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首页> 外文期刊>Physical review, E >Kinetic theory of shear thickening for a moderately dense gas-solid suspension: from discontinuous thickening to continuous thickening
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Kinetic theory of shear thickening for a moderately dense gas-solid suspension: from discontinuous thickening to continuous thickening

机译：适度致密气固悬浮液的剪切增厚动力学理论：从不连续增厚到连续增厚

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摘要

The Enskog kinetic theory for moderately dense gas-solid suspensions under simple shear flow is considered as a model to analyze the rheological properties of the system. The influence of the environmental fluid on solid particles is modeled via a viscous drag force plus a stochastic Langevinlike term. The Enskog equation is solved by means of two independent but complementary routes: (i) Grad's moment method and (ii) event-driven Langevin simulation of hard spheres. Both approaches clearly show that the flow curve (stress-strain rate relation) depends significantly on the volume fraction of the solid particles. In particular, as the density increases, there is a transition from the discontinuous shear thickening (observed in dilute gases) to the continuous shear thickening for denser systems. The comparison between theory and simulations indicate that while the theoretical predictions for the kinetic temperature agree well with simulations for densities Φ? 0.5, the agreement for the other rheological quantities (the viscosity, the stress ratio and the normal stress differences) is limited to more moderate densities (Φ ? 0.3) if the inelasticity during collisions between particles is not large.
机译：简单剪切流动下适度致密气体固体悬浮液的Enskog动力学理论被认为是分析系统流变性能的模型。环境流体对固体颗粒对固体颗粒的影响通过粘性牵伸力加上随机Langevinlike术语进行建模。通过两个独立但补充路线解决了Enskog等式：（i）毕业的时刻方法和（ii）硬球的事件驱动的Langevin模拟。两种方法都清楚地表明流动曲线（应力 - 应变率关系）显着取决于固体颗粒的体积分数。特别地，随着密度增加，从不连续剪切增厚（在稀释气体中观察到）的过渡到更密集系统的连续剪切增厚。理论和模拟之间的比较表明，虽然动力量温度的理论预测与密度φ的模拟很好？ 0.5，其他流变量（粘度，应力比和正常应力差）的协议限于更温和的密度（如果颗粒之间的碰撞期间的无弹性而不大。

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