Analysis of Pore Structure in Electrospun Fiber Webs Using a Multi-layer Stochastic Model

Abstract

Nano web has various types of pore and pore size according to manufacturing condition. So, it is necessary to investigate the structure and mechanism of the web using mathematical method. First of all, nano web images were taken form SEM in order to make algorithm. Then we used a multi-layer stochastic model that includes the correlation between random arbitrary measurement lengths. Correlation functions of arbitrary measurement lengths are derived directly from the variance-length curve given without requiring any further information. Use of the correlation functions has more advantages over the traditional variance-length curves. First, they represent a yarn diameter (or mass) profile both in scale (resolution) and frequency (periodicity) rather than in scale only which is in the case for variance-length curves. Second, periodicities hidden in seemingly irregular signals are easily detected and revealed by the correlation functions. It is also beneficial that the functions are readily available from a variance-length curve without further efforts for measurement and analysis.