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Abstract
This experimental work endeavours to quantify the behaviour of the germane factors on discharge coefficient variation of combined-free over-under flow on a cylindrical weir-gate. The experiments were carried out on varied geometrical dimensions of the weir-gate under hydraulic conditions of over, combined and under flows. The Buckingham Phi theorem was employed to correlate the discharge coefficient to the effective dimensionless hydraulic and geometrical arguments. Meaningful contribution of the ratios of (a/D), (yup/yd), (Hw/D) and Frup in variation of Cds were found. The Cds ranged between 0.6 and 1.2 with average value of 0.89 for combined over-under flow, which indicates larger values of Cds were recorded, in comparison with under flow. The developed empirical relationships for over, combined and under flows presented good coincidence with experimental results within the limitations of the runs.