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Two- and three-dimensional waves in falling film flow in the nonlaminar flow regime: an NMR study

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Abstract

Nuclear magnetic resonance (NMR) velocity-encoded imaging results as well as propagators are presented for the nonlaminar flow regime of falling films. The film is generated by a continuous flow of silicon oil along a vertical poly(methyl methacrylate) plate. While the film remains purely laminar for a film Reynolds number Ref=0.5, it exhibits laminar-wavy behavior for 1.0≤Ref≤2.5. In this range, a laminar residual film can be distinguished from averaged waves near the surface of the film from measurements of the flow velocity ν2 along the direction of gravity as a function of the coordinatex normal to the plate. The perpendicular velocity components, νx and νy are zero within the accuracy of the measurement, indicating that the wave motion is two-dimensional in the laminar-wavy case. For higher Ref the waves are found to be three-dimensional, a straightforward division into a residual film and waves in νz is lost and the waves extend over the whole thickness of the film.

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References

  1. Alekseenko, S.V., Nakoryakov V.E., Pokusaev B.G.: Wave Flow of Liquid Films. New York: Begell House 1994.

    MATH  Google Scholar 

  2. Kapitza P.L.: Zh. Eksp. Teor. Fiz.18, 3 (1948)

    ADS  Google Scholar 

  3. Heine C.: Ph.D. thesis, RWTH-Aachen, Aachen, Germany, 2001.

  4. Heine C., Kupferschläger K., Stapf S., Blümich B.: J. Magn. Reson.154, 311 (2002)

    Article  ADS  Google Scholar 

  5. Fukushima E.: Annu. Rev. Fluid Mech.31, 95 (1999)

    Article  ADS  Google Scholar 

  6. Caprihan A., Seymour J.D.: J. Magn. Reson.144, 96 (2000)

    Article  ADS  Google Scholar 

  7. Callaghan P.T.: Principles of Nuclear Magnetic Resonance Microscopy. Oxford: Clarendon Press 1993.

    Google Scholar 

  8. Kärger J., Heink W.: J. Magn. Reson.51, 1 (1983)

    ADS  Google Scholar 

  9. Blümich B.: NMR Imaging of Materials. Oxford: Oxford Science Publications 2000.

    Google Scholar 

  10. Nußelt W.: Z. VDI60, 541 (1916)

    Google Scholar 

  11. Adomeit P., Renz U.: Int. J. Multiphase Flow26, 1183 (2000)

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Institut für Technische Chemie und Makromolekulare Chemie, Rheinisch-Westfälische Technische Hochschule Aachen, Worringerweg 1, 52074, Aachen, Germany

    C. Heine, S. Stapf & B. Blümich

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  1. C. Heine
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  2. S. Stapf
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  3. B. Blümich
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Heine, C., Stapf, S. & Blümich, B. Two- and three-dimensional waves in falling film flow in the nonlaminar flow regime: an NMR study. Appl. Magn. Reson. 22, 223–233 (2002). https://doi.org/10.1007/BF03166105

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  • DOI: https://doi.org/10.1007/BF03166105

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