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Rheology of granular liquids in extensional flows: Beyond the μ(I)-law

Coquand, Olivier and Sperl, Matthias (2021) Rheology of granular liquids in extensional flows: Beyond the μ(I)-law. Physical Review E, 104, 014604. American Physical Society. ISSN 2470-0045.

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Official URL: https://doi.org/10.1103/PhysRevE.104.014604

Abstract

The Granular Integration Through Transients (GITT) formalism gives a theoretical description of the rheology of moderately dense granular flows and suspensions. In this work, we extend the GITT equations beyond the case of simple shear flows studied before. Applying this to the particular example of extensional flows, we show that the predicted behavior is somewhat different from that of the more frequently studied simple shear case, as illustrated by the possibility of non monotonous evolution of the effective friction coefficient μ with the inertial number J. By the reduction of the GITT equations to simple toy-models, we provide a generalization of the μ(J)-law true for any type of flow deformation. Our analysis also includes a study of the Trouton ratio, which is shown to behave quite similarly to that of dense colloidal suspensions.

Item URL in elib:https://elib.dlr.de/142848/
Document Type:Article
Title:Rheology of granular liquids in extensional flows: Beyond the μ(I)-law
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Coquand, OlivierDLRUNSPECIFIED
Sperl, MatthiasUNSPECIFIEDUNSPECIFIED
Date:12 July 2021
Journal or Publication Title:Physical Review E
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:104
Page Range:014604
Publisher:American Physical Society
ISSN:2470-0045
Status:Published
Keywords:granular rheology, elongation,
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Research under Space Conditions
DLR - Research theme (Project):R - Model systems
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Physics in Space
Deposited By: Sperl, Matthias
Deposited On:16 Sep 2021 09:30
Last Modified:16 Sep 2021 09:30

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