ON THE INSTABILITY OF HEATED FILM FLOW WITH VARIABLE SURFACE TENSION.

R. E. Kelly*, S. H. Davis, D. A. Goussis

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

25 Scopus citations

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.

Original languageEnglish (US)
Title of host publicationHeat Transfer, Proceedings of the International Heat Transfer Conference
EditorsChang L. Tien, Van P. Carey, James K. Ferrell
PublisherHemisphere Publ Corp
Pages1937-1942
Number of pages6
ISBN (Print)0891165924
StatePublished - Dec 1 1986

Publication series

NameHeat Transfer, Proceedings of the International Heat Transfer Conference
Volume4

ASJC Scopus subject areas

  • Engineering(all)

Fingerprint Dive into the research topics of 'ON THE INSTABILITY OF HEATED FILM FLOW WITH VARIABLE SURFACE TENSION.'. Together they form a unique fingerprint.

  • Cite this

    Kelly, R. E., Davis, S. H., & Goussis, D. A. (1986). ON THE INSTABILITY OF HEATED FILM FLOW WITH VARIABLE SURFACE TENSION. In C. L. Tien, V. P. Carey, & J. K. Ferrell (Eds.), Heat Transfer, Proceedings of the International Heat Transfer Conference (pp. 1937-1942). (Heat Transfer, Proceedings of the International Heat Transfer Conference; Vol. 4). Hemisphere Publ Corp.