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Wall roughness and nonlinear velocity profiles in granular shear flows

TitleWall roughness and nonlinear velocity profiles in granular shear flows
Publication TypeJournal Article
Year of Publication2017
AuthorsSchuhmacher P, Radjaï F, Roux S
Secondary AuthorsNezamabadi S, Luding S., Delenne J-Y
JournalEPJ Web of Conferences
Volume140
PaginationArticle Number 03090
Date PublishedJun-30-2017
Abstract

Inhomogeneous velocity profiles in granular flows are well known from both experiments and simulations, and considered as a hallmark of nonlocal behavior. By means of extensive contact dynamics simulations, we show that the sigmoidal velocity profiles in 2D flows of rigid disks are controlled by the roughness of driving boundary walls. We find that the velocity profile becomes linear for a critical value of wall roughness up to an exponential decay close to the walls with a characteristic length that does not depend on the flow thickness and rate. We describe the velocity profiles by introducing a state parameter that carries wall perturbation. By assuming that the local shear rate is a linear function of the state parameter, we obtain an analytical expression that fits velocity profiles. In this model, the nonlinear velocity profiles are explained in terms of the effects of wall roughness as boundary condition for the state parameter.

URLhttp://www.epj-conferences.org/10.1051/epjconf/201714003090
DOI10.1051/epjconf/201714003090
Short TitleEPJ Web Conf.
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