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How To Calculate Orifice Size

Orifice Size Equation:

\[ d = \sqrt{\frac{4Q}{\pi C \sqrt{\frac{2 \Delta P}{\rho}}}} \]

m³/s
(0-1)
Pa
kg/m³

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1. What is the Orifice Size Equation?

The orifice size equation calculates the diameter of an orifice needed to achieve a specific flow rate given the pressure drop across the orifice, fluid density, and discharge coefficient. It's fundamental in fluid mechanics and engineering applications.

2. How Does the Calculator Work?

The calculator uses the orifice size equation:

\[ d = \sqrt{\frac{4Q}{\pi C \sqrt{\frac{2 \Delta P}{\rho}}} \]

Where:

Explanation: The equation balances flow rate against pressure loss through the orifice, accounting for fluid properties and flow characteristics.

3. Importance of Orifice Size Calculation

Details: Proper orifice sizing is critical for flow measurement, control systems, and ensuring efficient operation of fluid systems while minimizing energy losses.

4. Using the Calculator

Tips: Enter flow rate in m³/s, discharge coefficient (0-1), pressure drop in Pascals, and density in kg/m³. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical discharge coefficient value?
A: For sharp-edged orifices, C ≈ 0.61-0.62. For rounded orifices, it can be higher (0.7-0.9).

Q2: How does viscosity affect the calculation?
A: Viscosity is accounted for in the discharge coefficient, which should be determined experimentally for specific conditions.

Q3: Can this be used for compressible flows?
A: This equation is for incompressible flows. Compressible flows require additional factors for gas expansion.

Q4: What's the relationship between orifice size and pressure drop?
A: For a given flow rate, smaller orifices create larger pressure drops. The relationship is inversely proportional to the fourth power of diameter.

Q5: How accurate is this calculation?
A: Accuracy depends on correct C value. For precise applications, experimental calibration is recommended.

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