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Shear-banding instability of arbitrarily inelastic granular shear flows
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Shukla, Priyanka, Biswas, Lima and Gupta, Vinay (2019) Shear-banding instability of arbitrarily inelastic granular shear flows. Physical Review E, 100 (3). 032903 . doi:10.1103/PhysRevE.100.032903 ISSN 1539-3755.
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Official URL: https://doi.org/10.1103/PhysRevE.100.032903
Abstract
One prototypical instability in granular flows is the shearbanding instability, in which a uniform granular shear flow breaks into alternating bands of dense and dilute clusters of particles having low and high shear (shear stress or shear rate), respectively. In this work, the shearbanding instability in an arbitrarily inelastic granular shear flow is analyzed through the linear stability analysis of granular hydrodynamic equations closed with Navier–Stokes level constitutive relations. It is shown that the choice of appropriate constitutive relations plays an important role in predicting the shearbanding instability. A parametric study is carried out to study the effect of the restitution coefficient, channel width and mean density. Two global criteria relating the control parameters are found for onset of the shearbanding instability.
Item Type: | Journal Article | ||||||||||||
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Subjects: | Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General) |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
Library of Congress Subject Headings (LCSH): | Navier-Stokes equations, Granular materials -- Fluid dynamics -- Mathematical models | ||||||||||||
Journal or Publication Title: | Physical Review E | ||||||||||||
Publisher: | American Physical Society | ||||||||||||
ISSN: | 1539-3755 | ||||||||||||
Official Date: | 10 September 2019 | ||||||||||||
Dates: |
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Volume: | 100 | ||||||||||||
Number: | 3 | ||||||||||||
Article Number: | 032903 | ||||||||||||
DOI: | 10.1103/PhysRevE.100.032903 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Reuse Statement (publisher, data, author rights): | © 2019 American Physical Society | ||||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
Copyright Holders: | ©2019 American Physical Society | ||||||||||||
Date of first compliant deposit: | 26 July 2019 | ||||||||||||
Date of first compliant Open Access: | 26 July 2019 | ||||||||||||
RIOXX Funder/Project Grant: |
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