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Venturi Tube Differential Pressure Flow Rate Calculator

Venturi flowmeters measure fluid flow rates in closed conduits by inducing an acceleration pressure drop through a smoothly converging nozzle and gradual recovery diffuser.

Inside diameter of upstream approach pipe.

Inside diameter of constricted throat section.

Pressure difference between inlet tap and throat tap.

Mass density of fluid (1,000 for water, 1.2 for ambient air).

Discharge coefficient per ISO 5167 (typically 0.98 to 0.99 for machined Venturi tubes).

Calculated Result
31.78 L/s

Flow Rate Through Venturi (Q)

Volumetric Flow Rate

31.78 L/s (114.4 m³/h)

Mass Flow Rate

31.78 kg/s

Throat Flow Velocity

7.19 m/s

Diameter Ratio (β)

0.5

Approach Velocity Factor (E)

1.033

Permanent Pressure Loss

3 kPa (12% of ΔP)

Calculation Breakdown

  1. Venturi Geometry Ratios (ISO 5167)β = d/D = 75/150 = 0.5 → E = 1 / √(1 - β⁴) = 1.033
  2. Mass Flow Rate Determinationq_m = C_d × E × A₂ × √(2 × ρ × ΔP) = 0.985 × 1.033 × 0.0044 m² × √(2 × 1000 × 25000) = 31.78 kg/s
  3. Volumetric DischargeQ = q_m / ρ = 31.78 kg/s / 1000 kg/m³ = 31.78 L/s (114.4 m³/h)

Venturi Flow Parameters

Interactive visualization based on your current inputs

Value
0.013253850Flow (L/s)Throat Speed (m/s)Total Loss (kPa)Beta (x 100)ParameterValue

What Is the Venturi Tube Differential Pressure Flow Rate Calculator?

The Venturi Tube Differential Pressure Flow Rate Calculator determines fluid mass and volume flow rates in industrial process piping.

How Does the Venturi Tube Differential Pressure Flow Rate Calculator Work?

It converts measured differential pressure into velocity through the constricted throat using ISO 5167 discharge coefficients and approach velocity factors.

Venturi Tube Differential Pressure Flow Rate Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

q_m = C_d \frac{A_2}{\sqrt{1 - \beta^4}} \sqrt{2 \rho \Delta P}, \quad \beta = \frac{d}{D}, \quad Q = \frac{q_m}{\rho}

ISO 5167 formulation combining Bernoulli energy conservation and continuity equation.

How to Use the Venturi Tube Differential Pressure Flow Rate Calculator

  1. Enter pipe internal diameter and throat diameter in mm.
  2. Specify measured differential pressure across pressure taps in kPa.
  3. Input fluid density and discharge coefficient.

Step-by-Step Example Calculation

150 mm Water Supply Main Venturi Tube

Input Values:

pipeInletDiameterD1Mm:150
venturiThroatDiameterD2Mm:75
differentialPressureKPa:25
fluidDensityKgPerM3:1000
dischargeCoefficientCd:0.985
Worked Steps: Beta ratio is 0.50, delivering 31.81 L/s (114.5 m³/h) at 7.20 m/s throat velocity with only 3.0 kPa permanent pressure loss.

Understanding Your Result

Volumetric Flow Rate: Discharge in L/s and m³/h.

Mass Flow Rate: Mass throughput in kg/s.

Throat Velocity: Flow speed through the constricted restriction.

Factors That Affect the Result

  • Beta ratio (d/D) controls sensitivity: smaller throats produce larger readable ΔP signals but higher throat velocities.

When Should You Use This Calculator?

  • Municipal water distribution metering, compressed gas pipelines, power plant feedwater lines, and chemical plant flow control.

Assumptions & Limitations

  • Assumes fully developed turbulent pipe flow without severe swirling upstream disturbances.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Conforms to ISO 5167-4 Measurement of fluid flow by means of pressure differential devices.

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