Three-dimensional dynamics of thin liquid films on vertical cylinders with Marangoni effect

• Main Authors: Ding, Zijing, Wong, Teck Neng
• Other Authors: School of Mechanical and Aerospace Engineering
• Format: Article
• Language: English
• Published: 2017
• Subjects: Marangoni convection; Liquid thin films
• Online Access: https://hdl.handle.net/10356/84962; http://hdl.handle.net/10220/42081
• Institution: Nanyang Technological University

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.