Fractal Properties of Pore Distribution of Electrospun Nanofiber Membrane

Main Article Content

Bai Chun- yu
Chen Ying
Liu Yong
Shi Luo- yi
Chen Ru- dong


Due to the complex and chaotic characteristics of elecrtospun nanofiber membrane, fractal theory is a suitable mathematical framework. Using the fractal theory, Matlab and other computer software in Mathematics, the fractal properties of pore distribution of elecrtospun nanofiber membrane and the relationship between the fractal dimension and the physical properties of nonwovens are studied. Thirty samples were produced by using polyvinyl alcohol (PVA)on the DXES-01 automatic electrostatic spinning machine; BMP images of 30 samples were obtained by TM-1000 table scanning electron microscope; The scanning electron micro-scope images were grayed by digital image processing technology, and the average pore width of the samples was further calculated by Matlab software from the gray value matrix; G-P algorithm is used to calculate the fractal dimension of pore width distribution; The relationship between air flow resistance and the fractal dimension of pore width distribution of electrospun nanofiber membrane was analyzed. Finally, the correlation fractal dimension of the average pore width of electrospun nanofiber membrane has a quadratic function relation with the air flow resistance; The correlation fractal dimension of the average pore width obtained is consistent with the fractal dimension of porosity obtained by Ting Wang under the meaning of the relative error less than 10%is the same.

Elecrtospun nanofibers, average pore width, correlation fractal dimension, the fractal.

Article Details

How to Cite
yu, B. C.-, Ying, C., Yong, L., yi, S. L.-, & dong, C. R.-. (2020). Fractal Properties of Pore Distribution of Electrospun Nanofiber Membrane. Journal of Advances in Mathematics and Computer Science, 35(7), 96-105.
Original Research Article


Shi Qisong, YU Jianxiang, GU Kezhuang et al. Electrostatic spinning technology and its application [J]. Chemistry World. 2005;(05):313-316.

Tan Xiaohong, Wang Shanyuan. Technology principle, present situation and application prospect of electrospinning nanofibers [J]. High-tech Fibers and Applications. 2004;(02):28-32.

Nanotechnology - Nanofibers; Investigators at Korea Advanced Institute of Science and Technology (KAIST) Report Findings in Nanofibers (Design of Hollow Nanofibrous Structures Using Electrospinning: an Aspect of Chemical Sensor Applications) [J]. Nanotechnology Weekly; 2020.

Wang Dongsheng, Tang Hongxiao, Luan Zhaokun. Fractal theory and its research methods [J]. Chinese Journal of Environmental Science. 2001;(S1):10-16.

Jiang Zhiqiang. Several problems, current situation and Prospect analysis of fractal Theory application Research [J]. Journal of Jilin University (Information Science edition). 2004;(01):57-61.

Shao Hui, Shi Zhirong, Zhao Qingxian. Analysis of fractal Characteristics of accident correlation dimension [J]. Systems Engineering Theory and Practice. 2006;(04):141-144.

Rodkin MV, Shatakhtsyan AR. Study of ore deposits by the dynamic systems investigation methods: 1. Calculation of the correlation dimension [J]. Izvestiya, Physics of the Solid Earth. 2015;51(3).

Sebastian Zurek, Przemyslaw Guzik, Sebastian Pawlak, et al. On the relation between correlation dimension, approximate entropy and sample entropy parameters, and a fast algorithm for their calculation[J]. Physica A: Statistical Mechanics and its Applications. 2012;391(24).

Lee Chunwoo, Kramer Timothy A. Prediction of three-dimensional fractal dimensions using the two-dimensional properties of fractal aggregates. [J]. Advances in colloid and interface science. 2004;112(1-3).

Paul Gerald,Stanley H Eugene. Fractal dimension of 3-blocks in four-, five-, and six-dimensional percolation systems.[J]. Physical review. E, Statistical, Nonlinear, and Soft Matter Physics. 2003;67(2 Pt 2).

Juan Ruiz de Miras, Guillermo Martínez-Lledó, William Orwig, Jorge Sepulcre. A MATLAB tool for computing the spherical harmonic fractal dimension of the cerebral cortex[J]. Computer Physics Communications. 2020;254.

Francisca Ferrón-Carrillo, Juan Carlos Gómez-Cortés, Julio Regalado-Sánchez, et al. Algorithm implementation in MATLAB for root measurement[J]. Computers and Electronics in Agriculture. 2020;174.

Ting Wang#, Ying Chen#,*, Wenxia Dong, et al, Tiandi Pan, Fractal Characteristics of Porosity of Electrospun nanofiber membranes, Mathematical Problems in Engineering. 2020;2020(1):1-9. Available:

Wang Jiaona, Li Chan, Li Li, Li Congju. Studies on electrostatic spinning PES microspheres/fibers with low resistance composite air filtration membrane [J]. Chinese Polymer Journal,2014(11):1479-1485.