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Title: Theoretical Analysis of Fractional Viscoelastic Flow in Circular Pipes: Parametric Study

Journal Article · · Applied Sciences

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.

Sponsoring Organization:
USDOE
Grant/Contract Number:
ANL 4J-303061-0030A
OSTI ID:
1737690
Journal Information:
Applied Sciences, Journal Name: Applied Sciences Vol. 10 Journal Issue: 24; ISSN 2076-3417
Publisher:
MDPI AGCopyright Statement
Country of Publication:
Switzerland
Language:
English

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