Calculateur de Pression de Bernoulli Gratuit
Appliquez l'équation de Bernoulli pour calculer la pression dans un fluide en mouvement. Analysez les variations de pression.
Pressure at Point 2
90,825.00 Pa
Pressure at Point 2 vs Pressure at Point 1
Formule
Bernoulli's Equation
For steady, incompressible, inviscid flow along a streamline, the total energy per unit volume is conserved.
Formula
P1 + 0.5 rho v1^2 + rho g h1 = P2 + 0.5 rho v2^2 + rho g h2
Solving for P2:
P2 = P1 + 0.5 rho (v1^2 - v2^2) + rho g (h1 - h2)
Faster flow means lower pressure (the Venturi effect).
Exemple Résolu
Water in a horizontal pipe narrows from 2 m/s to 5 m/s. P1 = 101325 Pa.
- 01P2 = P1 + 0.5 * 1000 * (4 - 25) + 0
- 02P2 = 101325 + 500 * (-21)
- 03P2 = 101325 - 10500
- 04P2 = 90 825 Pa
Questions Fréquentes
Why does faster flow mean lower pressure?
Energy is conserved along a streamline. If kinetic energy (flow speed) increases, the pressure energy must decrease to compensate.
When does Bernoulli fail?
It fails for viscous flows (high friction), compressible flows (high Mach number), and unsteady flows. Real pipes always have some viscous loss.
Does Bernoulli explain how aeroplane wings work?
Partially. The pressure difference is real, but the common explanation that air travels faster over the curved top because of longer path length is incorrect. Circulation and angle of attack are the primary factors.
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