### 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 language | English (US) |
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Title of host publication | Heat Transfer, Proceedings of the International Heat Transfer Conference |

Editors | Chang L. Tien, Van P. Carey, James K. Ferrell |

Publisher | Hemisphere Publ Corp |

Pages | 1937-1942 |

Number of pages | 6 |

ISBN (Print) | 0891165924 |

State | Published - Dec 1 1986 |

### Publication series

Name | Heat Transfer, Proceedings of the International Heat Transfer Conference |
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Volume | 4 |

### 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

*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.