Venturi Flow Meter Calculator

Venturi Flow Rate Formula:

\[ Q = C_d \cdot A_2 \cdot \sqrt{\frac{2 \cdot \Delta P}{\rho \cdot (1 - (\frac{A_2}{A_1})^2)}} \]

Discharge Coefficient (C_d):

Throat Area (A₂):

m²

Pipe Area (A₁):

m²

Pressure Difference (ΔP):

Fluid Density (ρ):

kg/m³

Flow Rate (Q):

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1. What is a Venturi Flow Meter Calculator?

Definition: This calculator determines the volumetric flow rate through a Venturi meter based on pressure difference and geometric properties.

Purpose: It helps engineers and technicians measure fluid flow in pipes using the Venturi effect principle.

2. How Does the Calculator Work?

The calculator uses the Venturi equation:

\[ Q = C_d \cdot A_2 \cdot \sqrt{\frac{2 \cdot \Delta P}{\rho \cdot (1 - (\frac{A_2}{A_1})^2}} \]

Where:

\( Q \) — Volumetric flow rate (m³/s)
\( C_d \) — Discharge coefficient (dimensionless, typically 0.95-0.99)
\( A_2 \) — Throat cross-sectional area (m²)
\( A_1 \) — Pipe cross-sectional area (m²)
\( \Delta P \) — Pressure difference between pipe and throat (Pa)
\( \rho \) — Fluid density (kg/m³)

Explanation: The flow rate is proportional to the square root of the pressure difference and inversely proportional to the square root of the density.

3. Importance of Venturi Flow Measurement

Details: Venturi meters provide accurate flow measurement with minimal permanent pressure loss, making them energy-efficient for continuous monitoring.

4. Using the Calculator

Tips: Enter the discharge coefficient (default 0.98), throat area, pipe area, pressure difference, and fluid density (default 1000 kg/m³ for water). All values must be > 0 and throat area must be smaller than pipe area.

5. Frequently Asked Questions (FAQ)

Q1: What's a typical discharge coefficient value?
A: For well-designed Venturi meters, C_d typically ranges from 0.95 to 0.99.

Q2: How do I calculate the areas?
A: Area = π × (diameter/2)². Measure diameters and calculate corresponding areas.

Q3: What units should I use?
A: Use consistent SI units: meters for dimensions, Pascals for pressure, and kg/m³ for density.

Q4: Can I use this for gases?
A: Yes, but be sure to use the correct density for the gas at operating conditions.

Q5: Why must A₂ be smaller than A₁?
A: The Venturi effect relies on constriction to create measurable pressure differences.