Bernoulli Venturi Tube Throat Velocity & Differential Pressure Calculator

Apply continuity (A₁v₁ = A₂v₂) and Bernoulli pressure drop across a constriction.

Venturi Static Pressure Drop (ΔP)
16.84 kPa
Throat Flow Velocity (v₂) 6 m/s
Volumetric Flow Rate 11.78 L/s
Pressure Drop in PSI 2.44 psi
Inputs
mm
Upstream pipe inlet diameter (D₁) in millimeters.
mm
Constricted Venturi throat diameter (D₂) in millimeters.
m/s
Upstream fluid velocity (v₁) in meters per second.
kg/m³
Fluid density (ρ) in kg/m³.
Results & Graph
Venturi Static Pressure Drop (ΔP)
16.84 kPa
Throat Flow Velocity (v₂)
6 m/s
Volumetric Flow Rate
11.78 L/s
Pressure Drop in PSI
2.44 psi

Venturi Static Pressure Drop (ΔP)

Graph 1 • Inlet Diameter Mm Sensitivity Recalculates the domain equation across 50% to 150% of the primary input while holding other parameters constant.
0 kPa 48.5 kPa 97.0 kPa 50%: 0 kPa 0 50% 75%: 4.56 kPa 4.6 75% 100%: 16.84 kPa 16.8 100% 125%: 42.73 kPa 42.7 125% 150%: 89.82 kPa 89.8 150%
Graph 2 • Primary & Supporting Metric Comparison Compares the primary output alongside supporting domain benchmarks.
Venturi Static Pressure Drop (ΔP) 16.84 kPa Throat Flow Velocity (v₂) 6 m/s Volumetric Flow Rate 11.78 L/s Pressure Drop in PSI 2.44 psi
Graph 3 • Exact Output Table & Units Displays each calculated output in its exact domain unit.
Venturi Static Pressure Drop (ΔP)16.84 kPaThroat Flow Velocity (v₂)6 m/sVolumetric Flow Rate11.78 L/sPressure Drop in PSI2.44 psi
Summary: Constricting from 100 mm to 50 mm accelerates fluid from 1.5 m/s to 6 m/s, creating a 16.84 kPa Bernoulli pressure drop.
Summary: Constricting from 100 mm to 50 mm accelerates fluid from 1.5 m/s to 6 m/s, creating a 16.84 kPa Bernoulli pressure drop.
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Formula & Mathematical Methodology: Bernoulli Venturi Flow Physics & Engineering Equation

v₂ = v₁ × (D₁ / D₂)²
ΔP = 0.5 × ρ × (v₂² − v₁²)
v₂ = v₁ × (D₁ / D₂)²; ΔP = 0.5 × ρ × (v₂² − v₁²)
  • inletDiameterMm: Inlet Diameter Mm (mm)
  • throatDiameterMm: Throat Diameter Mm (mm)
  • inletVelocityMps: Inlet Velocity Mps (m/s)
  • fluidDensityKgM3: Fluid Density Kg M3 (kg/m³)

Rounding: Physical constants follow CODATA/NIST values; output quantities display to 2 decimal places.

Worked Example: Physics & Engineering Benchmark: Bernoulli Venturi Flow

Apply continuity (A₁v₁ = A₂v₂) and Bernoulli pressure drop across a constriction.

  1. Enter the physical dimensions, electrical parameters, or thermodynamic state variables.
  2. Apply the governing equation: v₂ = v₁ × (D₁ / D₂)²; ΔP = 0.5 × ρ × (v₂² − v₁²).
  3. Inspect the primary SI output, derived quantities, and 3 visual SVG graphs.
Result: Computes Bernoulli Venturi Flow via v₂ = v₁ × (D₁ / D₂)²; ΔP = 0.5 × ρ × (v₂² − v₁²).

Frequently Asked Questions

What equation powers the Bernoulli Venturi Tube Throat Velocity & Differential Pressure Calculator?

It evaluates v₂ = v₁ × (D₁ / D₂)²; ΔP = 0.5 × ρ × (v₂² − v₁²) using IEEE-754 double precision and renders three synchronized SVG plots.

Can I test parameter sensitivity across multiple values?

Yes. Graph 1 automatically plots a 50%–150% parameter response curve, and you can pin up to 3 custom scenarios.

Are all units consistent with SI standards?

Yes. Each input field specifies its exact SI or engineering unit and converts internally where needed.

Science & Engineering · Fluid Mechanics & Hydraulics

Bernoulli Venturi Tube Throat Velocity & Differential Pressure Calculator: inputs, method, and how to read the result

Apply continuity (A₁v₁ = A₂v₂) and Bernoulli pressure drop across a constriction.

Choose inputs for the case you are checking

The defaults are illustrative. Replace them with values for your case and keep the units shown beside each field.

  • Inlet Diameter Mm: Upstream pipe inlet diameter (D₁) in millimeters.
  • Throat Diameter Mm: Constricted Venturi throat diameter (D₂) in millimeters.
  • Inlet Velocity Mps: Upstream fluid velocity (v₁) in meters per second.
  • Fluid Density Kg M3: Fluid density (ρ) in kg/m³.

What the calculation includes

With the default values shown, Venturi Static Pressure Drop (ΔP) is 16.84 kPa. The calculation follows Bernoulli Venturi Flow Physics & Engineering Equation; the formula and variable definitions above show how the inputs combine.

One-input check: With the other defaults held constant, changing Inlet Diameter Mm from 100 mm to 110 mm changes Venturi Static Pressure Drop (ΔP) from 16.84 kPa to 25.18 kPa. This is a comparison inside the calculator's stated model, not a prediction.

Where to use caution

  • Uses standard SI physical constants (g = 9.80665 m/s², c = 299,792,458 m/s, σ = 5.670374×10⁻⁸ W·m⁻²·K⁻⁴).
  • Engineering reference model; apply appropriate safety factors and empirical calibration for critical hardware designs.

Scope: SI / NIST Physics & Engineering Standard Check the assumptions and limitations against your situation before relying on the estimate.

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