Venturi Pressure Drop Calculator

Venturi Pressure Drop Equation:

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

Density (ρ):

kg/m³

Flow Rate (Q):

m³/s

Throat Area (A₂):

m²

Inlet Area (A₁):

m²

Pressure Drop (ΔP):

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1. What is Venturi Pressure Drop?

The Venturi effect describes the reduction in fluid pressure that results when a fluid flows through a constricted section (throat) of a pipe. The pressure drop is calculated using the Bernoulli principle and continuity equation for incompressible flow.

2. How Does the Calculator Work?

The calculator uses the Venturi pressure drop equation:

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

Where:

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

Explanation: The equation calculates the theoretical pressure drop across a Venturi tube based on fluid properties and geometry.

3. Importance of Pressure Drop Calculation

Details: Accurate pressure drop calculation is crucial for designing fluid systems, sizing pumps, optimizing energy consumption, and ensuring proper operation of Venturi meters and other flow measurement devices.

4. Using the Calculator

Tips: Enter all values in SI units. Ensure density is positive, flow rate is positive, and both areas are positive with A₂ < A₁ for valid Venturi operation.

5. Frequently Asked Questions (FAQ)

Q1: What assumptions does this equation make?
A: The equation assumes incompressible flow, steady state, no friction losses, and uniform velocity profiles at both sections.

Q2: When is this equation not applicable?
A: Not applicable for compressible flows, highly viscous fluids, or when A₂ ≥ A₁ (no constriction).

Q3: How does density affect pressure drop?
A: Pressure drop increases linearly with fluid density - denser fluids experience greater pressure drops.

Q4: What are typical applications of Venturi tubes?
A: Flow measurement, carburetors, atomizers, injectors, and various industrial fluid handling systems.

Q5: How accurate is this calculation?
A: This gives theoretical ideal pressure drop. Actual pressure drop may be higher due to friction and other real-world factors.