Bernoulli Equation Calculator
P1 + ½ρv1² + ρgh1 = P2 + ½ρv2² + ρgh2. Solve for any unknown at Point 2.
Fluid & Point 1
Point 2 (enter knowns)
P2
--
Pa
v2
--
m/s
h2
--
m
How this was calculated
Bernoulli's Equation: P1 + ½ρv1² + ρgh1 = P2 + ½ρv2² + ρgh2
Total energy at Point 1 = E1 = P1 + 0.5*rho*v1^2 + rho*g*h1
Solving for P2: P2 = E1 - 0.5*rho*v2^2 - rho*g*h2
Solving for v2: v2 = sqrt(2*(E1 - P2 - rho*g*h2)/rho)
Solving for h2: h2 = (E1 - P2 - 0.5*rho*v2^2) / (rho*g)
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Book a free strategy call →Understanding the Bernoulli Equation
Bernoulli's equation is a statement of energy conservation for flowing fluids. It relates pressure (static energy), kinetic energy (velocity), and potential energy (elevation) along a streamline in steady, incompressible, inviscid flow.
In petroleum and process engineering, Bernoulli's principle is used for flowline design, choke sizing, venturi meters, separator inlet design, and understanding pressure changes in piping systems.
For real fluids, friction losses (Darcy-Weisbach) and pump/turbine work terms are added to create the extended Bernoulli equation (energy equation).
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