Scaling properties of coating flows in rectangular channels

de Lozar, A. and Hazel, A.L. and Juel, A. (2007) Scaling properties of coating flows in rectangular channels. Physical Review Letter, 99 (23). ISSN 0031-9007

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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(alpha-1)+0.018(alpha-1)2]Ca, where Ca is the unmodified capillary number and alpha 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.

Item Type:	Article
Subjects:	PACS 2010, the AIP's Physics and Astronomy Classification Scheme > 40 ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID MECHANICS > 47 Fluid dynamics
Depositing User:	Ms Lucy van Russelt
Date Deposited:	17 Dec 2007
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/999

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