Stability of an unsupported multi-layer surfactant laden liquid curtain under gravity

详细信息    查看全文

• 作者：D. Henry ; J. Uddin ; J. O. Marston ; S. T. Thoroddsen
• 刊名：Journal of Engineering Mathematics
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：99
• 期：1
• 页码：119-136
• 全文大小：711 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mechanics
  Applications of Mathematics
  Analysis
  Mathematical Modeling and IndustrialMathematics
  Numeric Computing
  
• 出版者：Springer Netherlands
• ISSN：1573-2703
• 卷排序：99

文摘

The industrial process of curtain coating has long been an important method in coating applications, by which a thin liquid curtain is formed to impinge upon a moving substrate, due to its highly lucrative advantage of being able to coat multiple layers simultaneously. We investigate the linear stability of an unsupported two-layer liquid curtain, which has insoluble surfactants in both liquids, which are widely used in industry to increase the stability of the curtain. We formulate the governing equations, simplified by making a thin film approximation, from which we obtain equations describing the steady-state profiles. We then examine the response of the curtain to small perturbations about this steady state to identify conditions under which the curtain is unstable, finding the addition of surfactants stabilizes the curtain. Our results are then compared to experimental data, showing a favourable trend and thereby extending the works of Brown (J Fluid Mech 10:297–305, 1960) and Dyson et al. (J Eng Math 64:237–250, 2009).KeywordsCurtain coatingMulti-layerStabilitySurfactants