Venturi tube flow calculator

flow rate measurement calculator

online since 2000

pipe flow calculator
Venturi effect calculator
Venturi tube calculator

Venturi Tube Calculator – Quickly Determine Flow Rate with Ease

The Venturi tube flow meter is a widely used device for measuring fluid flow rates in pipelines with high accuracy. This Venturi tube calculator helps you quickly determine the actual flow rate based on the measured pressure difference created by the fluid constriction in the throat of the Venturi tube. Simply enter a few key inputs, and the calculator will instantly provide the flow rate.

The flow rate of a fluid passing through an orifice or nozzle can be determined using the following equation:

Fluid Flow Through an Venturi Tube

q = Cd A 1 - β 4 2 g n h L

Where:

  • q = Flow rate
  • Cd = Coefficient of discharge
  • A = Cross-sectional area
  • β = Diameter ratio (d₁/d₂)
  • gₙ = Acceleration due to gravity
  • hL = Head loss

Understanding the Venturi Effect

The Venturi effect is a fundamental principle in fluid mechanics that describes how a fluid's velocity increases and its pressure decreases when passing through a constricted section of a pipe. This behavior follows Bernoulli’s equation, which states that the total energy in a flowing fluid remains constant.

As fluid enters the narrow throat of a Venturi tube, its velocity increases while the pressure drops. This pressure difference between the wide and narrow sections allows us to calculate the flow rate accurately.

Applications of the Venturi Effect – Ejectors and Injectors

The Venturi effect is utilized in various engineering applications, including:

  • Ejectors – These devices use high-velocity fluid to create a suction effect, drawing in gases or other fluids. They are commonly found in vacuum pumps and refrigeration systems.
  • Injectors – Often used in steam boilers and fuel systems, injectors leverage the Venturi effect to efficiently mix and transport fluids, such as fuel and air in combustion engines.

This Venturi tube calculator simplifies complex fluid flow calculations, making it an essential tool for engineers, technicians, and students. Start using it now to analyze and optimize your flow measurement systems! 🚀

Action
Calculation setup
Pressures
Flow rates and velocities
Venturi dimensions and coefficients
Fluid properties

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Description

p1 - inlet pressure
Absolute pressure at the Venturi inlet
p2 - throat pressure
Absolute pressure at the Venturi throat
Δp - pressure drop
Measured pressure difference
D1 - inlet diameter
Venturi internal inlet diameter
D2 - throat diameter
Venturi throat diameter
e - expansion factor
Coefficient used for compressible flow calculation
C - coefficient of discharge
Coefficient used for Venturi tube based on ISO 5167
ReD - inlet Reynolds
Reynolds number calculated in front of the Venturi tube
Red - throat Reynolds
Reynolds number calculated at the Venturi tube throat
q1 - volumetric flow rate
Fluid flow rate in terms of units of volume per unit of time on the inlet conditions
q - standard flow
Flow rate at standard conditions. Used only if the selected fluid is gas.
ṁ - mass flow rate
Fluid flow rate in terms of units of mass per unit of time
V1 - upstream velocity
Flow velocity at the Venturi tube inlet where flow diameter is D1
T1 - upstream temperature
Fluid temperature for gas density calculation based on the ideal gas state equation
ρ1 - upstream density
Fluid density at the Venturi inlet in terms of mass per unit of volume
R - gas constant
Gas constant in terms of energy per unit of mass and temperature, for gas density calculation using ideal gas state equation
κ - isentropic coefficient
Specific heat ratio
ν - kinematic viscosity
Result of fluid particles colliding to each other and moving at different velocities in terms of area per square unit of time
μ - dynamic viscosity
Result of fluid particles colliding to each other and moving at different velocities in terms of mass per square unit of distance and time

