Bernoulli Equation Calculator
Apply Bernoulli's equation along a streamline to find pressure/temperature/height relations.
Input Data
Pressure1Pa
Pa
Velocity1Ms
m/s
Height1M
m
Velocity2Ms
m/s
Height2M
m
Fluid Density Kg Per M3
kg/m³
Results
Downstream pressure.
197,891.5Pa
½ρv₁².
500Pa
½ρv₂².
2,000Pa
p₂ − p₁.
96,566.5Pa
At a glance:Along a streamline: p + ½ρv² + ρgh = const. Complements bernoulli-pressure-head and hydrostatic-pressure.
Formula
p + ½ρv² + ρgh = const.
$$P_1 + \frac{1}{2}\rho v_1^2 + \rho g h_1 = P_2 + \frac{1}{2}\rho v_2^2 + \rho g h_2, \quad q = \frac{1}{2}\rho v^2, \quad v = \sqrt{2gh}$$How to Use
- Enter state 1, densities and state 2 partials.
- The tool returns p₂ and differences.
Case Studies
v₁=0, v₂=10, ρ=1000, h same
p₂ = p₁ − 50,000 Pa.
FAQ
Assumptions?
Inviscid, incompressible, steady, along a streamline.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.