Slow two-phase flow through a sinusoidal channel

Dassori, Carlos G.; Deiber, Julio A.; Cassano, Alberto E.

doi:10.1016/0301-9322(84)90016-8

Cited by 15 publications

(10 citation statements)

References 9 publications

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“…Some studies have examined thin film flow over rough surfaces at low Reynolds numbers, for example those by Stillwagon and Larson (1990), Kim et al (1991), , , Kalliadasis and Homsy (2001), and wavy substrates, for example those by Wang (1981), Dassori et al (1984), Pozrikidis (1988Pozrikidis ( , 2003 and Wierschem and Aksel (2003). Work by Bontozoglou and Papapolymerou (1997), Negny et al (1998), Trifonov (1998), Malamataris and Bontozoglou (1999) and Negny et al (2001a-c) dealt with higher Reynolds numbers, but again only a singly sinusoidal topography was considered.…”

Section: Introductionmentioning

confidence: 98%

Thin film flow over structured packings at moderate Reynolds numbers

Valluri

Matar

Hewitt

et al. 2005

Chemical Engineering Science

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Section: Introductionmentioning

confidence: 98%

Thin film flow over structured packings at moderate Reynolds numbers

Valluri

Matar

Hewitt

et al. 2005

Chemical Engineering Science

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“…23 Some work has been done to examine multilayer channel flows with periodic surface topography. Dassori et al 24 performed a perturbation analysis on three-layer ͑two-phase͒ flow through a channel with symmetric, periodic sinusoidal walls. They found that the liquid interfaces exhibited corrugations out of phase with the structure of the walls.…”

Section: Introductionmentioning

confidence: 99%

Steady two-layer flow in a topographically patterned channel

Lenz

Kumar

2007

Physics of Fluids

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The steady behavior of the interface between two immiscible liquid layers flowing in a channel where one wall is flat and the other exhibits isolated or periodic step-changes in surface topography is considered in this work. A one-dimensional model based on the lubrication approximation is used to describe the interfacial shape and explore its behavior over a wide range of problem parameters. The density and thickness ratios, as well as the periodicity of the topography, strongly influence interfacial shape, whereas the viscosity ratio has a relatively minor effect. In some cases, interfacial features that are present in the flow of single liquid layers over surfaces with topography can be completely suppressed by large pressure gradients that arise due to the bounded geometry. A scaling analysis is applied to explain variations in the capillary length scale. The results presented in this work are potentially relevant to a range of applications including microfluidics, oil recovery, lubricated piping, and lithographic printing.

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“…Despite numerous applications, the fundamental problem seems to have motivated relatively little theoretical and experimental work. Papers referring to film flow over a wall that is not flat include Wang (1981), who performed an asymptotic analysis for a sinusoidal wall with small-amplitude variations, and Dassori, Deiber & Cassano (1984) and Kang & Chen (1995), who extended the analysis to the separated flow of two fluids. Also, Pozrikidis (1988) used a boundary-integral method and numerically computed results for wall variations of arbitrary amplitude and shape, and Shetty & Cerro (1993) proved by asymptotic analysis that, in the limit of negligible inertia and capillary effects, the flow of a viscous liquid down a wavy surface obeys a local Nusselt solution.…”

Section: Introductionmentioning

confidence: 99%

Experiments on laminar film flow along a periodic wall

2002

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Experimental results are reported on the structure of gravity-driven film flow along an inclined periodic wall with rectangular corrugations. A fluorescence imaging method is used to capture the evolution of film height in space and time with accuracy of a few microns. The steady flow is found to exhibit a statically deformed free surface, as predicted by previous asymptotic and numerical studies. Though usually unstable, its characteristics determine much of the subsequent non-stationary dynamics. Travelling disturbances are observed to evolve into solitary multi-peaked humps, and pronounced differences from the respective phenomena along a flat wall are noted. Finally, a remarkable stabilization of the flow at high Reynolds numbers is documented, which proceeds through the development of a three-dimensional flow structure and leads to a temporary decrease in film thickness and recession of solitary waves.

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Slow two-phase flow through a sinusoidal channel

Cited by 15 publications

References 9 publications

Thin film flow over structured packings at moderate Reynolds numbers

Thin film flow over structured packings at moderate Reynolds numbers

Steady two-layer flow in a topographically patterned channel

Experiments on laminar film flow along a periodic wall

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