Two- and three-dimensional instabilities and rupture of thin liquid films falling on heated inclined plate

S. W. Joo; S. H. Davis; S. G. Bankoff

doi:10.1016/0029-5493(93)90103-G

Two- and three-dimensional instabilities and rupture of thin liquid films falling on heated inclined plate

S. W. Joo^*, S. H. Davis, S. G. Bankoff

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Long-wave instabilities in thin viscous films draining down heated inclined planes are studied. Linear stability analysis and nonlinear computations are performed via a long-wave evolution equation, which describes the effects of mass loss, wave propagation, mean flow, hydrostatic pressure, thermocapillarity, vapor recoil, and mean surface tension. Mean flow, thermocapillarity, and vapor recoil destabilize the flow, and give, respectively, surface-wave, thermocapillary, and evaporative instabilities. Nonlinear flow developments, examined by numerically integrating the evolution equation, show interesting interactions of the instabilities, including generation of longitudinal patterns.

Original language	English (US)
Pages (from-to)	225-236
Number of pages	12
Journal	Nuclear Engineering and Design
Volume	141
Issue number	1-2
DOIs	https://doi.org/10.1016/0029-5493(93)90103-G
State	Published - Jun 2 1993

ASJC Scopus subject areas

Nuclear and High Energy Physics
Nuclear Energy and Engineering
Materials Science(all)
Safety, Risk, Reliability and Quality
Waste Management and Disposal
Mechanical Engineering

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10.1016/0029-5493(93)90103-G

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title = "Two- and three-dimensional instabilities and rupture of thin liquid films falling on heated inclined plate",

abstract = "Long-wave instabilities in thin viscous films draining down heated inclined planes are studied. Linear stability analysis and nonlinear computations are performed via a long-wave evolution equation, which describes the effects of mass loss, wave propagation, mean flow, hydrostatic pressure, thermocapillarity, vapor recoil, and mean surface tension. Mean flow, thermocapillarity, and vapor recoil destabilize the flow, and give, respectively, surface-wave, thermocapillary, and evaporative instabilities. Nonlinear flow developments, examined by numerically integrating the evolution equation, show interesting interactions of the instabilities, including generation of longitudinal patterns.",

author = "Joo, {S. W.} and Davis, {S. H.} and Bankoff, {S. G.}",

note = "Funding Information: This work was supportebdy U.S. Departmenotf Energy,D ivisiono f Basic EnergyS ciencest,h rough Grant no. DE FG02-86ER13641.",

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doi = "10.1016/0029-5493(93)90103-G",

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AU - Joo, S. W.

AU - Davis, S. H.

AU - Bankoff, S. G.

N1 - Funding Information: This work was supportebdy U.S. Departmenotf Energy,D ivisiono f Basic EnergyS ciencest,h rough Grant no. DE FG02-86ER13641.

PY - 1993/6/2

Y1 - 1993/6/2

N2 - Long-wave instabilities in thin viscous films draining down heated inclined planes are studied. Linear stability analysis and nonlinear computations are performed via a long-wave evolution equation, which describes the effects of mass loss, wave propagation, mean flow, hydrostatic pressure, thermocapillarity, vapor recoil, and mean surface tension. Mean flow, thermocapillarity, and vapor recoil destabilize the flow, and give, respectively, surface-wave, thermocapillary, and evaporative instabilities. Nonlinear flow developments, examined by numerically integrating the evolution equation, show interesting interactions of the instabilities, including generation of longitudinal patterns.

AB - Long-wave instabilities in thin viscous films draining down heated inclined planes are studied. Linear stability analysis and nonlinear computations are performed via a long-wave evolution equation, which describes the effects of mass loss, wave propagation, mean flow, hydrostatic pressure, thermocapillarity, vapor recoil, and mean surface tension. Mean flow, thermocapillarity, and vapor recoil destabilize the flow, and give, respectively, surface-wave, thermocapillary, and evaporative instabilities. Nonlinear flow developments, examined by numerically integrating the evolution equation, show interesting interactions of the instabilities, including generation of longitudinal patterns.

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Two- and three-dimensional instabilities and rupture of thin liquid films falling on heated inclined plate

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