Rectangular notch
Discharge over a rectangular notch
Key Facts
Gyroscopic 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.
Theory
Consider a rectangular notch in one side of a tank over which water is flowing as shown in figure.MISSING IMAGE!
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- H = Height of water above sill of notch
- b = Width or length of the notch
- Cd = Coefficient of discharge
Example:
[metric]
Example - Discharge over a rectangular notch
Problem
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.
Workings
Given,
- b = 0.5 m
- H = 400 mm = 0.4 m
- Cd = 0.62
Solution
Discharge over the notch = 231 liters/s