Scaling properties of coating flows in rectangular channels

A. De Lózar; A. L. Hazel; A. Juel

doi:10.1103/PhysRevLett.99.234501

Scaling properties of coating flows in rectangular channels

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Abstract

We present an experimental study of the aspect-ratio dependence of two-phase displacement flows in channels of rectangular cross section. Above a buoyancy-dependent threshold Ca^t, we find that the bulk features of the flow depend only on a modified capillary number Ca^=[1+0.12(α-1)+0.018(α- 1)2]Ca, where Ca is the unmodified capillary number and α is the aspect ratio. This novel scaling has tremendous practical significance because it implies that the bulk features of the flows in any rectangular channel can be inferred from those in a square channel for Ca^>Ca^t. © 2007 The American Physical Society.

Original language	English
Article number	234501
Journal	Physical Review Letters
Volume	99
Issue number	23
DOIs	https://doi.org/10.1103/PhysRevLett.99.234501
Publication status	Published - 3 Dec 2007

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title = "Scaling properties of coating flows in rectangular channels",

abstract = "We present an experimental study of the aspect-ratio dependence of two-phase displacement flows in channels of rectangular cross section. Above a buoyancy-dependent threshold Ca^t, we find that the bulk features of the flow depend only on a modified capillary number Ca^=[1+0.12(α-1)+0.018(α- 1)2]Ca, where Ca is the unmodified capillary number and α is the aspect ratio. This novel scaling has tremendous practical significance because it implies that the bulk features of the flows in any rectangular channel can be inferred from those in a square channel for Ca^>Ca^t. {\textcopyright} 2007 The American Physical Society.",

author = "{De L{\'o}zar}, A. and Hazel, {A. L.} and A. Juel",

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T1 - Scaling properties of coating flows in rectangular channels

AU - De Lózar, A.

AU - Hazel, A. L.

AU - Juel, A.

PY - 2007/12/3

Y1 - 2007/12/3

N2 - We present an experimental study of the aspect-ratio dependence of two-phase displacement flows in channels of rectangular cross section. Above a buoyancy-dependent threshold Ca^t, we find that the bulk features of the flow depend only on a modified capillary number Ca^=[1+0.12(α-1)+0.018(α- 1)2]Ca, where Ca is the unmodified capillary number and α is the aspect ratio. This novel scaling has tremendous practical significance because it implies that the bulk features of the flows in any rectangular channel can be inferred from those in a square channel for Ca^>Ca^t. © 2007 The American Physical Society.

AB - We present an experimental study of the aspect-ratio dependence of two-phase displacement flows in channels of rectangular cross section. Above a buoyancy-dependent threshold Ca^t, we find that the bulk features of the flow depend only on a modified capillary number Ca^=[1+0.12(α-1)+0.018(α- 1)2]Ca, where Ca is the unmodified capillary number and α is the aspect ratio. This novel scaling has tremendous practical significance because it implies that the bulk features of the flows in any rectangular channel can be inferred from those in a square channel for Ca^>Ca^t. © 2007 The American Physical Society.

U2 - 10.1103/PhysRevLett.99.234501

DO - 10.1103/PhysRevLett.99.234501

M3 - Article

SN - 0031-9007

VL - 99

JO - Physical Review Letters

JF - Physical Review Letters

IS - 23

M1 - 234501

ER -

Scaling properties of coating flows in rectangular channels

Abstract

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