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
Berman AS, Bradford J, Lundgren TS (1978) Two-fluid spin-up in a centrifuge. J Fluid Mech 84:411–431
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
Duck PW, Foster MR (2001) Spin-up of homogeneous and stratified fluids. Annu Rev Fluid Mech 33:231–263
Holmboe J (1962) On the behavior of symmetric waves in stratified shear layers. Geofysiske Publikasjoner 24:67–113
Kim KY, Hyun JM (1994) Spin-up from rest of a two-layer liquid in a cylinder. J Fluid Eng 116:808–814
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
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
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
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
Sugimoto T, Iguchi M (2002) Behavior of immiscible two liquid layers contained in cylindrical vessel suddenly set in rotation. ISIJ Int 42:338–343
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
Umurhan OM, Heifetz E (2007) Holmboe modes revised. Phys Fluids 19:064102
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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