Flow in Thin Liquid Films

Lyklema, J.; Scholten, P. C.; Mysels, Karol J.

doi:10.1021/j100885a018

Cited by 92 publications

(39 citation statements)

References 3 publications

(4 reference statements)

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“…Schwartz et al [14] have shown the close relationship between equation (2), and those of Landau-Levich [15] and Frankel [16] for the case of a planar substrate and a soap film, respectively, withdrawn from a bath of liquid, noting the ability of all three to predict reasonably well the asymptotic film thickness for small Ca. See also the more rigorous derivation of the Bretherton expression (including higher order terms) by Park & Homsy [17].…”

Section: Introductionmentioning

confidence: 86%

A model for film-forming with Newtonian and shear-thinning fluids

Hewson

Kapur

Gaskell

2009

Journal of Non-Newtonian Fluid Mechanics

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The formation of a thin film by (i) the slow penetration of a gas bubble into a liquid filled tube, (ii) the withdrawal of a planar substrate from a liquid filled gap, is investigated theoretically for the cases of both Newtonian and shear thinning liquids; the latter conforming to either a power law or Ellis model. Formulated as a boundary value problem underpinned by lubrication theory, the analysis gives rise to a system of ordinary differential equations which are solved numerically subject to appropriate boundary conditions. For Newtonian liquids comparison of the predicted residual film thickness for a wide range of capillary number, Ca ∈ 10 −4 , 10 , is made with others obtained using existing expressions, including the classical one of Bretherton, in the region of parameter space over which they apply. In the case of (i), prediction of the behaviour of the residual fluid fraction and gap-to-film thickness ratio, for a Newtonian liquid and one that is shear-thinning and modelled via a power-law, is found to be in particularly good agreement with experimental data for Ca < 0.2. For (ii), both shear thinning models are utilized and contour plots of residual film thickness generated as a function of Ca and the defining parameters characteristic of each model.

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Section: Introductionmentioning

confidence: 86%

A model for film-forming with Newtonian and shear-thinning fluids

Hewson

Kapur

Gaskell

2009

Journal of Non-Newtonian Fluid Mechanics

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“…nm'/molecule (8,23). This value is in good agreement with the Figure 4A shows two spectra in the CH stretching region reported value of 0.57 nm'/molecule (24) for the SDS molerecorded for different films.…”

Section: The Ch Stretching Bands Of Sds In First Black Filmsmentioning

confidence: 99%

“…However, it seems likely that there is no specific orientation or rigidified structure of water even in this thin second black film, as has been speculated by Lyklema et (11. (8) who have characterized the SDS black films as "mobile" ones. A similarity between the bulk water and the water layers thicker than a few angstroms has been also pointed out by Clliford (37).…”

Section: Second Black Filmsmentioning

confidence: 99%

“…Hitherto, the experimental methods used for studying the black soap films are limited to radioactive-tracer (5,6), optical reflectance (7,8), light scattering (9), X-ray diffraction (10, 11) techniques, and so on. Modern spectroscopic techniques such as infrared or nuclear magnetic resonance spectroscopy are principally expected to provide valuable structural informations on these films.…”

Section: Introductionmentioning

confidence: 99%

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Fourier transform infrared study on black soap films

Umemura¹,

Matsumoto²,

Kawai³

et al. 1985

Can. J. Chem.

