Discharge over a rectangular notch
Key FactsGyroscopic Couple: The rate of change of angular momentum () = (In the limit).
- = Moment of Inertia.
- = Angular velocity
- = Angular velocity of precession.
Blaise Pascal (1623-1662) was a French mathematician, physicist, inventor, writer and Catholic philosopher.
Leonhard Euler (1707-1783) was a pioneering Swiss mathematician and physicist.
TheoryConsider a rectangular notch in one side of a tank over which water is flowing as shown in figure. Let,
- H = Height of water above sill of notch
- b = Width or length of the notch
- Cd = Coefficient of discharge
The total discharge over the whole notch, may be found out by integrating the above equation within the limits 0 and H.
Example - Discharge over a rectangular notch
A rectangular notch 0.5m wide has constant head of 400 mm. Find the discharge over the notch in liters per second, if the coefficient of discharge for the notch is 0.62.
- b = 0.5 m
- H = 400 mm = 0.4 m
- Cd = 0.62
Discharge over the notch = 231 liters/s