Fluid Mechanics - Theory & Concepts - Continuity Bernoulli

A comprehensive overview of Fluid Mechanics explaining fluid statics, pressure, buoyancy, and fluid dynamics principles.

Open the complete lesson

Interactive engineering simulation

Continuity & Bernoulli Venturi Simulator

Adjust the upstream and throat cross-sectional areas. Observe how fluid streamlines compress and accelerate inside the narrow constriction, inducing a corresponding pressure drop.

Upstream Area (A1)0.12 m²

m²

0.03–0.30

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Constricted Throat Area (A2)0.05 m²

m²

0.02–0.20

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Volumetric Flow Rate (Q)0.24 m³/s

m³/s

0.03–0.80

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Total Head Loss (h_L)0.4 m

0.0–4.0

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Governing Formulas

Continuity Equation

Q = A_1 \cdot v_1 = A_2 \cdot v_2

Bernoulli's Energy Balance

\Delta h = \frac{v_2^2 - v_1^2}{2g} + h_L

Upstream Velocity (v1)

2.00 m/s

Constriction Velocity (v2)

4.80 m/s

Total Head Drop (Δh)

1.37 m

Model scope and verification

Use the displayed units and idealizations, then verify the governing balance or compatibility equation before interpreting the result.

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