Enter the fluid density, input area, output area, and input velocity into the calculator to determine the output velocity using the Venturi effect.

Venturi Effect Formula

The following formula is used to calculate the output velocity of a fluid flowing through a Venturi tube:

V<sub>out</sub> = (A<sub>in</sub> / A<sub>out</sub>) * V<sub>in</sub>

Variables:

  • Vout is the output velocity (m/s)
  • Ain is the input area (m²)
  • Aout is the output area (m²)
  • Vin is the input velocity (m/s)

To calculate the output velocity, multiply the input area by the input velocity and then divide by the output area. This calculation is based on the principle of conservation of mass in a fluid dynamics context, where the product of the cross-sectional area and the velocity at any point along the streamline is constant.

What is the Venturi Effect?

The Venturi effect is a fluid dynamics phenomenon that occurs when a fluid flows through a constricted section of a pipe. As the fluid enters the narrower section, its velocity increases and its pressure decreases. This effect is used in various applications, such as in carburetors and aspirators, to create a low-pressure area and induce the flow of a secondary fluid.

How to Calculate Output Velocity using the Venturi Effect?

The following steps outline how to calculate the output velocity using the Venturi effect:

  1. First, determine the fluid density (optional for this calculation).
  2. Next, determine the input area (Ain) in square meters.
  3. Next, determine the output area (Aout) in square meters.
  4. Next, determine the input velocity (Vin) in meters per second.
  5. Next, gather the formula from above Vout = (Ain / Aout) * Vin.
  6. Finally, calculate the output velocity (Vout) in meters per second.
  7. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Fluid Density (optional for this calculation) = 1000 kg/m³

Input Area (Ain) = 0.05 m²

Output Area (Aout) = 0.02 m²

Input Velocity (Vin) = 3 m/s