Underdamped capillary wave caused by solutal Marangoni convection in immiscible liquids
- 287 Downloads
Using a Cahn–Hilliard–Navier–Stokes model with a capillary tensor to account for solutal Marangoni force, we observe an interfacial wave at the interface of two immiscible liquids. A Fourier analysis shows that the interfacial wave is induced by oscillatory modes of solutal Marangoni convection. A critical Marangoni number is defined above which the oscillatory modes of solutal Marangoni convection are able to occur. This material property is a function of the wave number for different Cahn numbers and is determined from numerical simulations.
- 1.Bush JWM (2004) Surface tension module. MIT OpenCourseWare, CambridgeGoogle Scholar
- 3.Linde H, Velarde MG, Waldhelm W, Wierschem A (2001) Interfacial wave motions due to Marangoni instability: III. Solitary waves and (periodic) wave trains and their collisions and reflections leading to dynamic network (cellular) patterns in large containers. J Colloid Interface Sci 236:214–224CrossRefGoogle Scholar
- 11.Goldstein H, Poole C, Safko J (2001) Classical mechanics. Addison Wesley, New YorkGoogle Scholar
- 20.Griebel M, Dornseifer T, Neunhoeffer T (1997) Numerical simulation in fluid dynamics: a practical introduction. Society for Industrial and Applied Mathematics, PhiladelphiaGoogle Scholar
- 22.Gibbs JW (1957) The collected works of J. Willard Gibbs. Yale University Press, New YorkGoogle Scholar