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首页> 外文期刊>Applied Mathematical Modelling >Mathematical modeling of a whipping instability of an electrically charged liquid jet
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Mathematical modeling of a whipping instability of an electrically charged liquid jet

机译：带电液体射流鞭打不稳定性的数学模型

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摘要

Recent experiments have demonstrated that a fundamental mechanism of the electrospin-ning process is the rapid whipping of an electrically charged liquid jet. This article focuses on the mathematical modeling of such a whipping, also called a bending, instability of the electrically charged liquid jet, which is created from a polymer solution by electro-spinning. The ideal rectilinear segment of the electrically charged jet, the so-called "vis-coelastic dumbbell", is a key attribute of the mathematical model presented herein. We have formulated governing equations which can be used to describe the physical properties and dynamics of this segment in a three-dimensional Cartesian coordinate system. We developed a multi-threaded computer application that allows us to simulate the elec-trospinning process. This application is the algorithmization of a numerical discretization. Using three-dimensional computer graphics we are able to visualize the results of the computer simulations of paths of the jet as well as the depositions of electrospun nanofiber. These theoretical results are in agreement with previously published laboratory experiments.
机译：最近的实验表明，静电纺丝过程的基本机理是带电液体射流的快速搅动。本文关注于这种搅打的数学模型，也称为带电液体射流的弯曲，不稳定性，它是由聚合物溶液通过电纺丝产生的。带电射流的理想直线段，即所谓的“粘弹性哑铃”，是本文介绍的数学模型的关键属性。我们制定了控制方程，这些方程可用于描述三维笛卡尔坐标系中该线段的物理特性和动力学。我们开发了多线程计算机应用程序，使我们可以模拟电纺过程。此应用程序是数字离散化的算法。使用三维计算机图形，我们能够可视化喷射路径以及电纺纳米纤维沉积物的计算机模拟结果。这些理论结果与先前发表的实验室实验一致。

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  • 来源
    《Applied Mathematical Modelling》 |2016年第22期|9565-9583|共19页
  • 作者

    Milan Simko; David Lukas;

  • 作者单位

    Chart Ferox, a.s., Department of Strength Calculations, Ustecka 30, Decin 405 30, Czech Republic,Technical University of Liberec, Faculty of Textile Engineering, Studentska 2, Liberec 461 17, Czech Republic;

    Technical University of Liberec, Faculty of Textile Engineering, Department of Nonwovens and Nanofibrous Materials, Studentska 2, Liberec 46117, Czech Republic;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Electrospinning; Mathematical modeling; Nanofibers; Numerical model;

    机译：电纺;数学建模;纳米纤维;数值模型;

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