Discharge over a Triangular 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.
OverviewA triangular notch is also called a V-notch. Consider a triangular notch, in one side of the tank, over which water is flowing as shown in figure. Let,
- H = Height of the liquid above the apex of the notch
- θ = Angle of the notch
- Cd = Coefficient of discharge
Area of the strip = We know that the theoretical velocity of water through the strip = and discharge over the notch,
The total discharge over the whole notch may be found out only by integrating the above equation within the limits 0 and H.
A triangular notch gives more accurate results for low discharges than rectangular notch and the same triangular notch can measure a wide range of flows accurately.
Example - Discharge through a triangular notch
A right-angled V-notch was used to measure the discharge of a centrifugal pump. If the depth of water at V-notch is 200mm, calculate the discharge over the notch in liters per minute. Assume coefficient of discharge as 0.62.
Discharge over the notch = 1560 liters/s