In this paper, we have considered a two-phase flow in a groovy curved channel. The fluid contains a uniformly distributed small particles and the flow is generated by a transient pressure gradient along the grooves. The governing equations describing the flow in the groovy curved domain are developed and the analytical solution of the complex flow field is determined using domain perturbation method. The effect of the particles on the flow is discussed through the particle relaxation time relative to the flow characteristic time. It is found that the fluid and particle velocities depend on the magnitude of particle relaxation time relative to the flow characteristic time. The effect of the grooves on the transient flow is examined in the presence of the fluid-particle interactions, and the associated results have been reported. The results are further compared with those of a two-phase flow in a smooth curved channel and a particle-free flow in a groovy curved channel, which are special cases of the present study.

在本文中，我们考虑了在槽形弯曲通道中的两相流动。流体包含均匀分布的小颗粒，并且流动是通过沿凹槽的瞬时压力梯度产生的。建立了描述曲线弯曲区域中流动的控制方程，并使用区域摄动法确定了复杂流场的解析解。通过相对于流动特征时间的粒子弛豫时间来讨论粒子对流动的影响。发现流体和颗粒的速度取决于颗粒弛豫时间相对于流动特征时间的大小。在存在流体-颗粒相互作用的情况下，检查了沟槽对瞬态流动的影响，并报道了相关的结果。