skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Depth resolved granular transport driven by shearing fluid flow

Authors:
;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1345283
Grant/Contract Number:
FG02-13ER16401
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review Fluids
Additional Journal Information:
Journal Volume: 2; Journal Issue: 2; Related Information: CHORUS Timestamp: 2017-02-28 22:10:30; Journal ID: ISSN 2469-990X
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Allen, Benjamin, and Kudrolli, Arshad. Depth resolved granular transport driven by shearing fluid flow. United States: N. p., 2017. Web. doi:10.1103/PhysRevFluids.2.024304.
Allen, Benjamin, & Kudrolli, Arshad. Depth resolved granular transport driven by shearing fluid flow. United States. doi:10.1103/PhysRevFluids.2.024304.
Allen, Benjamin, and Kudrolli, Arshad. Tue . "Depth resolved granular transport driven by shearing fluid flow". United States. doi:10.1103/PhysRevFluids.2.024304.
@article{osti_1345283,
title = {Depth resolved granular transport driven by shearing fluid flow},
author = {Allen, Benjamin and Kudrolli, Arshad},
abstractNote = {},
doi = {10.1103/PhysRevFluids.2.024304},
journal = {Physical Review Fluids},
number = 2,
volume = 2,
place = {United States},
year = {Tue Feb 28 00:00:00 EST 2017},
month = {Tue Feb 28 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevFluids.2.024304

Save / Share:
  • Cited by 11
  • We discuss the application of a recently developed theory of multiphase mixtures to fluid-saturated granular materials. The theory includes the incompressibility of each phase, but unlike other theories of the type, does not require pressure equilibrium between the phases. We do a theoretical study of the motion of this material in a viscometric simple shearing apparatus. It is shown that simple shearing generally does not occur. Typically, in the vicinity of a boundary, if the solid volume fraction is low, a layer of high shear rate occurs, while if the solid volume fraction is high, a ''locking'' phenomenon occurs. Otherwise,more » there is a tendency for particles to accumulate in regions of low shear rate.« less
  • Slow flow of granular materials, which typically occurs during the emptying of industrial storage hoppers and bins, has great industrial relevance. In the present study, we have employed our newly developed dilatant double shearing model [H. Zhu, M.M. Mehrabadi, M. Massoudi, Incorporating the effects of fabric in the dilatant double shearing model for granular materials, Int. J. Plast. 22 (2006) 628-653] to study the slow flow of a frictional, dense granular material. Although most models pertain only to the fully developed granular flow, the application of the dilatant double shearing model is shown to be valid from the onset ofmore » granular flow to the fully developed granular flow. In this paper, we use the finite element program ABAQUS/Explicit to numerically simulate the granular Couette flow and the frictional granular flow in a silo. For the granular Couette flow, the relative density variation and the velocity profile obtained by using the dilatant double shearing model are in good quantitative agreement with those obtained from a DEM simulation. For the frictional flow in a silo, the major principal stress directions are obtained at various time steps after the onset of silo discharge. We find that, in the hopper zone, the arching of the granular material between the sloping hopper walls is clearly demonstrated by the change in direction of the major principal stress. We also compare the pressure distribution along the wall before and after the onset of silo discharge. The numerical results show that the dilatant double shearing model is capable of capturing the essential features of the frictional granular flow.« less
  • After providing a brief review of the constitutive modeling of the stress tensor for granular materials using non-Newtonian fluid models, we study the flow between two horizontal flat plates. It is assumed that the granular media behaves as a non-Newtonian fluid (of the Reiner–Rivlin type); we use the constitutive relation derived by Rajagopal and Massoudi [Rajagopal, K. R. and M. Massoudi, “A Method for measuring material moduli of granular materials: flow in an orthogonal rheometer,” Topical Report, DOE/PETC/TR-90/3, 1990] which can predict the normal stress differences. The lower plate is fixed and heated, and the upper plate (which is atmore » a lower temperature than the lower plate) is set into motion with a constant velocity. The steady fully developed flow and the heat transfer equations are made dimensionless and are solved numerically; the effects of different dimensionless numbers and viscous dissipation are discussed.« less
  • A previously developed multiphase mixture theory is used to study the motion of a fluid-saturated granular material in a conventional viscometric simple shearing apparatus. It is shown that simple shearing generally does not occur. Typically, the shearing is concentrated in the vicinity of the boundaries, and the particles concentrate in the regions of low shearing. These results are consistent with experimental observations and other analytical studies of single particle motion in shearing flows.