerland. https://doi.org/10.3390/app10249080
Gritsenko, Dmitry, and Paoli, Roberto. Fri .
"Theoretical Analysis of Fractional Viscoelastic Flow in Circular Pipes: Parametric Study". Switzerland. https://doi.org/10.3390/app10249080.
@article{osti_1737690,
title = {Theoretical Analysis of Fractional Viscoelastic Flow in Circular Pipes: Parametric Study},
author = {Gritsenko, Dmitry and Paoli, Roberto},
abstractNote = {Pipe flow is one of the most commonly used models to describe fluid dynamics. The concept of fractional derivative has been recently found very useful and much more accurate in predicting dynamics of viscoelastic fluids compared with classic models. In this paper, we capitalize on our previous study and consider space-time dynamics of flow velocity and stress for fractional Maxwell, Zener, and Burgers models. We demonstrate that the behavior of these quantities becomes much more complex (compared to integer-order classical models) when adjusting fractional order and elastic parameters. We investigate mutual influence of fractional orders and consider their limiting value combinations. Finally, we show that the models developed can be reduced to classical ones when appropriate fractional orders are set.},
doi = {10.3390/app10249080},
journal = {Applied Sciences},
number = 24,
volume = 10,
place = {Switzerland},
year = {Fri Dec 18 00:00:00 EST 2020},
month = {Fri Dec 18 00:00:00 EST 2020}
}
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