Orifice flowmeter | Open channel Doppler flowmeter manufacturer

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1. Principle and formula of orifice plate differential pressure flowmeter

Principle and formula of orifice plate differential pressure flowmeter: The orifice plate differential pressure flowmeter consists of a throttling device (orifice plate), a pressure pipe, and a differential pressure gauge. Its working principle is based on the throttling principle of fluid flow, which means that when fluid flows in a pipeline with a throttling device, a static pressure difference will be generated at the pipe wall before and after the throttling device. When fluid flows in a pipeline, it has two forms of energy: static pressure energy and kinetic energy. According to the law of conservation of energy, in the absence of external energy, the sum of static pressure energy and kinetic energy possessed by a fluid, as well as the energy loss used to overcome fluid flow resistance, always remains constant. When the fluid flows through the orifice plate, the obstruction effect of the orifice plate causes changes in the flow velocity and pressure of the fluid before and after the orifice plate. Specifically, as the fluid approaches the orifice plate, the flow velocity increases and static pressure energy is converted into kinetic energy, resulting in a decrease in static pressure in front of the orifice plate; After passing through the orifice plate, the flow velocity decreases, and the kinetic energy can be converted into static pressure energy, resulting in an increase in static pressure behind the orifice plate. Therefore, there is a static pressure difference before and after the orifice plate, which is related to the flow rate of the fluid. Formula: The flow calculation formula for orifice plate differential pressure flowmet

er is derived based on Bernoulli equation and flow continuity equation. Bernoulli equation: [frac {p2} {rho}+frac {V_ {1} ^ {2}} {2}=frac {p2} {rho}+frac {V_ {2} ^ {2}} {2}], where (p2}) and (p2}) are the static pressure before and after the orifice plate, (rho) is the fluid density, and (V_ {1}) and (V_ {2}) are the flow velocities before and after the orifice plate, respectively. Flow continuity equation: [A_ {1}V_ {1}=A_ {2}V_ {2} Among them, (A_ {1}) and (A_ {2}) are the cross-sectional areas of the pipes before and after the orifice plate, respectively. Flow calculation formula: By solving the Bernoulli equation and the flow continuity equation together, the flow calculation formula can be obtained: [q_ {v}=A_ {2}V_ {2}=A_ {2}sqrt {frac{2(p_ {2}-p_ {1} ) {left (1-frac {A_ {2} ^ {2}} {A_ {1} ^ {2}} right) rho}}, where (q_ {v}) is the volumetric flow rate. To simplify the calculation, the flow coefficient (alpha) is introduced, which is a function of Reynolds number and is related to the structure and fluid properties of the throttling device. The value of flow coefficient (alpha) can be found in relevant manuals (for standard throttling devices) or obtained through experimental methods (for non-standard throttling devices). Therefore, the final flow calculation formula can be expressed as: [q_ {v}=alpha A_ {0}sqrt {frac{2Delta p}{rho}}][q_{m}=alpha A_ {0}sqrt {2rhoDelta p}], where (A_ {0}) is the area at the orifice, (Delta p) is the static pressure difference before and after the orifice plate, and (q_ {m}) is the mass flow rate. For compressible fluids, due to their tendency to undergo volume changes, the expansion coefficient (varepsilon) needs to be introduced into the flow equation, and the flow calculation form

Orifice flowmeter | Open channel Doppler flowmeter manufacturer

1. Principle and formula of orifice plate differential pressure flowmeter

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