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

11 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

Access to Document

10.1016/0029-5493(93)90103-G

Cite this

@article{e640235a4a094096a124cc012008e924,

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.",

year = "1993",

month = jun,

day = "2",

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

language = "English (US)",

volume = "141",

pages = "225--236",

journal = "Nuclear Engineering and Design",

issn = "0029-5493",

publisher = "Elsevier BV",

number = "1-2",

}

TY - JOUR

T1 - Two- and three-dimensional instabilities and rupture of thin liquid films falling on heated inclined plate

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.

UR - http://www.scopus.com/inward/record.url?scp=5544281476&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=5544281476&partnerID=8YFLogxK

U2 - 10.1016/0029-5493(93)90103-G

DO - 10.1016/0029-5493(93)90103-G

M3 - Article

AN - SCOPUS:5544281476

VL - 141

SP - 225

EP - 236

JO - Nuclear Engineering and Design

JF - Nuclear Engineering and Design

SN - 0029-5493

IS - 1-2

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this