On the relevance of the Morton number on the hydraulic modelling of free-surface flows

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  • Опубліковано 14 січ 2025
  • This video emphasises the relevance of the Morton number on the hydraulic modelling of free-surface flows. Since air and water are most commonly used in hydraulic modelling of open channel and free-surface flows, the Morton number is an invariant. Its invariance simplifies the dimensional analysis by reducing the number of independent variables, including the elimination of the Weber number when the Froude and Reynolds numbers are retained.
    Keywords: Free-surface flows, Open channel flow, Hydraulic modelling, Physical modelling, Computational modelling, Theoretical modelling, Morton number, Rose Katherine Morton, The Lady and the Bubble, Dimensional analysis, Similitude, Scale effects, Upscaling, Hydraulic structures, Froude number, Reynolds number, Weber number, Model-prototype compliance
    Acknowledgements
    Marie COLE
    Prof Michael PFISTER
    Ya-Hui CHOU
    Bibliography
    UA-cam video clips by Hubert Chanson { / @hubert_chanson }
    Froude number { • Froude number }
    Reynolds number { • Reynolds number }
    Weber number { • Weber Number }
    Morton number { • Morton number }
    Physical modelling in hydraulic engineering (3) Reynolds similitude { • Physical modelling in ... }
    Physical modelling in hydraulic engineering (4) Froude similitude { • Physical modelling in ... }
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    HABERMAN, W.L., and MORTON, R.K. (1954). "An Experimental Study of Bubbles Moving in Liquids." Proceedings, ASCE, 387, pp. 227-252.
    HABERMAN, W.L., and MORTON, R.K. (1956). "An Experimental Study of Bubbles Moving in Liquids." Transactions, ASCE, Vol. 121, No. 1, Paper No. 2799, pp. 227-252.
    KOBUS, H. (1984). "Local Air Entrainment and Detrainment." Proceedings International Symposium on Scale Effects in Modelling Hydraulic Structures, IAHR, Esslingen, Germany, H. KOBUS Editor, Paper 4.10, 10 pages.
    CHANSON, H. (1997). "Air Bubble Entrainment in Free-Surface Turbulent Shear Flows.“ Academic Press, London, UK, 401 pages (ISBN 0-12-168110-6).
    CHANSON, H. (1999). "Physical Modelling of Hydraulics." in "The Hydraulics of Open Channel Flow: An Introduction." Edward Arnold, London, UK, pp. 261-283.
    CHANSON, H. (2004). "The Hydraulics of Open Channel Flow: An Introduction." Butterworth-Heinemann, 2nd edition, Oxford, UK, 630 pages (ISBN 978 0 7506 5978 9).

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