Research On The Mathematical Model And Fractal Properties Of Electrospun Nanofiber Diameter

Since the diameter of the nanofiber affects the filtration efficiency and resistance of the nonwoven fabric,we use the BP neural network to study the Mathematical Model of the electrospinning nanofiber diameter about the distance(cm),the injection rate(ml/h)and the voltage(kv)and the relationship between the correlation dimension of diameter fractal and filtration efficiency is studied.First,based on the theory of statistical orthogonality,we make 30 sets experiments and obtain 30 sets of nanofiber membranes.After,electron microscope images of the nanofiber membrane are got by the TM-1000 electron microscopy.Then,we use C++to process the fiber images to get the diameter distribution of the nanofibers.The function relationship of the nanofiber diameter under three variables is obtained by MATLAB software to apply BP neural network knowledge.After obtaining the functional relationship,we random make three groups of experiments and compare the results with the experimental results and calculation results finding that the relative error is small,verify the function correct,and we analysis the distribution of the diameter under fixed one variable and fixed two variables,finding the relationship between nanofiber diameter and variables change.Last we use fractal theory to study the fractal properties of electrospinning nanofiber diameter distribution.The diameter of the samples after treatment with Feigenbaum constant are called relative diameter.Though MATLAB calculate,the correlation dimension of relative diameter distribution have a positive correlation with filtration efficiency.