Study on an N-Parallel FENE-P Constitutive Model Based on Multiple Relaxation Times for Viscoelastic Fluid

Jingfa Li; Bo Yu; Shuyu Sun; Dongliang Sun

doi:10.1007/978-3-319-93713-7_57

Study on an N-Parallel FENE-P Constitutive Model Based on Multiple Relaxation Times for Viscoelastic Fluid

Jingfa Li, Bo Yu^*, Shuyu Sun, Dongliang Sun

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

An N-parallel FENE-P constitutive model based on multiple relaxation times is proposed in this paper, which aims at accurately describing the apparent viscosity of viscoelastic fluid. The establishment of N-parallel FENE-P constitutive model and the numerical approach to calculate the apparent viscosity are presented in detail, respectively. To validate the performance of the proposed constitutive model, it is compared with the conventional FENE-P constitutive model (It only has single relaxation time) in estimating the apparent viscosity of two common viscoelastic fluids: polymer and surfactant solutions. The comparative results indicate the N-parallel FENE-P constitutive model can represent the apparent viscosity of polymer solutions more accurate than the traditional model in the whole range of shear rate (0.1 s⁻¹–1000 s⁻¹), and the advantage is more noteworthy especially when the shear rate is higher (10 s⁻¹–1000 s⁻¹). Despite both the proposed model and the traditional model can’t capture the interesting shear thickening behavior of surfactant solutions, the proposed constitutive model still possesses advantage over the traditional one in depicting the apparent viscosity and first normal stress difference. In addition, the N-parallel FENE-P constitutive model demonstrates a better applicability and favorable adjustability of the model parameters.

Original language	English (US)
Title of host publication	Computational Science – ICCS 2018 - 18th International Conference, Proceedings
Editors	Jack Dongarra, Haohuan Fu, Valeria V. Krzhizhanovskaya, Michael Harold Lees, Peter M. Sloot, Yong Shi, Yingjie Tian
Publisher	Springer Verlag
Pages	610-623
Number of pages	14
ISBN (Print)	9783319937120
DOIs	https://doi.org/10.1007/978-3-319-93713-7_57
State	Published - 2018
Event	18th International Conference on Computational Science, ICCS 2018 - Wuxi, China Duration: Jun 11 2018 → Jun 13 2018

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	10862 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	18th International Conference on Computational Science, ICCS 2018
Country/Territory	China
City	Wuxi
Period	06/11/18 → 06/13/18

Bibliographical note

Publisher Copyright:
© 2018, Springer International Publishing AG, part of Springer Nature.

Keywords

Apparent viscosity
FENE-P constitutive model
Multiple relaxation times
N-parallel
Viscoelastic fluids

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-319-93713-7_57

Cite this

Li, J., Yu, B., Sun, S., & Sun, D. (2018). Study on an N-Parallel FENE-P Constitutive Model Based on Multiple Relaxation Times for Viscoelastic Fluid. In J. Dongarra, H. Fu, V. V. Krzhizhanovskaya, M. H. Lees, P. M. Sloot, Y. Shi, & Y. Tian (Eds.), Computational Science – ICCS 2018 - 18th International Conference, Proceedings (pp. 610-623). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10862 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-93713-7_57

Li, Jingfa ; Yu, Bo ; Sun, Shuyu et al. / Study on an N-Parallel FENE-P Constitutive Model Based on Multiple Relaxation Times for Viscoelastic Fluid. Computational Science – ICCS 2018 - 18th International Conference, Proceedings. editor / Jack Dongarra ; Haohuan Fu ; Valeria V. Krzhizhanovskaya ; Michael Harold Lees ; Peter M. Sloot ; Yong Shi ; Yingjie Tian. Springer Verlag, 2018. pp. 610-623 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{06a12764b69045b3a76fbf3e93570558,

title = "Study on an N-Parallel FENE-P Constitutive Model Based on Multiple Relaxation Times for Viscoelastic Fluid",

abstract = "An N-parallel FENE-P constitutive model based on multiple relaxation times is proposed in this paper, which aims at accurately describing the apparent viscosity of viscoelastic fluid. The establishment of N-parallel FENE-P constitutive model and the numerical approach to calculate the apparent viscosity are presented in detail, respectively. To validate the performance of the proposed constitutive model, it is compared with the conventional FENE-P constitutive model (It only has single relaxation time) in estimating the apparent viscosity of two common viscoelastic fluids: polymer and surfactant solutions. The comparative results indicate the N-parallel FENE-P constitutive model can represent the apparent viscosity of polymer solutions more accurate than the traditional model in the whole range of shear rate (0.1 s−1–1000 s−1), and the advantage is more noteworthy especially when the shear rate is higher (10 s−1–1000 s−1). Despite both the proposed model and the traditional model can{\textquoteright}t capture the interesting shear thickening behavior of surfactant solutions, the proposed constitutive model still possesses advantage over the traditional one in depicting the apparent viscosity and first normal stress difference. In addition, the N-parallel FENE-P constitutive model demonstrates a better applicability and favorable adjustability of the model parameters.",

keywords = "Apparent viscosity, FENE-P constitutive model, Multiple relaxation times, N-parallel, Viscoelastic fluids",

author = "Jingfa Li and Bo Yu and Shuyu Sun and Dongliang Sun",

note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature.; 18th International Conference on Computational Science, ICCS 2018 ; Conference date: 11-06-2018 Through 13-06-2018",

year = "2018",

doi = "10.1007/978-3-319-93713-7_57",

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series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

