Strong oblique shock waves in granular free-surface flows

CUI, Xinjun (2021). Strong oblique shock waves in granular free-surface flows. Physics of Fluids, 33 (8), 083302-083302.

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Official URL: https://aip.scitation.org/doi/10.1063/5.0057700
Link to published version:: https://doi.org/10.1063/5.0057700
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    Abstract

    Strong oblique shock waves of granular flow are a steady-state solution formed when a granular free-surface flow deflects around a wedge-shaped obstacle at a supercritical speed, but they do not usually occur because their formation requires specific conditions to be satisfied downstream of the shock wave. This paper discusses the method of generating the strong oblique shock wave in a laboratory experiment and numerical simulation. The experiment is conducted on a plexiglass chute inclined at an angle to the horizontal, in which a dry granular material is released from a hopper at the top of the chute to form a channelized flow that passes a wedge at a downslope location. In order to generate a strong oblique shock wave, a second gate is established at the downstream of the wedge to control the material to flow out only at the designed time and height. Such a granular flowing process is simulated with a depth-averaged granular flow model, where the above two-gate system is mirrored into the inlet and outlet boundaries, respectively. The formation of the strong oblique shock is investigated through the transient solution of the flow field, and a good agreement is observed between the experiment and the simulation. Then, the steady-state solution of the interaction between the weak and strong oblique shocks is analyzed in the experiment and simulation. This result can be regarded as the third solution of granular shock because it can be formed by just changing the opening time of the second gate. With the dramatic change in flow thickness and velocity across the strong oblique shock, the bulk inertial number, used to quantify the rheological relation of granular materials, becomes extremely small, but it does not seem to affect the behavior of the flow discussed in this paper.

    Item Type: Article
    Additional Information: This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in (Physics of Fluids 33, 083302 (2021)) and may be found at https://aip.scitation.org/doi/pdf/10.1063/5.0057700
    Uncontrolled Keywords: Fluids & Plasmas; 01 Mathematical Sciences; 02 Physical Sciences; 09 Engineering
    Identification Number: https://doi.org/10.1063/5.0057700
    Page Range: 083302-083302
    SWORD Depositor: Symplectic Elements
    Depositing User: Symplectic Elements
    Date Deposited: 11 Oct 2021 10:04
    Last Modified: 11 Oct 2021 10:04
    URI: http://shura.shu.ac.uk/id/eprint/29151

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