Knowledge related to taking the square root of measurement values

Are you referring to the relationship of taking the square root of the differential pressure to measure flow rate?

Generally, the measured values are subjected to signal processing; after normalizing the signal, the square root function block can be applied directly

I don’t know what value the original poster is talking about when it comes to taking a square root

If taking the square root is required when measuring flow rate using differential pressure

I hope the information below will be helpful to you. Here’s how to set the square root function for HART 375: Step 1: Turn on the device and access the main menu; select HART Application. Step 2: There are five options on the screen; choose Device Setup. Step 3: On the resulting screen, select Basic Setup. Step 4: On this screen, select Transfer Function. Step 5: Choose either Linear or Square Root depending on your needs. By linear and square root, we mean the relationship between measurement and output. To find out whether the thermal resistor and thermocouple use a multi-wire system, check under the Connection option in the Sensor menu and configure it accordingly. You can definitely find this information in the Detailed Setup sub-menu； Change the differential pressure value of flow rate to a flow rate display. To do this, go to Process Variables --> Output Condition --> Scaled Variable. Then navigate to the last option there to make the changes. After making those adjustments, go to Basic Setup to modify the display variable. Remember to “send”.

The signal measured by a differential pressure transmitter is the differential pressure value, and according to Bernoulli’s equation, flow rate is linearly related to the square root of the differential pressure. The square root operation can be performed within the transmitter (intelligent transmitter), or it can also be done within the DCS.

You can take the square root in the table header, or you can do it in DCS

Continuing from floor 9: if it’s panel-mounted instruments, there is also a dedicated square root calculator, with a size similar to that of the safety barrier.

Hehe, what the people above said is really great... Let me summarize it... According to Bernoulli’s equation, flow rate is proportional to the square root of the pressure difference... Therefore, by measuring the pressure difference on both sides of the throttle element after throttling, it is possible to determine the flow velocity of the fluid... The square root function can be incorporated into transmitters, panel-mounted meters, or DCS systems.