@inproceedings{097830957ded4d5cb4fa1392ca878800,

title = "ON THE INSTABILITY OF HEATED FILM FLOW WITH VARIABLE SURFACE TENSION.",

abstract = "The effect of a temperature-dependent surface tension upon the instability of film flow down a heated inclined plane is investigated for long-wavelength disturbances. For 2-D waves, a quadratic equation for the critical Reynolds number results. One root of this equation corresponds to a hydrodynamic instability as modified by thermocapillary action, whereas the other root corresponds to a thermocapillary instability as modified by shear. As the Marangoni number increases, the roots approach each other and eventually become equal. Thereafter, the flow is unstable for all Reynolds numbers. 2-D waves are found to be more unstable than longitudinal rolls. The numerical results are presented in a form appropriate to an experiment in which the Reynolds number varies by changing the film thickness or the angle of inclination.",

author = "Kelly, {R. E.} and Davis, {S. H.} and Goussis, {D. A.}",

year = "1986",

month = dec,

day = "1",

language = "English (US)",

isbn = "0891165924",

series = "Heat Transfer, Proceedings of the International Heat Transfer Conference",

publisher = "Hemisphere Publ Corp",

pages = "1937--1942",

editor = "Tien, {Chang L.} and Carey, {Van P.} and Ferrell, {James K.}",

booktitle = "Heat Transfer, Proceedings of the International Heat Transfer Conference",

}