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Visualization of transient interfacial waves induced by spin-up of two immiscible fluid layers

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Abstract

Interfacial waves of two immiscible layers in a spin-up container were investigated using experimental visualization. While the interface near the central part rose up, instability waves propagated in an azimuthal direction on the interface. These waves were mainly caused by Kelvin–Helmholtz instability for the velocity difference between two layers during spin-up, but had complicated transient characteristics owing to the rotation in a closed system. We visualized the structure of the interfacial waves by the use of three types of optical characteristics of the interface. Image processing provided the detailed factors of the interfacial waves that were classified in four life stages from their generation to disappearance. The initial generation process involved many frequency modes due to a large velocity difference, and then a low mode stood out during the growth, and disappeared with an ellipsoidal sloshing mode to achieve the rigid rotation in both layers.

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References

  • Batchelor GK (1967) An introduction to fluid dynamics. Cambridge University Press, London

  • Benton ER, Clark A (1974) Spin-up. Annu Rev Fluid Mech 6:257–280

    Article  Google Scholar 

  • Berman AS, Bradford J, Lundgren TS (1978) Two-fluid spin-up in a centrifuge. J Fluid Mech 84:411–431

    Article  MATH  Google Scholar 

  • Bonn D, Kobylko M, Bohn S, Meunier J, Morozov A, van Saaloos W (2004) Rod-climbing effect in Newtonian fluids. Phys Rev Lett 93:214503

    Article  Google Scholar 

  • Duck PW, Foster MR (2001) Spin-up of homogeneous and stratified fluids. Annu Rev Fluid Mech 33:231–263

    Article  Google Scholar 

  • Holmboe J (1962) On the behavior of symmetric waves in stratified shear layers. Geofysiske Publikasjoner 24:67–113

    Google Scholar 

  • Kim KY, Hyun JM (1994) Spin-up from rest of a two-layer liquid in a cylinder. J Fluid Eng 116:808–814

    Article  Google Scholar 

  • Lim TG, Choi S, Hyun JM (1993) Transient interface shape of a two layer liquid in an abruptly rotating cylinder. J Fluid Eng 115:324–329

    Article  Google Scholar 

  • Nomura Y, Tasaka Y, Murai Y, Takeda Y (2008) The behavior of Couette–Taylor flow in an azimuthal plane. J Phys Conf Ser 137(012001):1–6

    Google Scholar 

  • Someya S, Munakata T, Nishio M, Okamoto K (2003) Preliminary study of two immiscible liquid layers subjected to a horizontal temperature gradient. J Visual 6:21–30

    Article  Google Scholar 

  • Sugii Y, Okamoto K, Hibara A, Tokeshi M, Kitamori T (2005) Effect of Korteweg stress in miscible liquid two-layer flow in a microfluidic device. J Visual 8:117–124

    Article  Google Scholar 

  • Sugimoto T, Iguchi M (2002) Behavior of immiscible two liquid layers contained in cylindrical vessel suddenly set in rotation. ISIJ Int 42:338–343

    Article  Google Scholar 

  • Tasaka Y, Ito K, Iima M (2008) Visualization of a rotating flow under large-deformed free surface using anisotropic flakes. J Visual 11:163–172

    Google Scholar 

  • Umurhan OM, Heifetz E (2007) Holmboe modes revised. Phys Fluids 19:064102

    Article  Google Scholar 

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Correspondence to Shuhei Fujimoto.

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Fujimoto, S., Murai, Y., Tasaka, Y. et al. Visualization of transient interfacial waves induced by spin-up of two immiscible fluid layers. J Vis 13, 17–23 (2010). https://doi.org/10.1007/s12650-009-0007-4

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  • DOI: https://doi.org/10.1007/s12650-009-0007-4

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