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

R. E. Kelly; S. H. Davis; D. A. Goussis

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

Engineering Sciences and Applied Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

29 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 language	English (US)
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
Volume	4

ASJC Scopus subject areas

General Engineering

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.

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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.",

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ON THE INSTABILITY OF HEATED FILM FLOW WITH VARIABLE SURFACE TENSION. / Kelly, R. E.; Davis, S. H.; Goussis, D. A.
Heat Transfer, Proceedings of the International Heat Transfer Conference. ed. / Chang L. Tien; Van P. Carey; James K. Ferrell. Hemisphere Publ Corp, 1986. p. 1937-1942 (Heat Transfer, Proceedings of the International Heat Transfer Conference; Vol. 4).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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T1 - ON THE INSTABILITY OF HEATED FILM FLOW WITH VARIABLE SURFACE TENSION.

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AU - Davis, S. H.

AU - Goussis, D. A.

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N2 - 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.

AB - 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.

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T3 - Heat Transfer, Proceedings of the International Heat Transfer Conference

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EP - 1942

BT - Heat Transfer, Proceedings of the International Heat Transfer Conference

A2 - Tien, Chang L.

A2 - Carey, Van P.

A2 - Ferrell, James K.

PB - Hemisphere Publ Corp

ER -

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

Abstract

Publication series

ASJC Scopus subject areas

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