Strong oblique shock waves in granular free-surface flows

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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
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 analysed 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 behaviour of the flow discussed in this paper .
Original languageEnglish
Number of pages15
Publication statusPublished - 1 Aug 2021


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