Scaling properties of coating flows in rectangular channels

A. De Lózar, A. L. Hazel, A. Juel

    Research output: Contribution to journalArticlepeer-review


    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 languageEnglish
    Article number234501
    JournalPhysical Review Letters
    Issue number23
    Publication statusPublished - 3 Dec 2007


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