Fractal Dimension of Inclusion in Ladle Bottom Blowing Process Based on Fractal Theory
Author of the article:JU Jiantao;AN Jialiang;LIU Wenguo;WANG Jing;JI Guangheng
Author's Workplace：School of Metallurgical Engineering, Xi'an University of Architecture and Technology, Xi'an 710055, China
Key Words：fractal theory box dimension method inclusion fractal dimension floatation velocity
Abstract：
Based on the similarity theory and LF refining furnace as the research object, taking pictures at different time points and using professional image analysis software (Iamge Pro- Plus), Matlab and the method of the box dimension, the fractal dimension of single particles and aggregates were calculated. The relationship between floating velocity of the actual inclusion and particle edge fractal dimension under different flow rates were studied. The results show that the fractal dimension of inclusion can be accurately calculated by the method of box dimension, the more complex the morphology of inclusion, the larger the fractal dimension. The more complex the morphology of inclusion, the fractal dimension is more the larger. The increase of blowing volume is beneficial to the collision of inclusions and makes the fractal dimension of the aggregates larger. The fractal dimension of inclusion is positively correlated with the actual floating velocity, which is basically consistent with the theoretical value calculated by fractal dimension and dynamic diameter, which indicate that this method is accurate and feasible.
