Venturi Flowmeter Calculator

Venturi Flowmeter Equation:

\[ Q = C \times A_2 \times \sqrt{\frac{2 \Delta P}{\rho \left(1 - \left(\frac{A_2}{A_1}\right)^2\right)}} \]

Coefficient (C):

dimensionless

Throat Area (A₂):

m²

Pressure Difference (ΔP):

Density (ρ):

kg/m³

Inlet Area (A₁):

m²

Flow Rate (Q):

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1. What is the Venturi Flowmeter Equation?

The Venturi flowmeter equation calculates the volumetric flow rate of a fluid through a Venturi tube based on pressure difference measurements. It utilizes the principle of Bernoulli's equation and continuity equation to determine flow rates in various industrial and scientific applications.

2. How Does the Calculator Work?

The calculator uses the Venturi flowmeter equation:

\[ Q = C \times A_2 \times \sqrt{\frac{2 \Delta P}{\rho \left(1 - \left(\frac{A_2}{A_1}\right)^2\right)}} \]

Where:

\( Q \) — Volumetric flow rate (m³/s)
\( C \) — Discharge coefficient (dimensionless)
\( A_2 \) — Throat cross-sectional area (m²)
\( \Delta P \) — Pressure difference (Pa)
\( \rho \) — Fluid density (kg/m³)
\( A_1 \) — Inlet cross-sectional area (m²)

Explanation: The equation accounts for the conservation of energy and mass flow through the constricted section of the Venturi tube.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate measurement is crucial for process control, fluid system design, energy efficiency optimization, and various industrial applications including water treatment, oil and gas, and chemical processing.

4. Using the Calculator

Tips: Enter all parameters in the specified units. Ensure that A₁ > A₂ for valid Venturi operation. Typical discharge coefficient values range from 0.95 to 0.99 for well-designed Venturi meters.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range for discharge coefficient C?
A: For standard Venturi meters, C typically ranges from 0.95 to 0.99, depending on the design and Reynolds number.

Q2: Why must A₁ be greater than A₂?
A: The Venturi effect requires a constriction (A₂ < A₁) to create the pressure difference needed for flow measurement.

Q3: What fluids can be measured with Venturi meters?
A: Venturi meters can measure various Newtonian fluids including water, air, oil, and many industrial liquids and gases.

Q4: What are the advantages of Venturi flowmeters?
A: Low permanent pressure loss, high accuracy, suitability for dirty fluids, and minimal wear compared to other flowmeter types.

Q5: When should Venturi meters not be used?
A: Not recommended for very viscous fluids, non-Newtonian fluids, or applications requiring extremely high accuracy without calibration.