Statistical properties of two-dimensional elastic turbulence
Garg, Himani LU
; Calzavarini, Enrico
and Berti, Stefano
(2021)
In Physical Review E
104.
- Abstract
- We numerically investigate the spatial and temporal statistical properties of a dilute polymer solution in the elastic turbulence regime, i.e., in the chaotic flow state occurring at vanishing Reynolds and high Weissenberg numbers. We aim at elucidating the relations between measurements of flow properties performed in the spatial domain with the ones taken in the temporal domain, which is a key point for the interpretation of experimental results on elastic turbulence and to discuss the validity of Taylor's hypothesis. To this end, we carry out extensive direct numerical simulations of the two-dimensional Kolmogorov flow of an Oldroyd-B viscoelastic fluid. Static pointlike numerical probes are placed at different locations in the flow,... (More)
- We numerically investigate the spatial and temporal statistical properties of a dilute polymer solution in the elastic turbulence regime, i.e., in the chaotic flow state occurring at vanishing Reynolds and high Weissenberg numbers. We aim at elucidating the relations between measurements of flow properties performed in the spatial domain with the ones taken in the temporal domain, which is a key point for the interpretation of experimental results on elastic turbulence and to discuss the validity of Taylor's hypothesis. To this end, we carry out extensive direct numerical simulations of the two-dimensional Kolmogorov flow of an Oldroyd-B viscoelastic fluid. Static pointlike numerical probes are placed at different locations in the flow, particularly at the extrema of mean flow amplitude. The results in the fully developed elastic turbulence regime reveal large velocity fluctuations, as compared to the mean flow, leading to a partial breakdown of Taylor's frozen-field hypothesis. While second-order statistics, probed by spectra and structure functions, display consistent scaling behaviors in the spatial and temporal domains, the third-order statistics highlight robust differences. In particular the temporal analysis fails to capture the skewness of streamwise longitudinal velocity increments. Finally, we assess both the degree of statistical inhomogeneity and isotropy of the flow turbulent fluctuations as a function of scale. While the system is only weakly nonhomogenous in the cross-stream direction, it is found to be highly anisotropic at all scales. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/f6dd7d9a-7364-4eb2-a97a-3811c9f4e6f5
- author
- Garg, Himani
LU
; Calzavarini, Enrico
and Berti, Stefano
- publishing date
- 2021-09-07
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Elastic Turbulence, Statistical Analysis, Numerical simulations, microfluidic channel
- in
- Physical Review E
- volume
- 104
- article number
- 035103
- pages
- 13 pages
- publisher
- American Physical Society
- external identifiers
-
- scopus:85114682212
- ISSN
- 2470-0045
- DOI
- 10.1103/PhysRevE.104.035103
- language
- English
- LU publication?
- no
- id
- f6dd7d9a-7364-4eb2-a97a-3811c9f4e6f5
- date added to LUP
- 2024-06-09 08:21:29
- date last changed
- 2024-06-11 09:51:45
@article{f6dd7d9a-7364-4eb2-a97a-3811c9f4e6f5,
abstract = {{We numerically investigate the spatial and temporal statistical properties of a dilute polymer solution in the elastic turbulence regime, i.e., in the chaotic flow state occurring at vanishing Reynolds and high Weissenberg numbers. We aim at elucidating the relations between measurements of flow properties performed in the spatial domain with the ones taken in the temporal domain, which is a key point for the interpretation of experimental results on elastic turbulence and to discuss the validity of Taylor's hypothesis. To this end, we carry out extensive direct numerical simulations of the two-dimensional Kolmogorov flow of an Oldroyd-B viscoelastic fluid. Static pointlike numerical probes are placed at different locations in the flow, particularly at the extrema of mean flow amplitude. The results in the fully developed elastic turbulence regime reveal large velocity fluctuations, as compared to the mean flow, leading to a partial breakdown of Taylor's frozen-field hypothesis. While second-order statistics, probed by spectra and structure functions, display consistent scaling behaviors in the spatial and temporal domains, the third-order statistics highlight robust differences. In particular the temporal analysis fails to capture the skewness of streamwise longitudinal velocity increments. Finally, we assess both the degree of statistical inhomogeneity and isotropy of the flow turbulent fluctuations as a function of scale. While the system is only weakly nonhomogenous in the cross-stream direction, it is found to be highly anisotropic at all scales.}},
author = {{Garg, Himani and Calzavarini, Enrico and Berti, Stefano}},
issn = {{2470-0045}},
keywords = {{Elastic Turbulence; Statistical Analysis; Numerical simulations; microfluidic channel}},
language = {{eng}},
month = {{09}},
publisher = {{American Physical Society}},
series = {{Physical Review E}},
title = {{Statistical properties of two-dimensional elastic turbulence}},
url = {{http://dx.doi.org/10.1103/PhysRevE.104.035103}},
doi = {{10.1103/PhysRevE.104.035103}},
volume = {{104}},
year = {{2021}},
}