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Dynamics of laminar pressure-driven channel flows laden with neutrally buoyant finite-size particles.

机译:层流压力驱动的通道流充满了中性浮力有限尺寸颗粒的动力学。

摘要

Since the pioneering work of Reynolds (1883), much effort has been allocated on the topic of laminar-turbulent transition regime in a single-phase flow, with special focusing on the unstable and intermittent natures of this regime (Mullin, 2011). The transition regime of dispersed flows carried less attention even though dispersed flows are used in many industrial processes. As for suspensions of neutrally buoyant particles, Matas et al. (2003) observed changes in the values of the critical Reynolds numbers depending on both the solid volume fraction and the particle-to-pipe sizeratio. Typically, the transition occurs at lower Reynolds numbers when the flow carries macro-sized particles at dilute to moderate concentrations (up to 25%). On the contrary, the critical Reynolds numbers of the onset of transition is shifted towards greater values when particles are micro-sized and their concentration is higher. In this work, we aim at understanding the mechanisms lying behind the shift of the laminar-turbulent transition regime down to lower critical Reynolds numbers in suspension flows of macro-sized particles. Fully-coupled numerical simulations are used to investigate the interactions between neutrally-buoyant finite-size particles and a transitional channel flow. To our knowledge, other than the simulations of Shao et al. (2012) and Garcia-Villalba et al. (2012) performed in turbulent channel flows, there are no direct numerical simulations performed on fluctuating suspension flows in channels or pipes with finite-size particles. The numerical method chosen for this work is the Force-Coupling Method (FCM) (Maxey and Patel, 2001, Lomholt and Maxey 2003). It is fully-resolved in the sense that the fluid equations are solved at a length-scale smaller than the particle radius. In a first step, the laminarization process of a single-phase flow initially turbulent at Re=6000 is statistically characterized (Re is based on the average flow velocity, the channel height and the kinematic viscosity). In a second step, particles are randomly added to the fluctuating channel flow at a solid volume fraction of 5%, the size ratio of particle diameter to channel height being 1/16. The starting point of the calculation of the suspension flow is a snapshot taken from the single-phase flow case at Re=1625 (the smallest Reynolds number at which the flow does not relaminarize).
机译:自从雷诺兹(1883)的开创性工作以来,在层流-湍流过渡状态的单相流方面已经做出了很多努力,特别关注了该状态的不稳定和间歇性(Mullin,2011)。即使在许多工业过程中使用分散流,分散流的过渡机制也很少受到关注。至于中性浮力颗粒的悬浮液,Matas等。 (2003年)观察到临界雷诺数的值的变化取决于固体体积分数和粒子与管道的尺寸比。通常,当流携带稀释到中等浓度(最高25%)的宏观颗粒时,过渡会在较低的雷诺数下发生。相反,当微粒为微尺寸且其浓度较高时,转变开始的临界雷诺数将移向更大的值。在这项工作中,我们旨在了解层状湍流过渡态向下移动到降低大尺寸颗粒悬浮流中的临界雷诺数背后的机理。使用全耦合数值模拟来研究中性浮力有限尺寸颗粒与过渡通道流之间的相互作用。据我们所知,除了邵等人的模拟。 (2012年)和Garcia-Villalba等人。 (2012年)在湍流通道流动中进行,没有直接的数值模拟对具有有限尺寸的颗粒的通道或管道中的悬浮流动波动。为此工作选择的数值方法是力耦合方法(FCM)(Maxey和Patel,2001; Lomholt和Maxey,2003)。从流体方程以小于粒子半径的长度尺度求解的意义上说,它是完全解析的。在第一步中,统计地表征最初在Re = 6000处湍流的单相流的层流过程(Re基于平均流速,通道高度和运动粘度)。在第二步中,将颗粒以5%的固相体积分数随机添加到波动的通道流中,粒径与通道高度的尺寸比为1/16。悬浮液计算的起点是快照,取自Re = 1625(不重新分层的最小雷诺数)的单相流动情况。

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