Flow of granular materials down a vertical pipe

Gudhe, R.; Yalamanchili, Raj; Massoudi, Mehrdad

doi:10.1016/0020-7462(94)90047-7

Cited by 20 publications

(14 citation statements)

References 24 publications

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“…3,4 These waves induce potentially destructive pressure transients on the inner-wall of the pipe and provide the mechanism responsible for the intermittent behavior of the flow. Although the dynamics of density waves in granular pipe flows have been studied extensively in the past both experimentally [5][6][7][8][9][10] and through different types of models, 3,4,[11][12][13][14][15][16][17][18][19] it is still a challenging problem to control the mass flux of the granular material flowing through a pipe. For example, Zuriguel et al 20 showed how insertion of an obstacle just above the outlet of a silo can significantly reduce the probability that the granular flow is arrested due to the formation of an arch blocking the silo's outlet.…”

Section: Introductionmentioning

confidence: 99%

Helical inner-wall texture prevents jamming in granular pipe flows

2015

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Granular pipe flows are characterized by intermittent behavior and large, potentially destructive solid fraction variations in the transport direction. By means of particle-based numerical simulations of gravity-driven flows in vertical pipes, we show that it is possible to obtain steady material transport by adding a helical texture to the inner-wall of the pipe. The helical texture leads to a more homogeneous mass flux along the pipe, prevents the emergence of large density waves and substantially reduces the probability of plug formation thus avoiding jamming of the particulate flow. We show that the granular mass flux Q through a pipe of diameter D with a helical texture of wavelength l follows the equation

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Section: Introductionmentioning

confidence: 99%

Helical inner-wall texture prevents jamming in granular pipe flows

2015

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“…documented to enjoy a good predictive capacity, (Savage 1979;Gudhe, Yalamanchili & Rajagopal 1994;Wang & Hutter 1999c;Kirchner & Teufel 2002;Massoudi & Phuoc 2005;Fang, Wang & Hutter 2006a;Fang 2008b), (ii) recent phenomenological expressions for the granular rheology that accord very well with experimental measurements, (Jop, Forterre & Pouliquen 2006;Henann & Kamrin 2013), can be rigorously accommodated in the theoretical framework of continuum mechanical models and in a way that conforms with the entropy law, and (iii) in the absence of theoretical results for dense granular flows, our picture concerning their stability properties remains incomplete.…”

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confidence: 85%

Stability of wall bounded, shear flows of dense granular materials: the role of the Couette gap, the wall velocity and the initial concentration

Varsakelis

Papalexandris

2016

J. Fluid Mech.

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In this paper, the stability of a plane, unidirectional Couette flow of a dense granular material is investigated via the means of a normal mode stability analysis. Our studies are based on a continuum mechanical model for the flows of interest coupled with the constitutive expressions for the normal and the shear stresses of the granular material induced by the µ(I)-rheology. According to our analysis, both the Couette gap and the wall velocity play a destabilizing role in the flows of interest as opposed to the initial concentration that acts as stabilizer. For sufficiently high Couette gaps and wall velocities, unstable modes are recovered. The predicted instability manifests itself through shear-induced dilatancy that, in turn, engenders particle migration and the formation of bulbs, similar to the ones that have been acquired through molecular dynamics simulations.

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“…For problems with bounded domain and with a certain degree of symmetry, such as flow in a vertical pipe [67], one can prescribe at the center of the pipe the following condition:…”

Section: Symmetry Conditionsmentioning

confidence: 99%

Boundary conditions in mixture theory and in CFD applications of higher order models

Massoudi¹

2007

Computers & Mathematics with Applications

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We discuss the importance of and the need for (additional) boundary conditions in Mixture Theory (also known as the Theory of Interacting Continua). Specifically, we will give an overview of the model due to Rajagopal and Massoudi which is appropriate for the flow of a linearly viscous fluid infused with solid particles. The solid particles are modeled as granular materials. In this formulation the need for additional boundary condition arises due to higher gradients of density (or volume fraction). The challenging issue of how to 'split' the total stress or the total velocity at the boundary is also discussed.

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Flow of granular materials down a vertical pipe

Cited by 20 publications

References 24 publications

Helical inner-wall texture prevents jamming in granular pipe flows

Helical inner-wall texture prevents jamming in granular pipe flows

Stability of wall bounded, shear flows of dense granular materials: the role of the Couette gap, the wall velocity and the initial concentration

Boundary conditions in mixture theory and in CFD applications of higher order models

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