Abstract

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.

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