How does the Bernoulli Equation Calculator work?

P₁ + ½ρv₁² + ρgh₁ = P₂ + ½ρv₂² + ρgh₂ Then: ρ = fluid density (water: 1,000 kg/m³) Then: Higher velocity → lower static pressure (Venturi effect) Then: Assumes incompressible, non-viscous, steady flow.

Can you give an example of how to use the Bernoulli Equation Calculator?

Example: Input Pipe narrows from 0.1m² to 0.04m², v₁=2m/s gives a result of v₂ = (0.1/0.04) × 2 = 5 m/s; pressure at narrow section drops.

Is the Bernoulli Equation Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Bernoulli Equation Calculator?

Our Bernoulli Equation Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Bernoulli Equation Calculator

P₁ Pressure (Pa)

v₁ Velocity (m/s)

h₁ Height (m)

v₂ Velocity (m/s)

h₂ Height (m)

Fluid Density (kg/m³)

Bernoulli's principle states that in a flowing fluid, faster flow means lower pressure. It explains aircraft lift, carburettors, Venturi meters, and why shower curtains billow inward.

Symbol	Name	Unit	Description
n	Number of trials	—	—
k	Number of successes	—	—
p	Probability of success	0–1	—
C(n,k)	Binomial coefficient (n choose k)	—	—

Application	How Bernoulli applies
Aircraft wing	Faster air over top → lower pressure → lift
Venturi meter	Pressure drop measures flow rate
Carburettor	Fast air draws fuel upward
Aerofoil sails	Pressure difference generates drive

References

›Bernoulli's principle — Khan Academy

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Bernoulli Equation Calculator

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Bernoulli Equation Calculator