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SPH modeling and simulation of spherical particles interacting in a viscoelastic matrix

A. Vázquez-Quesada, M. Ellero, Marco Ellero, Adolfo Vazquez-Quesada

Physics of Fluids, Volume: 29, Issue: 12, Start page: 121609

Swansea University Authors: Marco Ellero, Adolfo Vazquez-Quesada

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DOI (Published version): 10.1063/1.4993610

Abstract

In this work, we extend the three-dimensional Smoothed Particle Hydrodynamics (SPH) non-colloidal particulate model previously developed for Newtonian suspending media in Vázquez-Quesada and Ellero [“Rheology and microstructure of non-colloidal suspensions under shear studied with smoothed particle...

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Published in: Physics of Fluids
ISSN: 1089-7666
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa36188
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spelling 2020-06-03T13:17:19.7796425 v2 36188 2017-10-20 SPH modeling and simulation of spherical particles interacting in a viscoelastic matrix 84f2af0791d38bdbf826728de7e5c69d Marco Ellero Marco Ellero true false 14cfebea6166c6de4a9764b6e98e794c Adolfo Vazquez-Quesada Adolfo Vazquez-Quesada true false 2017-10-20 FGSEN In this work, we extend the three-dimensional Smoothed Particle Hydrodynamics (SPH) non-colloidal particulate model previously developed for Newtonian suspending media in Vázquez-Quesada and Ellero [“Rheology and microstructure of non-colloidal suspensions under shear studied with smoothed particle hydrodynamics,” J. Non-Newtonian Fluid Mech. 233, 37–47 (2016)] to viscoelastic matrices. For the solvent medium, the coarse-grained SPH viscoelastic formulation proposed in Vázquez-Quesada, Ellero, and Español [“Smoothed particle hydrodynamic model for viscoelastic fluids with thermal fluctuations,” Phys. Rev. E 79, 056707 (2009)] is adopted. The property of this particular set of equations is that they are entirely derived within the general equation for non-equilibrium reversible-irreversible coupling formalism and therefore enjoy automatically thermodynamic consistency. The viscoelastic model is derived through a physical specification of a conformation-tensor-dependent entropy function for the fluid particles. In the simple case of suspended Hookean dumbbells, this delivers a specific SPH discretization of the Oldroyd-B constitutive equation. We validate the suspended particle model by studying the dynamics of single and mutually interacting “noncolloidal” rigid spheres under shear flow and in the presence of confinement. Numerical results agree well with available numerical and experimental data. It is straightforward to extend the particulate model to Brownian conditions and to more complex viscoelastic solvents. Journal Article Physics of Fluids 29 12 121609 1089-7666 31 12 2017 2017-12-31 10.1063/1.4993610 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2020-06-03T13:17:19.7796425 2017-10-20T11:07:12.8229999 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised A. Vázquez-Quesada 1 M. Ellero 2 Marco Ellero 3 Adolfo Vazquez-Quesada 4 0036188-20102017110822.pdf vazquez-quesada2017(2).pdf 2017-10-20T11:08:22.9600000 Output 1759389 application/pdf Accepted Manuscript true 2017-10-20T00:00:00.0000000 true eng
title SPH modeling and simulation of spherical particles interacting in a viscoelastic matrix
spellingShingle SPH modeling and simulation of spherical particles interacting in a viscoelastic matrix
Marco Ellero
Adolfo Vazquez-Quesada
title_short SPH modeling and simulation of spherical particles interacting in a viscoelastic matrix
title_full SPH modeling and simulation of spherical particles interacting in a viscoelastic matrix
title_fullStr SPH modeling and simulation of spherical particles interacting in a viscoelastic matrix
title_full_unstemmed SPH modeling and simulation of spherical particles interacting in a viscoelastic matrix
title_sort SPH modeling and simulation of spherical particles interacting in a viscoelastic matrix
author_id_str_mv 84f2af0791d38bdbf826728de7e5c69d
14cfebea6166c6de4a9764b6e98e794c
author_id_fullname_str_mv 84f2af0791d38bdbf826728de7e5c69d_***_Marco Ellero
14cfebea6166c6de4a9764b6e98e794c_***_Adolfo Vazquez-Quesada
author Marco Ellero
Adolfo Vazquez-Quesada
author2 A. Vázquez-Quesada
M. Ellero
Marco Ellero
Adolfo Vazquez-Quesada
format Journal article
container_title Physics of Fluids
container_volume 29
container_issue 12
container_start_page 121609
publishDate 2017
institution Swansea University
issn 1089-7666
doi_str_mv 10.1063/1.4993610
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
active_str 0
description In this work, we extend the three-dimensional Smoothed Particle Hydrodynamics (SPH) non-colloidal particulate model previously developed for Newtonian suspending media in Vázquez-Quesada and Ellero [“Rheology and microstructure of non-colloidal suspensions under shear studied with smoothed particle hydrodynamics,” J. Non-Newtonian Fluid Mech. 233, 37–47 (2016)] to viscoelastic matrices. For the solvent medium, the coarse-grained SPH viscoelastic formulation proposed in Vázquez-Quesada, Ellero, and Español [“Smoothed particle hydrodynamic model for viscoelastic fluids with thermal fluctuations,” Phys. Rev. E 79, 056707 (2009)] is adopted. The property of this particular set of equations is that they are entirely derived within the general equation for non-equilibrium reversible-irreversible coupling formalism and therefore enjoy automatically thermodynamic consistency. The viscoelastic model is derived through a physical specification of a conformation-tensor-dependent entropy function for the fluid particles. In the simple case of suspended Hookean dumbbells, this delivers a specific SPH discretization of the Oldroyd-B constitutive equation. We validate the suspended particle model by studying the dynamics of single and mutually interacting “noncolloidal” rigid spheres under shear flow and in the presence of confinement. Numerical results agree well with available numerical and experimental data. It is straightforward to extend the particulate model to Brownian conditions and to more complex viscoelastic solvents.
published_date 2017-12-31T03:45:11Z
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score 11.035874

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