Many times we encounter differential pressure type flow meters for doing various activities like preventive maintenance, commissioning, or checking the response on a doubt basis.

## DP Flow Meter

At that time, we mostly get confused by seeing the two ranges i.e. one is mmH_{2}O and the other is m^{3}/hr. Also, there is a square root relationship between the flow and differential pressure.

Today in this article we are going to learn two methods for calculating the flow of given differential pressure.

## Differential Pressure Flow Meters Range Calculation

In this method, we will use the formula to calculate the flow for given differential pressure.

Here we get the mA using the formula. We need to convert mA to a proportional value in mmH2O or m^{3}/hr.

Let us understand this using one example.

Suppose for an orifice-type differential flow meter, the DP range is 0 mmH_{2}O to 2000 mmH_{2}O. The output flow range is 0 m^{3}/hr to 1000 m^{3}/hr.

**Step 1:** Calculate mA corresponding to 800 mmH2O.

We can easily do this using the Range Conversion Formula and Examples

(800-0)/(2000-0) = (Value_2 – 4)/(20-4)

Value_2 = (0.4 x 16) + 4

Value_2 = 6.4 + 4

Solving for Value_2, we get

Value_2 = 10.4

10.4 is our linear mA corresponding to 800 mmH_{2}O in the range of 0 mmH_{2}O to 2000 mmH_{2}O

**Step 2:** Plut this linear mA into the equation which we discussed for flow and differential pressure conversion

Square Root mA = 4 + [4 * √(10.4-4)]

Square Root mA = 4 + [4 * 2.529]

Square Root mA = 4 + 10.116

Square Root mA = 14.11928

Here, 14.11928 is our mA corresponding to the flow which is in the range of 0 m^{3}/hr to 1000 m^{3}/hr.

**Step 3:** Convert this Square Root mA i.e. 14.11928 mA into flow in the range of 0 m^{3}/hr to 1000 m^{3}/hr again use Range Conversion Formula and Examples.

(14.11928-4)/(20-4) = (Value_2 – 0)/(1000-0)

Value_2 = (10.1192/16) +0

Solving for Value_2, we get

Value_2 = 632.455

Hence we will get the flow of 632.455 m^{3}/hr for the differential pressure of 800 mmH_{2}O

## Flow and Differential Pressure Square Root Calculation

This is another method we will discuss the flow and differential pressure square root calculation of DP flow meters.

We will take the same example and learn to calculate the flow corresponding to 800 mmH_{2}O

**Step 1:** Calculate how much % is 800 in the range of 2000 (take absolute range i.e. URV – LRV)

800 → 2000

? ← 100

Yes, you are correct. It is 40%.

**Step 2:** Divide 40 by 100. We get 0.4

Now calculate the square root of 0.4

√0.4 = 0.632455

**Step 3:** Multiply the absolute range of m^{3}/hr range with 0.632455 and add LRV(0 in our case)

1000 * 0.632455 = 632.455

Ohh Yes, my friend. It is that easy.

I hope now this topic won’t create any confusion in your mind.

**Read Next:**

- Impulse Piping for Field instruments
- Pressure Transmitters Purge Lines
- Instrumentation Earthing
- UPS Selection Factors
- Basics of SIL Verification