Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Marangoni Instability of a Thin Liquid Film Flow With Viscous Dissipation
Submission Author:
Eduardo Villela Machado dos Reis , RJ , Brazil
Co-Authors:
Leonardo Santos de Brito Alves, Eduardo Villela Machado dos Reis
Presenter: Eduardo Villela Machado dos Reis
doi://10.26678/ABCM.COBEM2017.COB17-1474
Abstract
This paper analyses the linear stability of a thin liquid film flowing over a horizontal plate. This plate is considered impermeable and adiabatic. The upper surface of the film is considered to be a free boundary with a surface tension. The thermoconvective instability is triggered by this surface tension. Viscous dissipation within the fluid induces temperature gradients, generating variation in the surface tension, and then initiating the instability phenomena. The linear stability analysis is performed using the normal modes method. A system of four coupled differential equations is generated, defining an eigenvalue problem. The convective instability of longitudinal rolls is analysed.
Keywords
Linear Stability Analysis, surface tension, Marangoni Effect