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pages = "610--623",

editor = "Jack Dongarra and Haohuan Fu and Krzhizhanovskaya, {Valeria V.} and Lees, {Michael Harold} and Sloot, {Peter M.} and Yong Shi and Yingjie Tian",

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address = "Germany",

}

Li, J, Yu, B, Sun, S & Sun, D 2018, Study on an N-Parallel FENE-P Constitutive Model Based on Multiple Relaxation Times for Viscoelastic Fluid. in J Dongarra, H Fu, VV Krzhizhanovskaya, MH Lees, PM Sloot, Y Shi & Y Tian (eds), Computational Science – ICCS 2018 - 18th International Conference, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10862 LNCS, Springer Verlag, pp. 610-623, 18th International Conference on Computational Science, ICCS 2018, Wuxi, China, 06/11/18. https://doi.org/10.1007/978-3-319-93713-7_57

Study on an N-Parallel FENE-P Constitutive Model Based on Multiple Relaxation Times for Viscoelastic Fluid. / Li, Jingfa; Yu, Bo; Sun, Shuyu et al.
Computational Science – ICCS 2018 - 18th International Conference, Proceedings. ed. / Jack Dongarra; Haohuan Fu; Valeria V. Krzhizhanovskaya; Michael Harold Lees; Peter M. Sloot; Yong Shi; Yingjie Tian. Springer Verlag, 2018. p. 610-623 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10862 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Study on an N-Parallel FENE-P Constitutive Model Based on Multiple Relaxation Times for Viscoelastic Fluid

AU - Li, Jingfa

AU - Yu, Bo

AU - Sun, Shuyu

AU - Sun, Dongliang

PY - 2018

Y1 - 2018

N2 - An N-parallel FENE-P constitutive model based on multiple relaxation times is proposed in this paper, which aims at accurately describing the apparent viscosity of viscoelastic fluid. The establishment of N-parallel FENE-P constitutive model and the numerical approach to calculate the apparent viscosity are presented in detail, respectively. To validate the performance of the proposed constitutive model, it is compared with the conventional FENE-P constitutive model (It only has single relaxation time) in estimating the apparent viscosity of two common viscoelastic fluids: polymer and surfactant solutions. The comparative results indicate the N-parallel FENE-P constitutive model can represent the apparent viscosity of polymer solutions more accurate than the traditional model in the whole range of shear rate (0.1 s−1–1000 s−1), and the advantage is more noteworthy especially when the shear rate is higher (10 s−1–1000 s−1). Despite both the proposed model and the traditional model can’t capture the interesting shear thickening behavior of surfactant solutions, the proposed constitutive model still possesses advantage over the traditional one in depicting the apparent viscosity and first normal stress difference. In addition, the N-parallel FENE-P constitutive model demonstrates a better applicability and favorable adjustability of the model parameters.

AB - An N-parallel FENE-P constitutive model based on multiple relaxation times is proposed in this paper, which aims at accurately describing the apparent viscosity of viscoelastic fluid. The establishment of N-parallel FENE-P constitutive model and the numerical approach to calculate the apparent viscosity are presented in detail, respectively. To validate the performance of the proposed constitutive model, it is compared with the conventional FENE-P constitutive model (It only has single relaxation time) in estimating the apparent viscosity of two common viscoelastic fluids: polymer and surfactant solutions. The comparative results indicate the N-parallel FENE-P constitutive model can represent the apparent viscosity of polymer solutions more accurate than the traditional model in the whole range of shear rate (0.1 s−1–1000 s−1), and the advantage is more noteworthy especially when the shear rate is higher (10 s−1–1000 s−1). Despite both the proposed model and the traditional model can’t capture the interesting shear thickening behavior of surfactant solutions, the proposed constitutive model still possesses advantage over the traditional one in depicting the apparent viscosity and first normal stress difference. In addition, the N-parallel FENE-P constitutive model demonstrates a better applicability and favorable adjustability of the model parameters.

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KW - N-parallel

KW - Viscoelastic fluids

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SN - 9783319937120

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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A2 - Tian, Yingjie

PB - Springer Verlag

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Li J, Yu B, Sun S, Sun D. Study on an N-Parallel FENE-P Constitutive Model Based on Multiple Relaxation Times for Viscoelastic Fluid. In Dongarra J, Fu H, Krzhizhanovskaya VV, Lees MH, Sloot PM, Shi Y, Tian Y, editors, Computational Science – ICCS 2018 - 18th International Conference, Proceedings. Springer Verlag. 2018. p. 610-623. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-93713-7_57

Study on an N-Parallel FENE-P Constitutive Model Based on Multiple Relaxation Times for Viscoelastic Fluid

Abstract

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Keywords

ASJC Scopus subject areas

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