Abstract
The particle velocity is one of the most important factors on the dynamic characteristics of solid-liquid two-phase flows, however the investigations on the velocity in a pipe under swaying motion are not found. In this paper, the streamwise particle velocity in a swaying and horizontal pipe was theoretically and experimentally discussed. The velocity was measured by means of a digital image processing and the main results are as follows:
1. The modified Froude number for the particle in the swaying pipe is defined by the equation (23).
2. An auto-correlation analysis of the streamwise velocity of particles has shown that the velocity fluctuation has the period same as that of pipe swaying, Tp, and the period is independent of a mean velocity of solid-liquid mixture and at amplitude of pipe swaying.
3. A cross-correlation Analysis between the streamwise velocity of particles' and the swaying velocity of the pipe has shown that the streamwise velocity fluctuation has a phase gap of about +0.4Tp to that of the pipe swaying.
4. The empirical equations concerning to the average values of the streamwise particles' velocity and the amplitudes of its fluctuation were obtained as equations (22), (24), (25), (26), (28) and (29).
