New stage-discharge relationship for inclined non-rectangular weirs

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In this paper, the outflow process of inclined non-rectangular weirs is studied applying the dimensional analysis and the incomplete self-similarity theory. At first, a new stage-discharge equation, applicable for the non-rectangular weirs having a different geometrical shape (parabolic, semicircular, inverted semicircular), is theoretically deduced using a characteristic width. Then, this power stage-discharge relationship (Eq. (17)) is calibrated and tested using measurements carried out by Raiknar for parabolic, semicircular and inverted semicircular weirs having different inclination respect to the vertical (10° 20° 30° 40° and 45°). For each geometrical shape, the analysis showed that the exponent of the power stage-discharge relationship is quasi constant while its coefficient is related to the weir inclination. Finally, the accuracy of the stage-discharge relationship was improved taking into account the effect of the weir inclination angle. The proposed stage-discharge equations (Eqs. (20)–(22)) allow to calculate discharge values which are characterized by an estimate accuracy always greater than that of the corresponding values calculated by relationships proposed by Raiknar.
Original languageEnglish
Pages (from-to)9-13
Number of pages5
JournalFlow Measurement and Instrumentation
Publication statusPublished - 2018

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Instrumentation
  • Computer Science Applications
  • Electrical and Electronic Engineering

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