Calculate Gas Flow Through Orifice

Orifice Flow Equation:

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

Discharge Coefficient (C_d):

(0-1)

Orifice Area:

m²

Pressure Difference (ΔP):

Gas Density (ρ):

kg/m³

Gas Flow Rate (Q):

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1. What is the Orifice Flow Equation?

The orifice flow equation calculates the volumetric flow rate of gas through an orifice plate based on the pressure difference across the orifice, the orifice characteristics, and gas properties.

2. How Does the Calculator Work?

The calculator uses the orifice flow equation:

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

Where:

\( Q \) — Volumetric flow rate (m³/s)
\( C_d \) — Discharge coefficient (dimensionless)
\( A \) — Cross-sectional area of the orifice (m²)
\( \Delta P \) — Pressure difference across orifice (Pa)
\( \rho \) — Gas density (kg/m³)

Explanation: The equation accounts for the relationship between pressure drop and flow rate through a restriction in a pipe.

3. Importance of Orifice Flow Calculation

Details: Accurate flow calculation is crucial for designing and analyzing fluid systems, sizing equipment, and process control in various industries.

4. Using the Calculator

Tips: Enter all values in consistent units (SI units recommended). Typical discharge coefficient for sharp-edged orifice is about 0.61.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical discharge coefficient value?
A: For sharp-edged orifices, Cd ≈ 0.61. For rounded orifices, it can be higher (up to 0.98).

Q2: Does this equation work for compressible flow?
A: This simplified version is for incompressible flow. For compressible flow, additional factors must be considered.

Q3: What affects the discharge coefficient?
A: Orifice geometry, edge sharpness, Reynolds number, and the β ratio (orifice to pipe diameter ratio).

Q4: How accurate is this calculation?
A: Accuracy depends on correct Cd value and measurement of parameters. For precise measurements, calibration is recommended.

Q5: Can this be used for liquid flow?
A: Yes, the same equation applies to incompressible liquid flow through an orifice.