Journal of Thermal Science

, Volume 16, Issue 4, pp 289–300

Damped oscillation of liquid column in vertical U-tube for Newtonian and non-Newtonian liquids


  • Suguru Tokiwa
    • Asnohorie Co. Ltd.
  • Masatoshi Mutou
    • Yamada manufacturing Co. Ltd.
  • Kazutaka Mogi
    • Polymatech Co. Ltd.
  • Tonau Sugawara
    • Fujikura Rubber Com.
  • Masahide Watanabe
    • Furukawa Electric Co.Ltd.
  • Kouhei Satou
    • GMA Co. Ltd.
  • Toshikazu Kikawada
    • Top Corporation Co.Ltd.
  • Keitarou Shishido
    • Hitachi Unisia Co.Ltd.
  • Naoya Matumoto
    • Research Student

DOI: 10.1007/s11630-007-0289-6

Cite this article as:
Ogawa, A., Tokiwa, S., Mutou, M. et al. J. Therm. Sci. (2007) 16: 289. doi:10.1007/s11630-007-0289-6


Damped oscillation of Newtonian liquid in a vertical U-tube is one of the well known phenomena and the solution of this liquid motion for the laminar flow regime in the circular pipe was solved, however, generally speaking, even if the period of the oscillational motion by this solution is nearly coincided with that of the experimental result, the estimation of the damped oscillational process with lapse of time by the solved equation is not in agreement with that of the experimental result. Therefore basing upon the experimental results of the velocity distributions of the oscillational motion in the circular U-tube for the Newtonian and non-Newtonian liquids, the velocity distribution of the Bingham plastic flow is assumed. The solutions of the damped oscillation and also of the vertical falling and rising velocities of the free surface in the vertical U-tube of the diameters D=10mm, 20mm and 40mm are compared with water and water-glycerine solution for the Newtonian liquids and the acrylic co-polymer solutions for the non-Newtonian liquid. The comparisons of these solved equations by the new flow model are shown in good agreement with the experimental results. The above stated results are described in detail.


Damped oscillationBingham plastic flowHagen-Poiseuille lawNewtonian liquidnon-Newtonian liquid

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© Science Press 2007