The following are the important expressions used in orifices and mouthpieces including discharge through large rectangular orifice, discharge through wholly submerged orifice, and more:
(a) Discharge through a large rectangular orifice,
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)
where
Cd = Coefficient of discharge,
b = Breadth of the orifice,
H1 = Height of the liquid above the top of the orifice, and
H2 = Height of the liquid above the bottom of the orifice.
(b) Discharge through a wholly submerged orifice,
![](data:image/png;base64,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)
where
H1 = Height of water (on the upstream side) above the top of the orifice,
H2 = Height of water (on the downstream side) above the bottom of the orifice, and
H = Difference between two water levels on either side of the orifice.
(c) Time required to empty the tank completely through an orifice at the bottom,
![](data:image/png;base64,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)
(d) Time required to empty the hemispherical tank through an orifice at the bottom,
![](data:image/png;base64,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)
where
R = Radius of hemispherical tank.
(e) Discharge through an external mouthpiece,
![](data:image/png;base64,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)
where
a = Cross-sectional area of the mouthpiece, and
H = Height of liquid above the mouthpiece.
(f) Discharge through the internal mouthpiece when it is running free,
![](data:image/png;base64,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)
(g) Discharge through the internal mouthpiece when it is running full,
![](data:image/png;base64,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)
Notes:
1. The re-entrant or Borda's mouthpiece is an internal mouthpiece.
2. If the jet of liquid after contraction does not touch, the sides of the mouthpieces, then the mouth piece,is said to be running free. In this case, the length of mouthpiece is equal to diameter of the orifice.
3. If the jet of liquid after contraction expands and fills up the whole mouthpiece, then the mouthpiece is said to be running full. In this case, the length of mouthpiece is more than three times the diameter of orifice.
(a) Discharge through a large rectangular orifice,
where
Cd = Coefficient of discharge,
b = Breadth of the orifice,
H1 = Height of the liquid above the top of the orifice, and
H2 = Height of the liquid above the bottom of the orifice.
(b) Discharge through a wholly submerged orifice,
where
H1 = Height of water (on the upstream side) above the top of the orifice,
H2 = Height of water (on the downstream side) above the bottom of the orifice, and
H = Difference between two water levels on either side of the orifice.
(c) Time required to empty the tank completely through an orifice at the bottom,
(d) Time required to empty the hemispherical tank through an orifice at the bottom,
where
R = Radius of hemispherical tank.
(e) Discharge through an external mouthpiece,
where
a = Cross-sectional area of the mouthpiece, and
H = Height of liquid above the mouthpiece.
(f) Discharge through the internal mouthpiece when it is running free,
(g) Discharge through the internal mouthpiece when it is running full,
Notes:
1. The re-entrant or Borda's mouthpiece is an internal mouthpiece.
2. If the jet of liquid after contraction does not touch, the sides of the mouthpieces, then the mouth piece,is said to be running free. In this case, the length of mouthpiece is equal to diameter of the orifice.
3. If the jet of liquid after contraction expands and fills up the whole mouthpiece, then the mouthpiece is said to be running full. In this case, the length of mouthpiece is more than three times the diameter of orifice.
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