Velocity discontinuity of particles flowing in a mass-flow hopper and its characteristic analysis.

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  • マスフローホッパ内の粒子群の速度不連続性とその特性線解析
  • マスフローホッパナイ ノ リュウシグン ノ ソクド フレンゾクセイ ト ソノ

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Abstract

The velocity distribution of particles flowing in a two-dimensional mass-flow hopper under gravity was obtained in the whole region of the hopper, by measuring the position of tracer particles against time. The characteristic regions of discontinuity or rapid change in velocity and flow direction were found from a detailed analysis of the velocity distribution obtained. On the other hand, an approximate calculus for the estimation of the “velocity characteristic curve” and “stress characteristic curve” (i.e., slip line) was proposed on the basis of plasticity theory. Theoretically, discontinuity in velocity is possible across the velocity characteristic curve. It was confirmed that both the characteristic regions estimated and obtained experimentally were identical. Also it was confirmed that the slip lines appear in the flow field that developed immediately after the yield of material occurred.

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