| Since the 1990s, extensive research was carried out regarding solid-liquid two-phase movement in curvilinear flows, especially the study of numerical simulation. However, none of it was involved in deviation angle between 2-phase movements.In curvilinear flows, deviation motion of particle due to its different density and hydrodynamic force can lead to varieties of natural disaster and dangers in industrial process. However, it can be applied to water conservancy and mining industry. Studying its rule is necessary to control its damage and promote the development of corresponding technology. This thesis aims to propose a formula of deviation angle, a quantitative standard of deviation characteristics, through numerical and experimental method. As an auxiliary tool, numerical part aim to analyze the effect of hydrodynamic force on deviation angle and find out the main corresponding parameters. In case of 2D rotational flow (steady along streamline), the kinematic equation is solved through 4th order Runge-Kutta method to get the deviation angle induced by hydrodynamic forces. Based on the numerical result, 27 experiments with different particle diameter, density or rotational speed were carried out on a rotational platform. Three main errors are considered such as device's leveling, observational error and photos'distortion. Through specific approach, the error induced by distorted photos was narrowed down to minimum. Series of effective data was achieved by fitting observed data with spiral lines. The numerical simulations were consistently compared with the experimental results. Based on the multiple regression method, a formula was proposed to predict the deviation angle. The study shows that the motion of the particle resting on the bed developed very fast after initiating its movement, the deviation angle dramatically increased and reached a peak, and thereafter decreased gradually. The maximum deviation angle did not exceed 20 degree in the present tests. |
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