Derive an expression of discharge through an orifice plate
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The expression of discharge is v2 = √ 2 gh + v1^2
Explanation:
Orifice meter is a device used for measuring the rate of flow of a fluid flowing through a pipe.
- Bernoulli equation used on discharge through an orifice plate.
- P1 /ρg + v1^2 / 2 g + z1 = P2 / ρg + v2^2 / 2 g + z2
- => ( P1 / ρg + z1) - ( P2 / ρg + z2) = v2^2 - v1^2 / 2 g
- h = v2^2 - v1^2 / 2 g
- v2 = √ 2 gh + v1^2
Here h is the differential head.
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