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Fractal with organic powder flowability Relationship

Author: ZhangLong
Tutor: TanHeQun
School: Huazhong Agricultural University
Course: Agricultural Mechanization Engineering
Keywords: Mobility Fractal dimension Box dimensions Carr Index
CLC: TB383.3
Type: Master's thesis
Year: 2010
Downloads: 154
Quote: 2
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Abstract


In the powder industry and products, and application of organic powder varieties occupy the majority, such as food, medicine, agriculture, materials and other industries. Powder contents of the study are: performance and characterization of powders, storage and transportation, preparation and operation. Powder directly affects the mobility of powder processing of various processes organization, equipment design and process parameter selection. Determination of powder flowability powder works as an important research topic, the powder industry has an important significance. Powder scales (including particle size, particle size and size distribution, surface area, shape, etc.) and powder adhesion associated with phase-flow, using fractal theory to quantify powder particle morphology and particle size distribution of microscopic surface conditions, will for the development and progress of the powder industry made important contributions. Powder particles in the micro scale geometry is not the rule, and be able to show a complex border with rough surfaces, powder fractal dimension can be a good powder particles to portray these fine structure, the powder particles Research into microscopic field, and thus more deeply to understand the structure of these fine powders of various physical and chemical properties of the correlation. The topics to feed organic powders commonly used in the industry as the research object, the establishment of an organic powder surface fractal dimension and boundary fractal dimension mathematical model to investigate the fractal dimension and the relationship between mobility. SEM images based on organic powders, application box dimension principle, by means of MATLAB software, to achieve a powder particle surface fractal dimension and boundary determination of the fractal dimension. Regression analysis on the determination of all equations validation results were highly significant (P lt; 0.01), box-counting method showed the reliability and practicality. In this thesis, box dimension method based on the theory extends the information dimension and differential box-counting dimension calculation method, information dimension fractal sets to reflect the internal inhomogeneity, more accurate grasp of the fine structure, the calculation results more accurate. Differential box dimension gray value of the image surface can reflect changes in particle surface irregularities degree. By Carr theory, been measured physical characterization of powder flowability index. Carr aims mainly to the number of the angle of repose, flat angle, compression and aggregation degree comprehensive characterization of powder flowability. Angle of repose and the flat angle greater, indicating that the powder agglomeration force, the more likely to accumulate; greater the degree of compression, the greater the porosity of the powder particles; agglutination degree can be used to characterize the particle size distribution of the powder. The fractal model measured the fractal dimension of the sample flow indicators linear fitting, box dimension Db and flow index between the linear equation: F =-119.295Db 217.218; Information Dimension between Di and flow index linear equation: F =-105.320Di 199.850; differential box-counting dimension and flow index Dbc linear equation: F =-80.368Dbc 216.062; Dbc two variables with Di and flow index model equation: F = -85.2 Di-25.370Dbc 224.680. These fitting linear equations through the F-test and t-test between the coefficients, validation results showed that: the regression coefficients and regression equations were significantly and highly significant, indicating that the fractal dimension and flow index linear relationship exists between, especially in the border Fractal Di on the most significant impact equation, is enough to prove that the fractal dimension can be used to characterize powder flowability.

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