Bernoulli equation (simplified / modified / full)

Convert a Doppler velocity to a pressure gradient. Enter a proximal velocity to switch from the simplified to the modified form.

Shared values — enter once, reused everywhere

Height

Weight

Heart rate

bpm

Enter height and weight to derive BSA for indexed results (AVA index, cardiac index). Stays in your browser; nothing is sent anywhere.

Distal (peak) velocity

Proximal velocity (optional)

Include when > 1 m/s

ΔP = 64 mmHg

Simplified form (proximal velocity assumed negligible)

Worked steps

Simplified Bernoulli
ΔP = 4v² = 4 × 4.0² = 64 mmHg

Reference: The full Bernoulli adds flow-acceleration and viscous terms that are clinically negligible; the modified form matters when the proximal velocity exceeds ~1 m/s.

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