Numerical Analysis on Streamwise Particle Velocity of Solid-Liquid Two-Phase Flows in a Swaying Pipe. Dynamic characteristics on solid-liquid two-phase flows in a swaying pipe. (2nd Report).

In the first report, the relationship between a periodic motion of particles in a solid-liquid twophase flows and a swaying motion of a pipe was become clear experimentally. The virtual mass and the Basset term have a very important function for unsteady flows and micro dynamics of steady flows and it is necessary to prove the effects of these terms on particle motion. The solid-liquid two-phase flows in a swaying pipe is very suitable to do the above mentioned. This paper shows the effects on a particle motion of the flow by means of a high order numerical simulation. The main results are as follows:1.The equation of motion for solid particles in a swaying pipe with consideration of virtual mass, the Basset term and unsteady frictional force between particles and pipe wall is derived.2.The numerical method which can remove the trend on numerical solution originated by an inappropriate analysis for the Basset term is presented.3.The numerical results by means of the model and the numerical method express the characteristics of the particles motion of the flow.4.Virtual mass and the Basset term is needed to analyze time-series particles velocity of the flow and the differences between numerical solutions with consideration of these terms and ones without consideration those are clarified.5.The effects of these terms on time-average velocity are negligible from the standpoint of technology.