Orifice Size Calculator

Formula

To calculate the Orifice Size:

\[ A = \frac{Q}{\sqrt{2 \times \frac{\Delta P}{\rho}}} \]

Where:

\(A\) is the orifice size (square meters)
\(Q\) is the flow rate (cubic meters per second)
\(\Delta P\) is the pressure drop across the orifice (pascals)
\(\rho\) is the density of the fluid (kg/m³), assumed to be 1000 kg/m³ for water

Orifice Size Definition

An orifice size refers to the area of the opening in an orifice plate, which is used to measure flow rate or reduce pressure within a piping system. The size of the orifice determines the amount of fluid that can pass through and is an important factor in the design and operation of flow control systems.

Example Calculation 1

Let's assume the following values:

Flow Rate (\(Q\)) = 0.05 cubic meters per second
Pressure Drop (\(\Delta P\)) = 10000 pascals
Density of Fluid (\(\rho\)) = 1000 kg/m³

Using the formula:

\[ A = \frac{0.05}{\sqrt{2 \times \frac{10000}{1000}}} = \frac{0.05}{\sqrt{20}} = 0.01118 \]

The orifice size is 0.01118 square meters.

Example Calculation 2

Let's assume the following values:

Flow Rate (\(Q\)) = 0.1 cubic meters per second
Pressure Drop (\(\Delta P\)) = 5000 pascals
Density of Fluid (\(\rho\)) = 1000 kg/m³

Using the formula:

\[ A = \frac{0.1}{\sqrt{2 \times \frac{5000}{1000}}} = \frac{0.1}{\sqrt{10}} = 0.03162 \]

The orifice size is 0.03162 square meters.