Calculation setup

Select Venturi tube type based on its manufacturing technology
Welded
Venturi tube manufactured by welding
Casted
Venturi tube manufactured by casting
Machined
Venturi tube manufactured by machining
Select value to input. You should enter selected one. The other one will be calculated
p2
pressure in the throat of the Venturi tube
Δp
measured pressure difference in front and in the throat of the Venturi tube
Select value to input. You should enter selected one. The other one will be calculated
ν
kinematic viscosity
μ
dynamic viscosity
Select value to input. Available only if gas is selected. You should enter selected one. The other one will be calculated
T1
upstream temperature.
ρ1
upstream density.
Select fluid type
Gas
for compressible flow where ideal gas state equation is applicable
Liquid
for incompressible flow of liquids
Application of ISO 5167 constraints
ISO constraints
Deselect if you don't want to check if the Venturi tube and the flow conditions are within the limits of the ISO standard.

Why Use This Venturi Tube Calculator?

This Venturi tube calculator allows you to quickly and accurately determine the flow rate in a pipeline using a Venturi tube flow meter. By inputting just a few key values, you can calculate the actual flow rate based on the pressure difference caused by the contraction in the throat of the Venturi tube.

How Does the Venturi Tube Work?

When fluid flows through a Venturi tube, the narrowing at the throat increases velocity while maintaining a constant flow rate. This results in:

  • ✅ Higher dynamic pressure due to increased velocity
  • ✅ Lower static pressure due to conservation of total pressure

This static pressure drop can be easily measured before and at the throat of the Venturi tube, providing the key input needed for flow rate calculations.

Unlike other differential pressure flow meters like an orifice plate, the Venturi tube minimizes pressure loss, making it a preferred choice for accurate and energy-efficient flow measurement.

Additional Applications of the Venturi Effect

This calculator can also be used to analyze the Venturi effect, which is applied in various engineering devices, including:

  • 🔹 Venturi vacuum pumps – Used in pneumatic systems
  • 🔹 Gas burners – Enhancing fuel and air mixing
  • 🔹 Wine aerators – Improving oxygenation for better flavor
  • 🔹 Aspirators and grills – Creating airflow and suction

When Is This Calculator Suitable?

This tool is designed for subsonic, single-phase liquid or ideal gas flow. It provides reliable results for steady-state flow conditions where flow rate remains constant.

When Is This Calculator Not Applicable?

This calculator is not suitable for:

  • ❌ Multiphase fluids (e.g., liquid-solid or liquid-gas mixtures)
  • ❌ Non-ideal gases that deviate from the ideal gas law
  • ❌ Pulsating or unsteady flows, where flow rate fluctuates over time
  • ❌ Choked flow conditions, where velocity nears the speed of sound

What You Need to Perform the Calculation

To calculate the flow rate, you need to enter:

  • 🔹 Venturi tube inlet and throat diameters
  • 🔹 Fluid properties (density and viscosity)

For gas flow, you can enter:

  • 🔹 Gas constant, pressure, and temperature (instead of density)
  • 🔹 The calculator will determine the density using the ideal gas law

How Is the Calculation Performed?

This calculator follows the ISO 5167-4 standard, ensuring precision and reliability. However, accurate results are only guaranteed if the Venturi tube meets ISO requirements.

ISO 5167-4 Standard Conditions

For a perfect gas, the pressure ratio p₂/p₁ must be greater than 0.75.

    As-cast Venturi tubes:
  • 100 mm < D < 800 mm
  • 0.3 < β < 0.75
  • 200,000 < ReD < 2,000,000

    Welded sheet iron Venturi tubes:
  • 200 mm < D < 1200 mm
  • 0.4 < β < 0.7
  • 200,000 < ReD < 2,000,000

    Machined Venturi tubes:
  • 50 mm < D < 250 mm
  • 0.4 < β < 0.75
  • 200,000 < ReD < 1,000,000

(β = diameter ratio d/D)

What If Your Calculation Falls Outside These Limits?

If your Venturi tube or flow conditions do not meet ISO 5167-4 standards, the calculator will display a warning. You can still proceed with the calculation by choosing to ignore ISO constraints, but accuracy may be affected.

Use this Venturi tube calculator for precise, reliable, and efficient flow rate calculations in engineering applications! 🚀

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