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Characterizing the transition between the quasi-static and intermediate regimes in weakly cohesive granular flows

机译:表征弱内聚颗粒流中准静态和中间态之间的过渡

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The transition from slow frictional to intermediate granular flows is of interest in such process applications as binder agglomeration, powder mixing and precise metering and pneumatic conveying. Slow frictional (I.e., quasi-static) flows are typically characterized using a Mohr-Coulomb analysis of shear-cell data. The quasi-static analysis (tensile intercept and curvature approaching the critical state) is very sensitive to curve fitting of this data. The present paper builds on previous work using a scaling approach of a family of yield loci to supply additional curve-fitting constraints [Mort et al., 2002]. While methods for the characterization of intermediate granular flows are not as well developed, the use of stress transducers to measure stress fluctuations has been successfully demonstrated [Talu et al., 2001 and Tardos et al., 2003]. The current paper considers characterization of both flow regimes with a focus on the transition from one regime to the other. On one hand, the slope of yield loci generated by Mohr-Coulomb analyses can be extrapolated to obtain an estimate of cohesive and tensile intercepts. In theory, the tensile should be directly related to the inter-particle attractive forces that are acting on the particles in the quasi-static state. On the other hand, the curvature of the yield locus as it approaches the critical state (I.e., the point of fully-consolidated flow in the quasi-static regime) is relevant to the difference between the shear stresses at incipient and steady state flow. While steady-state flow is typically described as a straight line on the Mohr- Coulomb plot, the incipient yield locus is often curved. Increased curvature of the incipient locus generally results in reduced internal friction at the critical state (I.e., under full consolidation). The magnitude of internal friction at the critical state [and/or the relative difference between the incipient and steady-state shear stress] appears to correlate to the magnitude of stress fluctuations measured in the transition from static to intermediate bulk flows. Preliminary evidence is presented in this paper to support the above correlation.
机译:在诸如粘合剂团聚,粉末混合以及精确计量和气动输送之类的过程应用中,从缓慢摩擦流到中间颗粒流的过渡是有意义的。缓慢的摩擦(即准静态)流动通常使用剪切单元数据的Mohr-Coulomb分析来表征。准静态分析(拉力截距和曲率接近临界状态)对于此数据的曲线拟合非常敏感。本文基于以前的工作,使用了一系列产量位点的缩放方法来提供额外的曲线拟合约束[Mort等,2002]。尽管表征中间颗粒流的方法还不完善,但已经成功地证明了使用应力传感器测量应力波动的方法[Talu等,2001; Tardos等,2003]。本文考虑了两种流动状态的表征,重点是从一种状态到另一种状态的过渡。一方面,可以对由Mohr-Coulomb分析生成的屈服位点的斜率进行推断,以获得内聚和拉伸截距的估计值。从理论上讲,张力应与在准静态状态下作用于粒子的粒子间吸引力直接相关。另一方面,屈服轨迹接近临界状态时的曲率(即准静态状态下的全固结点)与初期和稳态时的剪切应力之差有关。尽管稳态流动通常在Mohr-Coulomb图上描述为一条直线,但初期屈服轨迹通常是弯曲的。初始轨迹的曲率增加通常会导致临界状态(即,在完全固结下)的内部摩擦减小。临界状态下的内部摩擦强度[和/或初始剪切应力与稳态剪切应力之间的相对差]似乎与从静态到中间整体流动的过渡过程中测得的应力波动的大小相关。本文提供了初步的证据来支持上述相关性。

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