Three-dimensional dynamics of thin liquid films on vertical cylinders with Marangoni effect
Wong, Teck Neng
Date of Issue2017
School of Mechanical and Aerospace Engineering
The effects of thermocapillary force on the three dimensional dynamics of thin liquid films flowing down a uniformly heated vertical cylinder are investigated using a thin film model. Linear and nonlinear analyses predict the existence of a non-axisymmetric mode due to the Marangoni effect. Symmetry-breaking of axisymmetric steady traveling waves is observed when the Marangoni number exceeds a critical value. Linear stability analysis demonstrates that the steady traveling wave can be unstable to azimuthal disturbances due to the Marangoni effect, leading to the formation of non-axisymmetric patterns.
Liquid thin films
Physics of Fluids
© 2017 AIP Publishing. This paper was published in Physics of Fluids and is made available as an electronic reprint (preprint) with permission of AIP Publishing. The published version is available at: [http://dx.doi.org/10.1063/1.4974076]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.