Abstract
Near-field electrospinning (NFES) had better controllability than conventional electrospinning. However, due to the lack of guidance of theoretical model, precise deposition of micro/nano fibers could only accomplished by experience. To analyze the behavior of charged jet in NFES using mathematical model, the momentum balance equation was simplified and a new expression between jet cross-sectional radius and axial position was derived. Using this new expression and mass conservation equation, expressions for jet cross-sectional radius and velocity were derived in terms of axial position and initial jet acceleration in the form of exponential functions. Based on Slender-body theory and Giesekus model, a quadratic equation for initial jet acceleration was acquired. With the proposed model, it was able to accurately predict the diameter and velocity of polymer fibers in NFES, and mathematical analysis rather than experimental methods could be applied to study the effects of the process parameters in NFES. Moreover, the movement velocity of the collector stage can be regulated by mathematical model rather than experience. Therefore, the model proposed in this paper had important guiding significance to precise deposition of polymer fibers.
Highlights
INTRODUCTIONDue to the lack of stretching and splitting of the charged jet in the second stage of electrospinning, fibers of nanoscale can not be acquired
Electrospinning is a convenient, cheap and straightforward method to produce fibers from polymer solutions and melts
To analyze the behavior of charged jet in Near-field electrospinning (NFES) using mathematical model, the momentum balance equation was simplified and a new expression between jet cross-sectional radius and axial position was derived. Using this new expression and mass conservation equation, expressions for jet cross-sectional radius and velocity were derived in terms of axial position and initial jet acceleration in the form of exponential functions
Summary
Due to the lack of stretching and splitting of the charged jet in the second stage of electrospinning, fibers of nanoscale can not be acquired. To collect precisely deposited polymer fibers, the collector stage should move at an appropriate velocity. Due to the lack of guidance of theoretical model, the movement velocity of the collector stage can only be adjusted by experience. A mathematical model has been proposed which has important guiding significance to precise deposition of polymer fibers in NFES. The movement velocity of the collector stage will be able to be regulated according to mathematical model rather than experience. With the proposed model, it will be more accurate and convenient to deposit precisely polymer fibers in NFES.
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