The mass flow equation of the Venturi flowmeter is:
[ M = \frac{C}{(\sqrt{1-\beta^4})^{\frac{1}{2}}} \cdot \epsilon \cdot \left(\frac{\pi}{4}\right) \cdot d^2 \cdot (2 \cdot \Delta P \cdot \rho)^{\frac{1}{2}} ]
Wherein,
( M ) is the mass flow rate,
( C ) is the discharge coefficient, which depends on the Reynolds number, and the Reynolds number depends on the mass flow rate ( M ),
( \beta ) is the ratio of throat diameter to pipe diameter,
( \epsilon ) is the pipe expansion coefficient,
( d ) is the throat diameter,
( \Delta P ) is the differential pressure, and
( \rho ) is the medium density under the working condition.
When the flow meter is manufactured, the constant parameters in the equation can be integrated into a constant (K), and the simplified formula is: [M = K (\Delta P \cdot \rho)^{\frac{1}{2}}] When (\Delta P) is constant, it can be further simplified to: [M = \rho^{\frac{1}{2}}] This means that when the differential pressure remains unchanged, the medium density and mass flow rate are in a square root relationship.
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