In this paper, we investigate the pulsatile flow of a cement slurry in a pipe. The constitutive relation for the viscous stress tensor is based on the power-law model, where the shear viscosity not only depends on the shear rate but also the volume fraction of the cement particles. To solve for the volume fraction field, a convection–diffusion equation is used. The dimensionless form of the governing equations and the boundary conditions are solved numerically at different pulsatile cycles. A parametric study is conducted to study the effect of different dimensionless numbers at different cycles on the velocity and the volume fraction profiles.

中文翻译：

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水泥浆的脉动Poiseuille流

在本文中，我们研究了管道中水泥浆的脉动流。粘性应力张量的本构关系基于幂律模型，其中剪切粘度不仅取决于剪切速率，还取决于水泥颗粒的体积分数。为了求解体积分数场，使用了对流扩散方程。控制方程的无量纲形式和边界条件在不同的脉动周期下通过数值求解。进行了参数研究，以研究不同循环中不同无量纲数对速度和体积分数分布的影响。