In rock grouting, idealized 2D-radial laminar flow of yield stress fluids (YSF) is a fundamental flow configuration that is used for cement grout spread estimation. A limited amount of works have presented analytical and numerical solutions on the radial velocity profiles between parallel disks. However, to the best of our knowledge, there has been no experimental work that has presented measured velocity profiles for this geometry. In this paper, we present velocity profiles of Carbopol (a simple YSF), measured by pulsed ultrasound velocimetry within a radial flow model. We describe the design of the physical model and then present the measured velocity profiles while highlighting the plug-flow region and slip effects observed for three different apertures and volumetric flow rates. Although the measured velocity profiles exhibited wall slip, there was a reasonably good agreement with the analytical solution. We then discuss the major implications of our work on radial flow.

中文翻译：

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光滑平行圆盘之间屈服应力流体的径向流速分布

在岩石灌浆中，屈服应力流体 (YSF) 的理想化二维径向层流是一种基本的流动配置，用于估计水泥浆的扩散。有限数量的工作已经提出了平行圆盘之间径向速度分布的解析和数值解。然而，据我们所知，还没有实验工作提供了这种几何形状的测得速度剖面。在本文中，我们展示了 Carbopol（一种简单的 YSF）的速度分布，通过径向流模型内的脉冲超声测速法测量。我们描述了物理模型的设计，然后展示了测得的速度分布，同时突出了在三种不同孔径和体积流速下观察到的推流区域和滑移效应。尽管测得的速度剖面表现出壁滑，与解析解有相当好的一致性。然后我们讨论我们对径向流工作的主要影响。