Soil and Water Conservation Engineering · Fluid Mechanics · 2 marks · Numerical answer
A rectangular tank orifice is 1.5 m wide and 1.2 m high. Water level is 3.5 m above its top. Cd=.62,g=9.81 m/s². Find discharge in m³/s, to two decimals.
For a large vertical rectangular opening, integrate local velocity: $Q=(2/3)C_db\sqrt{2g}(H_b^{3/2}-H_t^{3/2})$. Here Ht=3.5,Hb=4.7,b=1.5. Substitution gives approximately **10.00 m³/s**. Using centroid head gives a close approximation, but the integrated formula accounts for varying pressure across the opening.
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