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This paper is dedicated to Professor Camille Sandorfy on the occa.siorz of his 65th birthdayJ u~z o UMEMURA, MUTSUO MATSUMOTO, TAKESHI KAWAI, and TOHRU TAKENAKA. Can. J. Chem. 63, 1713Chem. 63, (1985. Fourier transform infrared (FT-IR) spectra in the range 3800-2800 cm-' have been recorded of the first and second black films in air prepared from aqueous solutions of sodium dodecylsulfate (SDS) without and with the addition of sodium chloride, respectively. It is found that in both films the methylene chains of SDS, which are located outside the aqueous core of the sandwich structure, are in an oriented liquid crystalline state. In a first black film, the thickness of the aqueous core is determined to be 9.6 nm, by recording polarized infrared spectra with various angles of incidence to the film surface, and by analyzing them with the aid of thin layer optics. It is found that this value varies in the range 5 -10 nm from film to film.The extinction coefficients of the aqueous core are also examined. In the second black film, the thickness of the aqueous core is found to be about I nm. The OH stretching band of water in the second black film appears at appreciably higher wavenumbers (by 60 cm-') than those of the first black film, indicating a high ionic strength in the aqueous core. In both black films, there is no sign of molecular orientation or rigidified structure of water.J u~z o UMEMURA, MUTSUO MATSUMOTO, TAKESHI KAWAI et TOHRU TAKENAKA. Can. J. Chem. 63, 1713 (1985). On a enregistrt les spectres infrarouges par transformation de Fourier dans la region de 3800 h 2800 cm-I des premier et deuxikme films noirs dans I'air prCparCs a partir de solutions aqueuses de dodtcylsulfate de sodium (DSS) respectivement avec et sans chlorure de sodium. On a trouvC que dans chacun de ces films, les chaines mtthylknes du DSS, qui sont situtes ti I'exttrieur du noyeau aqueux de la structure en sandwiche, sont dans un Ctat cristallin liquide orientC. En enregistrant les spectres infrarouges polarisCs sous divers angles d'incidence par rapport a la surface du film et en les analysant i i l'aide de principes d'optique pour les couches minces, on a CvaluC que I'Cpaisseur du noyeau aqueux du premier film noir est tgale ti 9,6 nm. On a trouvt que cette valeur varie de 5 a I0 nm suivant le film. On a aussi examink les coefficients d'extinction des noyeaux aqueux. Dans le deuxikme film noir, on a trouvC que I'tpaisseur du noyeau aqueux est tgale a I nm. Par rapport au premier film noir, la bande de vibration OH de I'eau du deuxikme film noir se trouve a des nombres d'onde beaucoup plus ClevCs (environ 60 cm-I); ce rtsultat indiquerait la prksence d'une force ionique Clevte dans le noyeau aqueux. Dans les deux films noirs, il n'existe aucun signe d'orientation molCculaire ou de structure rigidifite de I'eau.[Traduit par le journal]

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“…( 1 )), the principles of their drainage still are not fully understood. Drainage has been studied extensively in the case of horizontal films (2-4); however, investigations of vertical films focused on Frankel's law for film formation ( 1,(5)(6)(7)(8), black films (9-21), bursting (22)(23)(24)(25), film contact angles (26)(27)(28)(29)(30)(31), and surface waves (32)(33)(34)(35)(36)(37)(38)(39)(40)(41)(42), the last subject being treated mainly theoretically. Only a few papers dealt with actual flow in free films (10,(43)(44)(45) and Plateau borders (46), but the physics of the main drainage mechanism for mobile films, viz., marginal regeneration (1, 7), remained unsolved.…”

Section: Introductionmentioning

confidence: 99%

Marginal regeneration of a mobile vertical free liquid film

Hudales¹,

Stein²

1990

Journal of Colloid and Interface Science

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Marginal regeneration is the main thinning mechanism of a mobile vertical free liquid film, whereby thicker film regions, including the surfaces, are sucked in by the Plateau border, in exchange for thinner regions in an immediately adjacent section. Its hydrodynamic theory is confirmed by calculations performed on profiles of films, drawn from a 0.02 M CTAB solution, where the net flow out of the film is described as a result of a surface flow combined with a bulk flow caused by a pressure gradient.

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Flow in Thin Liquid Films

Cited by 92 publications

References 3 publications

A model for film-forming with Newtonian and shear-thinning fluids

A model for film-forming with Newtonian and shear-thinning fluids

Fourier transform infrared study on black soap films

Marginal regeneration of a mobile vertical free liquid film

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