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Fractal Properties Of Pore Distribution In Electrospun Nanofiber Membranes And Mathematical Modelling Of Multi-jet Formation

Posted on:2022-05-05Degree:MasterType:Thesis
Country:ChinaCandidate:C Y BaiFull Text:PDF
GTID:2511306494494804Subject:Mathematics
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In recent years,electrospinning nanofibers are one of the most widely studied and applied technologies in the field of preparation and application.Due to the complex and chaotic characteristics of electrospinning nanofiber membrane,fractal theory is a suitable mathematical framework.In this paper,the fractal properties of the average pore distribution of electrostatic spinning nanofiber membrane were studied by using fractal theory in mathematics,Matlab and other computer software.By using G-P algorithm,the associated fractal dimension of the sample was calculated according to the sample data processed by Feigenbaumconstant.Secondly,the relationship between the fractal dimension of the sample and the physical properties of nonwovens is studied,the relationship between the fractal dimension of the average pore width distribution of electrospun nanofiber membrane and the air flow resistance is analyzed,and the quadratic function relationship between them is obtained.Finally,this paper studies the mechanism of auxiliary electrode electrostatic spinning of nanofibers,explore the mathematical model of the jet to produce more,get more jet critical condition,and generated jet quantity number is increased after the first reduce with the increase of electric field intensity,the fitting results with experimental data and theoretical derivation are basic photogenic,thus solved from more than the number of the conditions and the effects of jet jet mathematical mechanism,to further improve the technology and scale production and provides the technical support.
Keywords/Search Tags:Electrospinning nanofibers, Average pore width, Correlation fractal dimension, Fractal, Many jet, Auxiliary electrode, Mathematical model, Critical condition
PDF Full Text Request
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