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How to calibrate a mass flow meter with reduced diameter?

Flow Meters – Silver Automation Instruments

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1. Mass flow controller/flowmeter - Flow state stability, naturally measured stability

The reason for the stability and reliability of the laminar pressure differential flowmeter is mainly based on the regularity of gas flow in laminar flow and the deterministic relationship of Hagen Poiseuilles law. The specific analysis is as follows

1. Gas flow characteristics in laminar flow state: Layered flow without radial disturbance: When the gas flow rate is slow and viscous force dominates the flow field, the influence of inertial force is suppressed, and the velocity and direction disturbances in the flow field gradually attenuate due to viscous effect, and the gas presents a layered flow state along the flow direction (laminar flow). At this point, there is no radial (perpendicular to the flow direction) disturbance in the gas, and the velocity distribution is stable and predictable. Accurate measurement of pressure through pressure tapping holes: In laminar flow, by opening pressure tapping holes on the pipeline wall, the sensor can stably obtain the pressure value at that point. Due to the absence of turbulence in the airflow, the pressure signal will not be distorted due to fluctuations caused by turbulence, providing reliable data for subsequent calculations. 2. The deterministic relationship between the flow rate and pressure difference is determined by the geometric parameters of the flow channel (such as length L and radius r) and gas viscosity eta. In laminar flow, gas follows the Hagen Poiseuille law, which is expressed as follows: where the flow rate Q is proportional to the pressure difference Delta P, and the proportionality coefficient is determined by the geometric parameters of the flow channe

Shrinkage of mass flowmeter
l (such as length L and radius r) and gas viscosity eta. For fixed flow channels and gas types, these parameters are constant values, so the relationship between $Q $and $Delta P $is unique and stable. The unique correspondence between pressure difference signal and flow rate: The pressure difference signal collected by the sensor directly reflects the flow rate value, without the need for tedious correction or compensation. For example, when the pressure difference is Delta P1, the flow rate must be Q_1; The pressure difference changes to $Delta P_2 $, and the flow rate synchronously changes to $Q_2 $. This deterministic relationship of "one pressure difference, one flow rate" eliminates measurement errors caused by turbulent airflow.

3. The design advantage of the Yidu flowmeter is the forced laminar flow channel design: Yidu optimizes the channel structure (such as reducing the pipe diameter, increasing the channel length, and using honeycomb rectifiers) to force the gas to form a laminar flow state before entering the measurement section. Even if there is slight turbulence in the upstream airflow, stable stratified flow can be restored in the channel.

. High precision differential pressure sensor: High sensitivity and strong stability differential pressure sensors are selected to accurately capture small differential pressure changes (such as 0.1 Pa level), further ensuring the resolution and repeatability of flow measurement. Outstanding anti-interference ability: Due to the insensitivity of laminar flow state to external conditions such as temperature and pressure (as long as the flow state is not changed), the flow meter can still maintain measurement stability under tedious working conditions, reducing d

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