DOI: 10.1063/1.869546. Dynamics of spontaneous spreading with evaporation on a deep fluid layer

Dynamics of spontaneous spreading with evaporation on a deep fluid layer

10.1063/1.869546

Crossref journal-article

AIP Publishing

Physics of Fluids (317)

Abstract

The spontaneous spreading of a thin volatile film along the surface of a deep fluid layer of higher surface tension provides a rapid and efficient transport mechanism for many technological applications. This spreading process is used, for example, as the carrier mechanism in the casting of biological and organic Langmuir–Blodgett films. We have investigated the dynamics of spontaneously spreading volatile films of different vapor pressures and spreading coefficients advancing over the surface of a deep water support. Laser shadowgraphy was used to visualize the entire surface of the film from the droplet source to the leading edge. This noninvasive technique, which is highly sensitive to the film surface curvature, clearly displays the location of several moving fronts. In this work we focus mainly on the details of the leading edge. Previous studies of the spreading dynamics of nonvolatile, immiscible thin films on a deep liquid layer have shown that the leading edge advances in time as t3/4 as predicted by laminar boundary layer theory. We have found that the leading edge of volatile, immiscible spreading films also advances as a power law in time, tα, where α∼1/2. Differences in the liquid vapor pressure or the spreading coefficient seem only to affect the speed of advance but not the value of the spreading exponent, which suggests the presence of a universal scaling law. Sideview laser shadowgraphs depicting the subsurface motion in the water reveal the presence of a single stretched convective roll right beneath the leading edge of the spreading film. This fluid circulation, likely caused by evaporation and subsequent surface cooling of the rapidly spreading film, resembles a propagating Rayleigh–Bénard convective roll. We propose that this sublayer rotational flow provides the additional dissipation responsible for the reduced spreading exponent.

Bibliography

Dussaud, A. D., & Troian, S. M. (1998). Dynamics of spontaneous spreading with evaporation on a deep fluid layer. Physics of Fluids, 10(1), 23â38.

Authors 2

Anne D. Dussaud (first)
Sandra M. Troian (additional)

References 38 Referenced 84

{'key': '2024020701330194400_r1'}
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10.1002/cjce.5450530402 / Can. J. Chem. Eng. / Unidirectional spreading of one liquid on the surface of another (1975)
10.1017/S0022112078000312 / J. Fluid Mech. / The hydrodynamics of the spreading of one liquid on the surface of another (1978)
10.1017/S0022112080001516 / J. Fluid Mech. / The spreading of thin liquid films on a water-air interface (1980)
{'key': '2024020701330194400_r6'}
10.1017/S0022112087002969 / J. Fluid Mech. / The spreading of oil on water in the surface tension regime (1987)
10.1017/S0022112092003331 / J. Fluid Mech. / The leading edge of an oil slick, soap film, or bubble stagnant cap in stokes flow (1992)
10.1017/S0022112095001741 / J. Fluid Mech. / The spreading of insoluble surfactant at the free surface of a deep fluid layer (1995)
{'key': '2024020701330194400_r10'}
10.1021/la00032a036 / Langmuir / Influence of the spreading solvent on the properties of monolayers at the air/water interface (1993)
{'key': '2024020701330194400_r12'}
{'key': '2024020701330194400_r13'}
10.1016/0021-9797(85)90392-3 / J. Colloid Interface Sci. / Spreading of aqueous surfactant solutions on organic liquids (1985)
{'key': '2024020701330194400_r15'}
{'key': '2024020701330194400_r16'}
{'key': '2024020701330194400_r17'}
10.1016/0021-9797(67)90272-X / J. Colloid Interface Sci. / Spreading pressure and coefficients, interfacial tensions, and adhesion energies of the lower alkanes, alkenes, and alkyl benzenes on water (1967)
{'key': '2024020701330194400_r19'}
{'key': '2024020701330194400_r20'}
10.1038/217536a0 / Nature (London) / Existence of a surface tension discontinuity at a liquid free surface (1968)
10.1126/science.170.3953.61 / Science / Surface films compacted by moving water: demarcation lines reveal film edges (1970)
10.1126/science.172.3986.973 / Science / The thoreau-reynolds ridge, a lost and found phenomena (1971)
10.1017/S0022112082000469 / J. Fluid Mech. / Flow beneath a stagnant film on water: the reynolds ridge (1982)
10.1115/1.2817806 / J. Fluids Eng. / Flow measurements near a reynolds ridge (1996)
{'key': '2024020701330194400_r26'}
{'key': '2024020701330194400_r27', 'first-page': '398', 'volume': '122', 'year': '1926', 'journal-title': 'Z. Phys. Chem. (Munich)'} / Z. Phys. Chem. (Munich) (1926)
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{'key': '2024020701330194400_r29'}
10.1016/0021-9797(75)90131-9 / J. Colloid Interface Sci. / Interferometric and hydrodynamic flow profiles produced in water by a spreading monolayer (1975)
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10.1007/BF00195095 / Exp. Fluids / Flow tagging velocimetry in incompressible flow using photo-activated nonintrusive tracking of molecular motion (1995)
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10.1017/S0022112058000616 / J. Fluid Mech. / On convection cells induced by surface tension (1958)
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{'key': '2024020701330194400_r37', 'first-page': '177', 'article-title': 'Bénard convection', 'volume': '26', 'year': '1974', 'journal-title': 'Adv. Chem. Phys.'} / Adv. Chem. Phys. / Bénard convection (1974)
10.1115/1.3564569 / J. Appl. Mech. / Thermal instability in fluid layers in the presence of horizontal and vertical temperature gradients (1969)

Dates

Type	When
Created	23 years ago (July 26, 2002, 8:08 a.m.)
Deposited	1 year, 6 months ago (Feb. 6, 2024, 10:34 p.m.)
Indexed	4 months, 2 weeks ago (April 10, 2025, 9:28 a.m.)
Issued	27 years, 7 months ago (Jan. 1, 1998)
Published	27 years, 7 months ago (Jan. 1, 1998)
Published Print	27 years, 7 months ago (Jan. 1, 1998)

Funders 0

None

BibTeX

@article{Dussaud_1998, title={Dynamics of spontaneous spreading with evaporation on a deep fluid layer}, volume={10}, ISSN={1089-7666}, url={http://dx.doi.org/10.1063/1.869546}, DOI={10.1063/1.869546}, number={1}, journal={Physics of Fluids}, publisher={AIP Publishing}, author={Dussaud, Anne D. and Troian, Sandra M.}, year={1998}, month=jan, pages={23–38} }

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