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Electrospinning is a common method for preparing nanofiber membranes, which have a large specific surface area and very high porosity [1-10]. Its structure, size and morphology can be controlled, resulting in the applications in many fields, e. g., nonwoven fabrics [11], reinforcing fibers [12], drug delivery systems [13], tissue engineering [14], filter materials [15], electrode materials [16], and so on. Conventional electrospinning used a single-needle spinning, which limited its wide range of practical applications due to its low production. Recently, many improvements to the electrospinning technology have been made to enhance its output. Ding et al. [17] presented a multi-needle electrospinning system. Theron et al. [18] used a thin-walled circular foam tube to achieve multi-jet electrospinning. He et al. [19] invented the bubble-electrospinning (BE) technology which used an air pump to generate bubbles on the solution surface to generate jets, and the BE has been applied as an efficient free surface electrospinning for mass fabrication of nanofibers [20-22]. Shao et al. [20] proposed a modified bubble-electrospinning (MBE) using a conical air nozzle combined with a copper solution reservoir to improve the production of high-quality polyacrylonitrile (PAN) nanofibers. Fang et al. [21] applied the MBE apparatus to obtain high-throughput SF nanofibers. Yu et al. [22] combined the MBE set-up with a high speed rotating copper wire drum as a collector to produce high-throughput aligned nanofibers. In this paper, PAN nanofibers have been prepared in large quantities using the MBE device presented in our previous work [20-22]. The schematic presentation of the MBE device is illustrated in fig. 1. In the MBE process, the distribution of electric field plays an important role [20]. The theoretical analyses and experimental researches were carried out to

Numerical approach to high-throughput of nanofibers by a modified bubble-electrospinning