Extended kinetic theory for granular flow in a vertical chute

Islam, Mudasir ul; Jenkins, James T.; Das, Sovan Lal

doi:10.1017/jfm.2022.807

Cited by 4 publications

(2 citation statements)

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“…It was shown that the rheology is well explained using the hard-particle model in the loose shearing zone, but the particle stiffness affects the rheology in the dense shearing zone and the plug zone. An extended kinetic theory has been proposed by Berzi, Jenkins & Richard (2020) where the effect of the particle stiffness is incorporated, and applied for the present flow configuration by Debnath et al (2022a) and Islam, Jenkins & Das (2022).…”

Section: Introductionmentioning

confidence: 99%

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Cross-stream oscillations in the granular flow through a vertical channel

Debnath,

Kesava Rao,

Kumaran

2023

J. Fluid Mech.

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The gravity flow of a granular material between two vertical walls separated by a width $2W$ is simulated using the discrete element method (DEM). Periodic boundary conditions are applied in the flow (vertical) and the other horizontal directions. The mass flow rate is controlled by specifying the average solids fraction $\bar {\phi }$ , the ratio of the volume of the particles to the volume of the channel. A steady fully developed state can be achieved for a narrow range of $\bar {\phi }$ , $\bar {\phi }_{max} \geq \bar {\phi } \geq \bar {\phi }_{cr}$ , and the material is in free fall for $\bar {\phi } < \bar {\phi }_{min}$ . For an intermediate range of $\bar {\phi }$ ( $\bar {\phi }_{cr} > \bar {\phi } \geq \bar {\phi }_{min}$ ), there are oscillations in the horizontal coordinate of the centre of mass, velocity components and stress. As $\bar {\phi }$ decreases in the range $\bar {\phi }_{cr} > \bar {\phi } \geq \bar {\phi }_{min}$ , the amplitude of the oscillations increases proportional to $\sqrt {\bar {\phi }_{cr} - \bar {\phi }}$ and the frequency appears to tend to a non-zero value as $\bar {\phi } \rightarrow \bar {\phi }_{cr}$ , indicating a supercritical Hopf bifurcation. The relation between the dominant frequency and the higher harmonics of the position, velocity and stress fluctuations are explained using the momentum balance. It is found that dissipation in the inter-particle and particle–wall contacts is critical for the presence of an oscillatory state.

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Section: Introductionmentioning

confidence: 99%

“…An extended kinetic theory has been proposed by Berzi, Jenkins & Richard (2020) where the effect of the particle stiffness is incorporated, and applied for the present flow configuration by Debnath et al. (2022 a ) and Islam, Jenkins & Das (2022).…”

Section: Introductionmentioning

confidence: 99%