In a submerged orifice flow the head of water on one side is H₁ and the other side is H₂. The discharge through the orifice is proportional to

Explanation:

The orifice is a small opening of any cross-section on the side or at the bottom of a tank, through which a fluid is flowing. It is used for measuring the rate of flow of fluid.

The rate of discharge through the orifice is :

\(Q\; = \;{a_0}{C_d}\sqrt {2gH} \)

Where Cd is the coefficient of discharge, which is the product of Cc (coefficient of contraction) and Cv (coefficient of velocity).

h = difference in elevation of water surface

Submerged orifice:

• When an orifice is a discharge into a tank or into the channel and the liquid level in the tank or channel is above the top of the orifice, then the orifice is said to be submerged.
• In a submerged orifice, the head acting on any strip will be always equal to the difference between the inside and outside levels.

If H is the difference in levels of the fluid in two tanks, then

Discharge, \(Q\; = \;{a_0}{C_d}\sqrt {2gH} \)

Hence the discharge through the totally submerged orifice is directly proportional to the square root of the difference in elevation of the water surface.